%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : ALG061+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 16:36:06 EDT 2023

% Result   : Theorem 13.97s 2.64s
% Output   : Proof 75.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG061+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.17/0.34  % Computer : n021.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Mon Aug 28 03:56:43 EDT 2023
% 0.17/0.34  % CPUTime  : 
% 0.20/0.59  ________       _____
% 0.20/0.59  ___  __ \_________(_)________________________________
% 0.20/0.59  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.20/0.59  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.20/0.59  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.20/0.59  
% 0.20/0.59  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.59  (2023-06-19)
% 0.20/0.59  
% 0.20/0.59  (c) Philipp Rümmer, 2009-2023
% 0.20/0.59  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.59                Amanda Stjerna.
% 0.20/0.59  Free software under BSD-3-Clause.
% 0.20/0.59  
% 0.20/0.59  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.59  
% 0.20/0.59  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.60  Running up to 7 provers in parallel.
% 0.20/0.62  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.62  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.62  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.62  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.62  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.62  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.62  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 6.49/1.62  Prover 1: Preprocessing ...
% 6.79/1.66  Prover 4: Preprocessing ...
% 6.79/1.66  Prover 5: Preprocessing ...
% 6.79/1.67  Prover 0: Preprocessing ...
% 6.79/1.67  Prover 2: Preprocessing ...
% 6.79/1.67  Prover 6: Preprocessing ...
% 6.79/1.67  Prover 3: Preprocessing ...
% 10.21/2.17  Prover 4: Constructing countermodel ...
% 10.21/2.20  Prover 2: Constructing countermodel ...
% 10.21/2.21  Prover 1: Constructing countermodel ...
% 10.21/2.24  Prover 3: Constructing countermodel ...
% 10.21/2.25  Prover 0: Constructing countermodel ...
% 10.21/2.29  Prover 6: Constructing countermodel ...
% 13.97/2.63  Prover 6: proved (2014ms)
% 13.97/2.63  
% 13.97/2.64  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.97/2.64  
% 13.97/2.64  Prover 3: stopped
% 13.97/2.64  Prover 2: stopped
% 13.97/2.65  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 13.97/2.65  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 13.97/2.65  Prover 0: stopped
% 14.32/2.66  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 14.32/2.67  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 15.24/2.85  Prover 5: Constructing countermodel ...
% 15.24/2.87  Prover 5: stopped
% 15.24/2.88  Prover 10: Preprocessing ...
% 15.24/2.88  Prover 7: Preprocessing ...
% 15.24/2.88  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 15.24/2.91  Prover 8: Preprocessing ...
% 15.24/2.94  Prover 11: Preprocessing ...
% 16.86/3.01  Prover 13: Preprocessing ...
% 16.86/3.07  Prover 8: Constructing countermodel ...
% 17.36/3.12  Prover 10: Constructing countermodel ...
% 17.36/3.14  Prover 7: Constructing countermodel ...
% 18.24/3.19  Prover 11: Constructing countermodel ...
% 18.52/3.23  Prover 13: Constructing countermodel ...
% 62.80/9.12  Prover 13: stopped
% 62.80/9.12  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 64.22/9.25  Prover 16: Preprocessing ...
% 66.24/9.51  Prover 16: Constructing countermodel ...
% 69.89/9.97  Prover 1: Found proof (size 16653)
% 69.89/9.97  Prover 1: proved (9358ms)
% 69.89/9.97  Prover 16: stopped
% 69.89/9.97  Prover 8: stopped
% 69.89/9.97  Prover 4: stopped
% 69.89/9.97  Prover 11: stopped
% 69.89/9.97  Prover 10: stopped
% 69.89/9.97  Prover 7: stopped
% 69.89/9.97  
% 69.89/9.97  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 69.89/9.97  
% 71.06/10.27  % SZS output start Proof for theBenchmark
% 71.06/10.30  Assumptions after simplification:
% 71.06/10.30  ---------------------------------
% 71.06/10.30  
% 71.06/10.30    (ax1)
% 71.37/10.36    $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ?
% 71.37/10.36    [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i]
% 71.37/10.36    :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ?
% 71.37/10.36    [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ?
% 71.37/10.36    [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 71.37/10.36    [v23: $i] :  ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 71.37/10.36      v22 & op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) =
% 71.37/10.36      v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2, e4) =
% 71.37/10.36      v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11 & op(e2, e0) =
% 71.37/10.36      v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = v7 & op(e1, e1) = v6
% 71.37/10.36      & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 71.37/10.36      op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 71.37/10.36      $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 71.37/10.36      $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 71.37/10.36      $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 |
% 71.37/10.36        v24 = e2 | v24 = e1 | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 =
% 71.37/10.36        e1 | v23 = e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) &
% 71.37/10.36      (v21 = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20 =
% 71.37/10.36        e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19 = e2 |
% 71.37/10.36        v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18 = e1 | v18 =
% 71.37/10.36        e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17 = e0) & (v16 = e4 |
% 71.37/10.36        v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & (v15 = e4 | v15 = e3 | v15 =
% 71.37/10.36        e2 | v15 = e1 | v15 = e0) & (v14 = e4 | v14 = e3 | v14 = e2 | v14 = e1 |
% 71.37/10.36        v14 = e0) & (v13 = e4 | v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12
% 71.37/10.36        = e4 | v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 |
% 71.37/10.36        v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 =
% 71.37/10.36        e1 | v10 = e0) & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 =
% 71.37/10.36        e4 | v8 = e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2
% 71.37/10.36        | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 = e0) &
% 71.37/10.36      (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4 | v4 = e3 | v4
% 71.37/10.36        = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 =
% 71.37/10.36        e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e4 | v1 =
% 71.37/10.36        e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1
% 71.37/10.36        | v0 = e0))
% 71.37/10.36  
% 71.37/10.36    (ax3)
% 71.37/10.38    $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ?
% 71.37/10.38    [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i]
% 71.37/10.38    :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ?
% 71.37/10.38    [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ?
% 71.37/10.38    [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 71.37/10.38    [v23: $i] :  ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 71.37/10.38      v20 & op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3, e3) =
% 71.37/10.38      v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7 & op(e2, e4) =
% 71.37/10.38      v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2, e1) = v13 & op(e2, e0) =
% 71.37/10.38      v6 & op(e1, e4) = v12 & op(e1, e3) = v11 & op(e1, e2) = v10 & op(e1, e1) =
% 71.37/10.38      v9 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 71.37/10.38      op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 71.37/10.38      $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 71.37/10.38      $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 71.37/10.38      $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v23 = e4 |
% 71.37/10.38        v20 = e4 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 | v18 = e4 | v12 =
% 71.37/10.38        e4 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 | v15 = e3 | v8 = e3) &
% 71.37/10.38      (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 | v4 = e3) & (v24 = e2 | v23 = e2
% 71.37/10.38        | v20 = e2 | v15 = e2 | v8 = e2) & (v24 = e2 | v22 = e2 | v18 = e2 | v12 =
% 71.37/10.38        e2 | v4 = e2) & (v24 = e1 | v23 = e1 | v20 = e1 | v15 = e1 | v8 = e1) &
% 71.37/10.38      (v24 = e1 | v22 = e1 | v18 = e1 | v12 = e1 | v4 = e1) & (v24 = e0 | v23 = e0
% 71.37/10.38        | v20 = e0 | v15 = e0 | v8 = e0) & (v24 = e0 | v22 = e0 | v18 = e0 | v12 =
% 71.37/10.38        e0 | v4 = e0) & (v23 = e4 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) &
% 71.37/10.38      (v23 = e3 | v21 = e3 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 | v21 = e2
% 71.37/10.38        | v17 = e2 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 | v17 = e1 | v11 =
% 71.37/10.38        e1 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 | v11 = e0 | v3 = e0) &
% 71.37/10.38      (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 | v7 = e4) & (v22 = e3 | v21 = e3
% 71.37/10.38        | v19 = e3 | v14 = e3 | v7 = e3) & (v22 = e2 | v21 = e2 | v19 = e2 | v14 =
% 71.37/10.38        e2 | v7 = e2) & (v22 = e1 | v21 = e1 | v19 = e1 | v14 = e1 | v7 = e1) &
% 71.37/10.38      (v22 = e0 | v21 = e0 | v19 = e0 | v14 = e0 | v7 = e0) & (v20 = e4 | v19 = e4
% 71.37/10.38        | v16 = e4 | v10 = e4 | v2 = e4) & (v20 = e3 | v19 = e3 | v16 = e3 | v10 =
% 71.37/10.38        e3 | v2 = e3) & (v20 = e2 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) &
% 71.37/10.38      (v20 = e1 | v19 = e1 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 | v19 = e0
% 71.37/10.38        | v16 = e0 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 | v16 = e4 | v13 =
% 71.37/10.38        e4 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 | v13 = e3 | v6 = e3) &
% 71.37/10.38      (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 | v6 = e2) & (v18 = e1 | v17 = e1
% 71.37/10.38        | v16 = e1 | v13 = e1 | v6 = e1) & (v18 = e0 | v17 = e0 | v16 = e0 | v13 =
% 71.37/10.38        e0 | v6 = e0) & (v15 = e4 | v14 = e4 | v13 = e4 | v9 = e4 | v1 = e4) &
% 71.37/10.38      (v15 = e3 | v14 = e3 | v13 = e3 | v9 = e3 | v1 = e3) & (v15 = e2 | v14 = e2
% 71.37/10.38        | v13 = e2 | v9 = e2 | v1 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v9 =
% 71.37/10.38        e1 | v1 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v9 = e0 | v1 = e0) &
% 71.37/10.38      (v12 = e4 | v11 = e4 | v10 = e4 | v9 = e4 | v5 = e4) & (v12 = e3 | v11 = e3
% 71.37/10.38        | v10 = e3 | v9 = e3 | v5 = e3) & (v12 = e2 | v11 = e2 | v10 = e2 | v9 =
% 71.37/10.38        e2 | v5 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 | v9 = e1 | v5 = e1) &
% 71.37/10.38      (v12 = e0 | v11 = e0 | v10 = e0 | v9 = e0 | v5 = e0) & (v8 = e4 | v7 = e4 |
% 71.37/10.38        v6 = e4 | v5 = e4 | v0 = e4) & (v8 = e3 | v7 = e3 | v6 = e3 | v5 = e3 | v0
% 71.37/10.38        = e3) & (v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2 | v0 = e2) & (v8 = e1 | v7
% 71.37/10.38        = e1 | v6 = e1 | v5 = e1 | v0 = e1) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 =
% 71.37/10.38        e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 =
% 71.37/10.38        e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2 = e1
% 71.37/10.38        | v1 = e1 | v0 = e1) & (v0 = e0 | ((v8 = e0 | v7 = e0 | v6 = e0 | v5 = e0)
% 71.37/10.38          & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0))))
% 71.37/10.38  
% 71.37/10.38    (ax4)
% 71.37/10.39    $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ?
% 71.37/10.39    [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i]
% 71.37/10.39    :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ?
% 71.37/10.39    [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ?
% 71.37/10.39    [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 71.37/10.39    [v23: $i] :  ? [v24: $i] : ( ~ (v24 = v23) &  ~ (v24 = v22) &  ~ (v24 = v21) &
% 71.37/10.39       ~ (v24 = v20) &  ~ (v24 = v19) &  ~ (v24 = v14) &  ~ (v24 = v9) &  ~ (v24 =
% 71.37/10.39        v4) &  ~ (v23 = v22) &  ~ (v23 = v21) &  ~ (v23 = v20) &  ~ (v23 = v18) & 
% 71.37/10.39      ~ (v23 = v13) &  ~ (v23 = v8) &  ~ (v23 = v3) &  ~ (v22 = v21) &  ~ (v22 =
% 71.37/10.39        v20) &  ~ (v22 = v17) &  ~ (v22 = v12) &  ~ (v22 = v7) &  ~ (v22 = v2) & 
% 71.37/10.39      ~ (v21 = v20) &  ~ (v21 = v16) &  ~ (v21 = v11) &  ~ (v21 = v6) &  ~ (v21 =
% 71.37/10.39        v1) &  ~ (v20 = v15) &  ~ (v20 = v10) &  ~ (v20 = v5) &  ~ (v20 = v0) &  ~
% 71.37/10.39      (v19 = v18) &  ~ (v19 = v17) &  ~ (v19 = v16) &  ~ (v19 = v15) &  ~ (v19 =
% 71.37/10.39        v14) &  ~ (v19 = v9) &  ~ (v19 = v4) &  ~ (v18 = v17) &  ~ (v18 = v16) & 
% 71.37/10.39      ~ (v18 = v15) &  ~ (v18 = v13) &  ~ (v18 = v8) &  ~ (v18 = v3) &  ~ (v17 =
% 71.37/10.39        v16) &  ~ (v17 = v15) &  ~ (v17 = v12) &  ~ (v17 = v7) &  ~ (v17 = v2) & 
% 71.37/10.39      ~ (v16 = v15) &  ~ (v16 = v11) &  ~ (v16 = v6) &  ~ (v16 = v1) &  ~ (v15 =
% 71.37/10.39        v10) &  ~ (v15 = v5) &  ~ (v15 = v0) &  ~ (v14 = v13) &  ~ (v14 = v12) & 
% 71.37/10.39      ~ (v14 = v11) &  ~ (v14 = v10) &  ~ (v14 = v9) &  ~ (v14 = v4) &  ~ (v13 =
% 71.37/10.39        v12) &  ~ (v13 = v11) &  ~ (v13 = v10) &  ~ (v13 = v8) &  ~ (v13 = v3) & 
% 71.37/10.39      ~ (v12 = v11) &  ~ (v12 = v10) &  ~ (v12 = v7) &  ~ (v12 = v2) &  ~ (v11 =
% 71.37/10.39        v10) &  ~ (v11 = v6) &  ~ (v11 = v1) &  ~ (v10 = v5) &  ~ (v10 = v0) &  ~
% 71.37/10.39      (v9 = v8) &  ~ (v9 = v7) &  ~ (v9 = v6) &  ~ (v9 = v5) &  ~ (v9 = v4) &  ~
% 71.37/10.39      (v8 = v7) &  ~ (v8 = v6) &  ~ (v8 = v5) &  ~ (v8 = v3) &  ~ (v7 = v6) &  ~
% 71.37/10.39      (v7 = v5) &  ~ (v7 = v2) &  ~ (v6 = v5) &  ~ (v6 = v1) &  ~ (v5 = v0) &  ~
% 71.37/10.39      (v4 = v3) &  ~ (v4 = v2) &  ~ (v4 = v1) &  ~ (v4 = v0) &  ~ (v3 = v2) &  ~
% 71.37/10.39      (v3 = v1) &  ~ (v3 = v0) &  ~ (v2 = v1) &  ~ (v2 = v0) &  ~ (v1 = v0) &
% 71.37/10.39      op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4, e2) = v14 & op(e4, e1) = v9 &
% 71.37/10.39      op(e4, e0) = v4 & op(e3, e4) = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 &
% 71.37/10.39      op(e3, e1) = v8 & op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 &
% 71.37/10.39      op(e2, e2) = v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 &
% 71.37/10.39      op(e1, e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 &
% 71.37/10.39      op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) = v5 &
% 71.37/10.39      op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19)
% 71.37/10.39      & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 71.37/10.39      $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 71.37/10.39      $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 71.37/10.39  
% 71.37/10.39    (ax5)
% 71.37/10.39     ~ (e4 = e3) &  ~ (e4 = e2) &  ~ (e4 = e1) &  ~ (e4 = e0) &  ~ (e3 = e2) &  ~
% 71.37/10.39    (e3 = e1) &  ~ (e3 = e0) &  ~ (e2 = e1) &  ~ (e2 = e0) &  ~ (e1 = e0) & $i(e4)
% 71.37/10.39    & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 71.37/10.39  
% 71.37/10.39    (ax6)
% 71.37/10.39    op(e4, e4) = e2 & op(e2, e2) = e3 & op(e1, e2) = e0 & op(e1, e1) = e4 & $i(e4)
% 71.37/10.39    & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 71.37/10.39  
% 71.37/10.39    (co1)
% 71.37/10.41    $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ?
% 71.37/10.41    [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i]
% 71.37/10.41    :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ?
% 71.37/10.41    [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ?
% 71.37/10.41    [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 71.37/10.41    [v23: $i] :  ? [v24: $i] :  ? [v25: $i] :  ? [v26: $i] :  ? [v27: $i] :  ?
% 71.37/10.41    [v28: $i] :  ? [v29: $i] :  ? [v30: $i] :  ? [v31: $i] :  ? [v32: $i] :  ?
% 71.37/10.41    [v33: $i] :  ? [v34: $i] :  ? [v35: $i] :  ? [v36: $i] :  ? [v37: $i] :  ?
% 71.37/10.41    [v38: $i] :  ? [v39: $i] :  ? [v40: $i] :  ? [v41: $i] :  ? [v42: $i] :  ?
% 71.37/10.41    [v43: $i] :  ? [v44: $i] :  ? [v45: $i] :  ? [v46: $i] :  ? [v47: $i] :  ?
% 71.37/10.41    [v48: $i] :  ? [v49: $i] :  ? [v50: $i] :  ? [v51: $i] :  ? [v52: $i] :  ?
% 71.37/10.41    [v53: $i] :  ? [v54: $i] :  ? [v55: $i] :  ? [v56: $i] :  ? [v57: $i] :  ?
% 71.37/10.41    [v58: $i] :  ? [v59: $i] :  ? [v60: $i] :  ? [v61: $i] :  ? [v62: $i] :  ?
% 71.37/10.41    [v63: $i] :  ? [v64: $i] :  ? [v65: $i] :  ? [v66: $i] :  ? [v67: $i] :  ?
% 71.37/10.41    [v68: $i] :  ? [v69: $i] : (op(e4, v66) = v68 & op(e4, v63) = v65 & op(e4,
% 71.37/10.41        v60) = v62 & op(e4, v57) = v59 & op(e4, v54) = v55 & op(e4, v41) = v42 &
% 71.37/10.41      op(e4, v28) = v29 & op(e4, v15) = v16 & op(e4, v4) = v69 & op(e4, e4) = v4 &
% 71.37/10.41      op(e4, e3) = v54 & op(e4, e2) = v41 & op(e4, e1) = v28 & op(e4, e0) = v15 &
% 71.37/10.41      op(e3, v66) = v67 & op(e3, v54) = v56 & op(e3, v50) = v52 & op(e3, v47) =
% 71.37/10.41      v49 & op(e3, v44) = v46 & op(e3, v38) = v39 & op(e3, v25) = v26 & op(e3,
% 71.37/10.41        v12) = v13 & op(e3, v3) = v53 & op(e3, e4) = v66 & op(e3, e3) = v3 &
% 71.37/10.41      op(e3, e2) = v38 & op(e3, e1) = v25 & op(e3, e0) = v12 & op(e2, v63) = v64 &
% 71.37/10.41      op(e2, v50) = v51 & op(e2, v41) = v43 & op(e2, v38) = v40 & op(e2, v34) =
% 71.37/10.41      v36 & op(e2, v31) = v33 & op(e2, v22) = v23 & op(e2, v9) = v10 & op(e2, v2)
% 71.37/10.41      = v37 & op(e2, e4) = v63 & op(e2, e3) = v50 & op(e2, e2) = v2 & op(e2, e1) =
% 71.37/10.41      v22 & op(e2, e0) = v9 & op(e1, v60) = v61 & op(e1, v47) = v48 & op(e1, v34)
% 71.37/10.41      = v35 & op(e1, v28) = v30 & op(e1, v25) = v27 & op(e1, v22) = v24 & op(e1,
% 71.37/10.41        v18) = v20 & op(e1, v6) = v7 & op(e1, v1) = v21 & op(e1, e4) = v60 &
% 71.37/10.41      op(e1, e3) = v47 & op(e1, e2) = v34 & op(e1, e1) = v1 & op(e1, e0) = v6 &
% 71.37/10.41      op(e0, v57) = v58 & op(e0, v44) = v45 & op(e0, v31) = v32 & op(e0, v18) =
% 71.37/10.41      v19 & op(e0, v15) = v17 & op(e0, v12) = v14 & op(e0, v9) = v11 & op(e0, v6)
% 71.37/10.41      = v8 & op(e0, v0) = v5 & op(e0, e4) = v57 & op(e0, e3) = v44 & op(e0, e2) =
% 71.37/10.41      v31 & op(e0, e1) = v18 & op(e0, e0) = v0 & $i(v69) & $i(v68) & $i(v67) &
% 71.37/10.41      $i(v66) & $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) &
% 71.37/10.41      $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) &
% 71.37/10.41      $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46) &
% 71.37/10.41      $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) &
% 71.37/10.41      $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) & $i(v33) & $i(v32) &
% 71.37/10.41      $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) &
% 71.37/10.41      $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) &
% 71.37/10.41      $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) &
% 71.37/10.41      $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 71.37/10.41      $i(v2) & $i(v1) & $i(v0) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 = e4 | v0 = e4)
% 71.37/10.41      & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 = e2 | v3 = e2 |
% 71.37/10.41        v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2 = e1 | v1 = e1 | v0
% 71.37/10.41        = e1) & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0 | v0 = e0) & ((v68 = e3 & 
% 71.37/10.41          ~ (v67 = e4)) | (v65 = e2 &  ~ (v64 = e4)) | (v62 = e1 &  ~ (v61 = e4))
% 71.37/10.41        | (v59 = e0 &  ~ (v58 = e4))) & ((v56 = e4 &  ~ (v55 = e3)) | (v52 = e2 & 
% 71.37/10.41          ~ (v51 = e3)) | (v49 = e1 &  ~ (v48 = e3)) | (v46 = e0 &  ~ (v45 = e3)))
% 71.37/10.41      & ((v43 = e4 &  ~ (v42 = e2)) | (v40 = e3 &  ~ (v39 = e2)) | (v36 = e1 &  ~
% 71.37/10.41          (v35 = e2)) | (v33 = e0 &  ~ (v32 = e2))) & ((v30 = e4 &  ~ (v29 = e1))
% 71.37/10.41        | (v27 = e3 &  ~ (v26 = e1)) | (v24 = e2 &  ~ (v23 = e1)) | (v20 = e0 &  ~
% 71.37/10.41          (v19 = e1))) & ((v17 = e4 &  ~ (v16 = e0)) | (v14 = e3 &  ~ (v13 = e0))
% 71.37/10.41        | (v11 = e2 &  ~ (v10 = e0)) | (v8 = e1 &  ~ (v7 = e0))))
% 71.37/10.41  
% 71.37/10.41    (function-axioms)
% 71.37/10.41     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (op(v3,
% 71.37/10.41          v2) = v1) |  ~ (op(v3, v2) = v0))
% 71.37/10.41  
% 71.37/10.41  Further assumptions not needed in the proof:
% 71.37/10.41  --------------------------------------------
% 71.37/10.41  ax2
% 71.37/10.41  
% 71.37/10.41  Those formulas are unsatisfiable:
% 71.37/10.41  ---------------------------------
% 71.37/10.41  
% 71.37/10.41  Begin of proof
% 71.37/10.42  | 
% 71.37/10.42  | ALPHA: (ax1) implies:
% 71.81/10.43  |   (1)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 71.81/10.43  |        ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ?
% 71.81/10.43  |        [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14: $i] :
% 71.81/10.43  |         ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ? [v19:
% 71.81/10.43  |          $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i] :  ?
% 71.81/10.43  |        [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = v22 &
% 71.81/10.43  |          op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) =
% 71.81/10.43  |          v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2,
% 71.81/10.43  |            e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11
% 71.81/10.43  |          & op(e2, e0) = v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) =
% 71.81/10.43  |          v7 & op(e1, e1) = v6 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3)
% 71.81/10.43  |          = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24)
% 71.81/10.43  |          & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17)
% 71.81/10.43  |          & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10)
% 71.81/10.43  |          & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 71.81/10.43  |          $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 | v24 = e2 | v24 = e1
% 71.81/10.43  |            | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 = e1 | v23 =
% 71.81/10.43  |            e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) & (v21
% 71.81/10.43  |            = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20
% 71.81/10.43  |            = e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19
% 71.81/10.43  |            = e2 | v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18
% 71.81/10.43  |            = e1 | v18 = e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17
% 71.81/10.43  |            = e0) & (v16 = e4 | v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) &
% 71.81/10.43  |          (v15 = e4 | v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v14 = e4 |
% 71.81/10.43  |            v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e4 | v13 = e3 |
% 71.81/10.43  |            v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e4 | v12 = e3 | v12 = e2 |
% 71.81/10.43  |            v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 | v11 = e2 | v11 = e1 |
% 71.81/10.43  |            v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0)
% 71.81/10.43  |          & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e4 | v8 =
% 71.81/10.43  |            e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2 |
% 71.81/10.43  |            v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 =
% 71.81/10.43  |            e0) & (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4
% 71.81/10.43  |            | v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3
% 71.81/10.43  |            = e2 | v3 = e1 | v3 = e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1
% 71.81/10.43  |            | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) &
% 71.81/10.43  |          (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 71.81/10.43  | 
% 71.81/10.43  | ALPHA: (ax3) implies:
% 71.81/10.44  |   (2)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 71.81/10.44  |        ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ?
% 71.81/10.44  |        [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14: $i] :
% 71.81/10.44  |         ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ? [v19:
% 71.81/10.44  |          $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i] :  ?
% 71.81/10.44  |        [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = v20 &
% 71.81/10.44  |          op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3, e3) =
% 71.81/10.44  |          v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7 & op(e2,
% 71.81/10.44  |            e4) = v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2, e1) = v13
% 71.81/10.44  |          & op(e2, e0) = v6 & op(e1, e4) = v12 & op(e1, e3) = v11 & op(e1, e2)
% 71.81/10.44  |          = v10 & op(e1, e1) = v9 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0,
% 71.81/10.44  |            e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 &
% 71.81/10.44  |          $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) &
% 71.81/10.44  |          $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) &
% 71.81/10.44  |          $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 71.81/10.44  |          $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v23 = e4 | v20 = e4 |
% 71.81/10.44  |            v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 | v18 = e4 | v12 = e4 |
% 71.81/10.44  |            v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 | v15 = e3 | v8 = e3) &
% 71.81/10.44  |          (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 | v4 = e3) & (v24 = e2 |
% 71.81/10.44  |            v23 = e2 | v20 = e2 | v15 = e2 | v8 = e2) & (v24 = e2 | v22 = e2 |
% 71.81/10.44  |            v18 = e2 | v12 = e2 | v4 = e2) & (v24 = e1 | v23 = e1 | v20 = e1 |
% 71.81/10.44  |            v15 = e1 | v8 = e1) & (v24 = e1 | v22 = e1 | v18 = e1 | v12 = e1 |
% 71.81/10.44  |            v4 = e1) & (v24 = e0 | v23 = e0 | v20 = e0 | v15 = e0 | v8 = e0) &
% 71.81/10.44  |          (v24 = e0 | v22 = e0 | v18 = e0 | v12 = e0 | v4 = e0) & (v23 = e4 |
% 71.81/10.44  |            v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) & (v23 = e3 | v21 = e3 |
% 71.81/10.44  |            v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 | v21 = e2 | v17 = e2 |
% 71.81/10.44  |            v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 | v17 = e1 | v11 = e1 |
% 71.81/10.44  |            v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 | v11 = e0 | v3 = e0) &
% 71.81/10.44  |          (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 | v7 = e4) & (v22 = e3 |
% 71.81/10.44  |            v21 = e3 | v19 = e3 | v14 = e3 | v7 = e3) & (v22 = e2 | v21 = e2 |
% 71.81/10.44  |            v19 = e2 | v14 = e2 | v7 = e2) & (v22 = e1 | v21 = e1 | v19 = e1 |
% 71.81/10.44  |            v14 = e1 | v7 = e1) & (v22 = e0 | v21 = e0 | v19 = e0 | v14 = e0 |
% 71.81/10.44  |            v7 = e0) & (v20 = e4 | v19 = e4 | v16 = e4 | v10 = e4 | v2 = e4) &
% 71.81/10.44  |          (v20 = e3 | v19 = e3 | v16 = e3 | v10 = e3 | v2 = e3) & (v20 = e2 |
% 71.81/10.44  |            v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) & (v20 = e1 | v19 = e1 |
% 71.81/10.44  |            v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 | v19 = e0 | v16 = e0 |
% 71.81/10.44  |            v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 | v16 = e4 | v13 = e4 |
% 71.81/10.44  |            v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 | v13 = e3 | v6 = e3) &
% 71.81/10.44  |          (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 | v6 = e2) & (v18 = e1 |
% 71.81/10.44  |            v17 = e1 | v16 = e1 | v13 = e1 | v6 = e1) & (v18 = e0 | v17 = e0 |
% 71.81/10.44  |            v16 = e0 | v13 = e0 | v6 = e0) & (v15 = e4 | v14 = e4 | v13 = e4 |
% 71.81/10.44  |            v9 = e4 | v1 = e4) & (v15 = e3 | v14 = e3 | v13 = e3 | v9 = e3 | v1
% 71.81/10.45  |            = e3) & (v15 = e2 | v14 = e2 | v13 = e2 | v9 = e2 | v1 = e2) & (v15
% 71.81/10.45  |            = e1 | v14 = e1 | v13 = e1 | v9 = e1 | v1 = e1) & (v15 = e0 | v14 =
% 71.81/10.45  |            e0 | v13 = e0 | v9 = e0 | v1 = e0) & (v12 = e4 | v11 = e4 | v10 =
% 71.81/10.45  |            e4 | v9 = e4 | v5 = e4) & (v12 = e3 | v11 = e3 | v10 = e3 | v9 = e3
% 71.81/10.45  |            | v5 = e3) & (v12 = e2 | v11 = e2 | v10 = e2 | v9 = e2 | v5 = e2) &
% 71.81/10.45  |          (v12 = e1 | v11 = e1 | v10 = e1 | v9 = e1 | v5 = e1) & (v12 = e0 |
% 71.81/10.45  |            v11 = e0 | v10 = e0 | v9 = e0 | v5 = e0) & (v8 = e4 | v7 = e4 | v6
% 71.81/10.45  |            = e4 | v5 = e4 | v0 = e4) & (v8 = e3 | v7 = e3 | v6 = e3 | v5 = e3
% 71.81/10.45  |            | v0 = e3) & (v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2 | v0 = e2) &
% 71.81/10.45  |          (v8 = e1 | v7 = e1 | v6 = e1 | v5 = e1 | v0 = e1) & (v4 = e4 | v3 =
% 71.81/10.45  |            e4 | v2 = e4 | v1 = e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3 |
% 71.81/10.45  |            v1 = e3 | v0 = e3) & (v4 = e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 =
% 71.81/10.45  |            e2) & (v4 = e1 | v3 = e1 | v2 = e1 | v1 = e1 | v0 = e1) & (v0 = e0
% 71.81/10.45  |            | ((v8 = e0 | v7 = e0 | v6 = e0 | v5 = e0) & (v4 = e0 | v3 = e0 |
% 71.81/10.45  |                v2 = e0 | v1 = e0))))
% 71.81/10.45  | 
% 71.81/10.45  | ALPHA: (ax4) implies:
% 71.81/10.45  |   (3)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 71.81/10.45  |        ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ?
% 71.81/10.45  |        [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14: $i] :
% 71.81/10.45  |         ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ? [v19:
% 71.81/10.45  |          $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i] :  ?
% 71.81/10.45  |        [v24: $i] : ( ~ (v24 = v23) &  ~ (v24 = v22) &  ~ (v24 = v21) &  ~ (v24
% 71.81/10.45  |            = v20) &  ~ (v24 = v19) &  ~ (v24 = v14) &  ~ (v24 = v9) &  ~ (v24
% 71.81/10.45  |            = v4) &  ~ (v23 = v22) &  ~ (v23 = v21) &  ~ (v23 = v20) &  ~ (v23
% 71.81/10.45  |            = v18) &  ~ (v23 = v13) &  ~ (v23 = v8) &  ~ (v23 = v3) &  ~ (v22 =
% 71.81/10.45  |            v21) &  ~ (v22 = v20) &  ~ (v22 = v17) &  ~ (v22 = v12) &  ~ (v22 =
% 71.81/10.45  |            v7) &  ~ (v22 = v2) &  ~ (v21 = v20) &  ~ (v21 = v16) &  ~ (v21 =
% 71.81/10.45  |            v11) &  ~ (v21 = v6) &  ~ (v21 = v1) &  ~ (v20 = v15) &  ~ (v20 =
% 71.81/10.45  |            v10) &  ~ (v20 = v5) &  ~ (v20 = v0) &  ~ (v19 = v18) &  ~ (v19 =
% 71.81/10.45  |            v17) &  ~ (v19 = v16) &  ~ (v19 = v15) &  ~ (v19 = v14) &  ~ (v19 =
% 71.81/10.45  |            v9) &  ~ (v19 = v4) &  ~ (v18 = v17) &  ~ (v18 = v16) &  ~ (v18 =
% 71.81/10.45  |            v15) &  ~ (v18 = v13) &  ~ (v18 = v8) &  ~ (v18 = v3) &  ~ (v17 =
% 71.81/10.45  |            v16) &  ~ (v17 = v15) &  ~ (v17 = v12) &  ~ (v17 = v7) &  ~ (v17 =
% 71.81/10.45  |            v2) &  ~ (v16 = v15) &  ~ (v16 = v11) &  ~ (v16 = v6) &  ~ (v16 =
% 71.81/10.45  |            v1) &  ~ (v15 = v10) &  ~ (v15 = v5) &  ~ (v15 = v0) &  ~ (v14 =
% 71.81/10.45  |            v13) &  ~ (v14 = v12) &  ~ (v14 = v11) &  ~ (v14 = v10) &  ~ (v14 =
% 71.81/10.45  |            v9) &  ~ (v14 = v4) &  ~ (v13 = v12) &  ~ (v13 = v11) &  ~ (v13 =
% 71.81/10.45  |            v10) &  ~ (v13 = v8) &  ~ (v13 = v3) &  ~ (v12 = v11) &  ~ (v12 =
% 71.81/10.45  |            v10) &  ~ (v12 = v7) &  ~ (v12 = v2) &  ~ (v11 = v10) &  ~ (v11 =
% 71.81/10.45  |            v6) &  ~ (v11 = v1) &  ~ (v10 = v5) &  ~ (v10 = v0) &  ~ (v9 = v8)
% 71.81/10.45  |          &  ~ (v9 = v7) &  ~ (v9 = v6) &  ~ (v9 = v5) &  ~ (v9 = v4) &  ~ (v8
% 71.81/10.45  |            = v7) &  ~ (v8 = v6) &  ~ (v8 = v5) &  ~ (v8 = v3) &  ~ (v7 = v6) &
% 71.81/10.45  |           ~ (v7 = v5) &  ~ (v7 = v2) &  ~ (v6 = v5) &  ~ (v6 = v1) &  ~ (v5 =
% 71.81/10.45  |            v0) &  ~ (v4 = v3) &  ~ (v4 = v2) &  ~ (v4 = v1) &  ~ (v4 = v0) & 
% 71.81/10.45  |          ~ (v3 = v2) &  ~ (v3 = v1) &  ~ (v3 = v0) &  ~ (v2 = v1) &  ~ (v2 =
% 71.81/10.45  |            v0) &  ~ (v1 = v0) & op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4,
% 71.81/10.45  |            e2) = v14 & op(e4, e1) = v9 & op(e4, e0) = v4 & op(e3, e4) = v23 &
% 71.81/10.45  |          op(e3, e3) = v18 & op(e3, e2) = v13 & op(e3, e1) = v8 & op(e3, e0) =
% 71.81/10.45  |          v3 & op(e2, e4) = v22 & op(e2, e3) = v17 & op(e2, e2) = v12 & op(e2,
% 71.81/10.45  |            e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 & op(e1, e3) = v16 &
% 71.81/10.45  |          op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 & op(e0, e4) =
% 71.81/10.45  |          v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) = v5 & op(e0,
% 71.81/10.45  |            e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 71.81/10.45  |          $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 71.81/10.45  |          $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 71.81/10.45  |          $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 71.81/10.45  | 
% 71.81/10.45  | ALPHA: (ax5) implies:
% 71.81/10.45  |   (4)   ~ (e1 = e0)
% 71.81/10.45  |   (5)   ~ (e2 = e0)
% 71.81/10.45  |   (6)   ~ (e2 = e1)
% 71.81/10.45  |   (7)   ~ (e3 = e1)
% 71.81/10.45  |   (8)   ~ (e3 = e2)
% 71.81/10.45  |   (9)   ~ (e4 = e1)
% 71.81/10.45  |   (10)   ~ (e4 = e2)
% 71.81/10.45  |   (11)   ~ (e4 = e3)
% 71.81/10.45  | 
% 71.81/10.45  | ALPHA: (ax6) implies:
% 71.81/10.46  |   (12)  op(e1, e1) = e4
% 71.81/10.46  |   (13)  op(e1, e2) = e0
% 71.81/10.46  |   (14)  op(e2, e2) = e3
% 71.81/10.46  |   (15)  op(e4, e4) = e2
% 71.81/10.46  | 
% 71.81/10.46  | ALPHA: (co1) implies:
% 71.81/10.47  |   (16)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 71.81/10.47  |         ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] : 
% 71.81/10.47  |         ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 71.81/10.47  |           $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ?
% 71.81/10.47  |         [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i]
% 71.81/10.47  |         :  ? [v24: $i] :  ? [v25: $i] :  ? [v26: $i] :  ? [v27: $i] :  ? [v28:
% 71.81/10.47  |           $i] :  ? [v29: $i] :  ? [v30: $i] :  ? [v31: $i] :  ? [v32: $i] :  ?
% 71.81/10.47  |         [v33: $i] :  ? [v34: $i] :  ? [v35: $i] :  ? [v36: $i] :  ? [v37: $i]
% 71.81/10.47  |         :  ? [v38: $i] :  ? [v39: $i] :  ? [v40: $i] :  ? [v41: $i] :  ? [v42:
% 71.81/10.47  |           $i] :  ? [v43: $i] :  ? [v44: $i] :  ? [v45: $i] :  ? [v46: $i] :  ?
% 71.81/10.47  |         [v47: $i] :  ? [v48: $i] :  ? [v49: $i] :  ? [v50: $i] :  ? [v51: $i]
% 71.81/10.47  |         :  ? [v52: $i] :  ? [v53: $i] :  ? [v54: $i] :  ? [v55: $i] :  ? [v56:
% 71.81/10.47  |           $i] :  ? [v57: $i] :  ? [v58: $i] :  ? [v59: $i] :  ? [v60: $i] :  ?
% 71.81/10.47  |         [v61: $i] :  ? [v62: $i] :  ? [v63: $i] :  ? [v64: $i] :  ? [v65: $i]
% 71.81/10.47  |         :  ? [v66: $i] :  ? [v67: $i] :  ? [v68: $i] :  ? [v69: $i] : (op(e4,
% 71.81/10.47  |             v66) = v68 & op(e4, v63) = v65 & op(e4, v60) = v62 & op(e4, v57) =
% 71.81/10.47  |           v59 & op(e4, v54) = v55 & op(e4, v41) = v42 & op(e4, v28) = v29 &
% 71.81/10.47  |           op(e4, v15) = v16 & op(e4, v4) = v69 & op(e4, e4) = v4 & op(e4, e3)
% 71.81/10.47  |           = v54 & op(e4, e2) = v41 & op(e4, e1) = v28 & op(e4, e0) = v15 &
% 71.81/10.47  |           op(e3, v66) = v67 & op(e3, v54) = v56 & op(e3, v50) = v52 & op(e3,
% 71.81/10.47  |             v47) = v49 & op(e3, v44) = v46 & op(e3, v38) = v39 & op(e3, v25) =
% 71.81/10.47  |           v26 & op(e3, v12) = v13 & op(e3, v3) = v53 & op(e3, e4) = v66 &
% 71.81/10.47  |           op(e3, e3) = v3 & op(e3, e2) = v38 & op(e3, e1) = v25 & op(e3, e0) =
% 71.81/10.47  |           v12 & op(e2, v63) = v64 & op(e2, v50) = v51 & op(e2, v41) = v43 &
% 71.81/10.47  |           op(e2, v38) = v40 & op(e2, v34) = v36 & op(e2, v31) = v33 & op(e2,
% 71.81/10.47  |             v22) = v23 & op(e2, v9) = v10 & op(e2, v2) = v37 & op(e2, e4) =
% 71.81/10.47  |           v63 & op(e2, e3) = v50 & op(e2, e2) = v2 & op(e2, e1) = v22 & op(e2,
% 71.81/10.47  |             e0) = v9 & op(e1, v60) = v61 & op(e1, v47) = v48 & op(e1, v34) =
% 71.81/10.47  |           v35 & op(e1, v28) = v30 & op(e1, v25) = v27 & op(e1, v22) = v24 &
% 71.81/10.47  |           op(e1, v18) = v20 & op(e1, v6) = v7 & op(e1, v1) = v21 & op(e1, e4)
% 71.81/10.47  |           = v60 & op(e1, e3) = v47 & op(e1, e2) = v34 & op(e1, e1) = v1 &
% 71.81/10.47  |           op(e1, e0) = v6 & op(e0, v57) = v58 & op(e0, v44) = v45 & op(e0,
% 71.81/10.47  |             v31) = v32 & op(e0, v18) = v19 & op(e0, v15) = v17 & op(e0, v12) =
% 71.81/10.47  |           v14 & op(e0, v9) = v11 & op(e0, v6) = v8 & op(e0, v0) = v5 & op(e0,
% 71.81/10.47  |             e4) = v57 & op(e0, e3) = v44 & op(e0, e2) = v31 & op(e0, e1) = v18
% 71.81/10.47  |           & op(e0, e0) = v0 & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65)
% 71.81/10.47  |           & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) &
% 71.81/10.47  |           $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52)
% 71.81/10.47  |           & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46) &
% 71.81/10.47  |           $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39)
% 71.81/10.47  |           & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) & $i(v33) &
% 71.81/10.47  |           $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26)
% 71.81/10.47  |           & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 71.81/10.47  |           $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13)
% 71.81/10.47  |           & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 71.81/10.47  |           $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v4 = e4 | v3
% 71.81/10.47  |             = e4 | v2 = e4 | v1 = e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3
% 71.81/10.47  |             | v1 = e3 | v0 = e3) & (v4 = e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0
% 71.81/10.47  |             = e2) & (v4 = e1 | v3 = e1 | v2 = e1 | v1 = e1 | v0 = e1) & (v4 =
% 71.81/10.47  |             e0 | v3 = e0 | v2 = e0 | v1 = e0 | v0 = e0) & ((v68 = e3 &  ~ (v67
% 71.81/10.47  |                 = e4)) | (v65 = e2 &  ~ (v64 = e4)) | (v62 = e1 &  ~ (v61 =
% 71.81/10.47  |                 e4)) | (v59 = e0 &  ~ (v58 = e4))) & ((v56 = e4 &  ~ (v55 =
% 71.81/10.47  |                 e3)) | (v52 = e2 &  ~ (v51 = e3)) | (v49 = e1 &  ~ (v48 = e3))
% 71.81/10.47  |             | (v46 = e0 &  ~ (v45 = e3))) & ((v43 = e4 &  ~ (v42 = e2)) | (v40
% 71.81/10.47  |               = e3 &  ~ (v39 = e2)) | (v36 = e1 &  ~ (v35 = e2)) | (v33 = e0 &
% 71.81/10.47  |                ~ (v32 = e2))) & ((v30 = e4 &  ~ (v29 = e1)) | (v27 = e3 &  ~
% 71.81/10.47  |               (v26 = e1)) | (v24 = e2 &  ~ (v23 = e1)) | (v20 = e0 &  ~ (v19 =
% 71.81/10.47  |                 e1))) & ((v17 = e4 &  ~ (v16 = e0)) | (v14 = e3 &  ~ (v13 =
% 71.81/10.47  |                 e0)) | (v11 = e2 &  ~ (v10 = e0)) | (v8 = e1 &  ~ (v7 = e0))))
% 71.81/10.47  | 
% 71.81/10.47  | DELTA: instantiating (3) with fresh symbols all_4_0, all_4_1, all_4_2,
% 71.81/10.47  |        all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9,
% 71.81/10.47  |        all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16,
% 71.81/10.47  |        all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23,
% 71.81/10.47  |        all_4_24 gives:
% 71.81/10.47  |   (17)   ~ (all_4_0 = all_4_1) &  ~ (all_4_0 = all_4_2) &  ~ (all_4_0 =
% 71.81/10.47  |           all_4_3) &  ~ (all_4_0 = all_4_4) &  ~ (all_4_0 = all_4_5) &  ~
% 71.81/10.47  |         (all_4_0 = all_4_10) &  ~ (all_4_0 = all_4_15) &  ~ (all_4_0 =
% 71.81/10.47  |           all_4_20) &  ~ (all_4_1 = all_4_2) &  ~ (all_4_1 = all_4_3) &  ~
% 71.81/10.47  |         (all_4_1 = all_4_4) &  ~ (all_4_1 = all_4_6) &  ~ (all_4_1 = all_4_11)
% 71.81/10.47  |         &  ~ (all_4_1 = all_4_16) &  ~ (all_4_1 = all_4_21) &  ~ (all_4_2 =
% 71.81/10.47  |           all_4_3) &  ~ (all_4_2 = all_4_4) &  ~ (all_4_2 = all_4_7) &  ~
% 71.81/10.47  |         (all_4_2 = all_4_12) &  ~ (all_4_2 = all_4_17) &  ~ (all_4_2 =
% 71.81/10.47  |           all_4_22) &  ~ (all_4_3 = all_4_4) &  ~ (all_4_3 = all_4_8) &  ~
% 71.81/10.47  |         (all_4_3 = all_4_13) &  ~ (all_4_3 = all_4_18) &  ~ (all_4_3 =
% 71.81/10.47  |           all_4_23) &  ~ (all_4_4 = all_4_9) &  ~ (all_4_4 = all_4_14) &  ~
% 71.81/10.47  |         (all_4_4 = all_4_19) &  ~ (all_4_4 = all_4_24) &  ~ (all_4_5 =
% 71.81/10.47  |           all_4_6) &  ~ (all_4_5 = all_4_7) &  ~ (all_4_5 = all_4_8) &  ~
% 71.81/10.47  |         (all_4_5 = all_4_9) &  ~ (all_4_5 = all_4_10) &  ~ (all_4_5 =
% 71.81/10.47  |           all_4_15) &  ~ (all_4_5 = all_4_20) &  ~ (all_4_6 = all_4_7) &  ~
% 71.81/10.47  |         (all_4_6 = all_4_8) &  ~ (all_4_6 = all_4_9) &  ~ (all_4_6 = all_4_11)
% 71.81/10.47  |         &  ~ (all_4_6 = all_4_16) &  ~ (all_4_6 = all_4_21) &  ~ (all_4_7 =
% 71.81/10.47  |           all_4_8) &  ~ (all_4_7 = all_4_9) &  ~ (all_4_7 = all_4_12) &  ~
% 71.81/10.47  |         (all_4_7 = all_4_17) &  ~ (all_4_7 = all_4_22) &  ~ (all_4_8 =
% 71.81/10.47  |           all_4_9) &  ~ (all_4_8 = all_4_13) &  ~ (all_4_8 = all_4_18) &  ~
% 71.81/10.47  |         (all_4_8 = all_4_23) &  ~ (all_4_9 = all_4_14) &  ~ (all_4_9 =
% 71.81/10.47  |           all_4_19) &  ~ (all_4_9 = all_4_24) &  ~ (all_4_10 = all_4_11) &  ~
% 71.81/10.47  |         (all_4_10 = all_4_12) &  ~ (all_4_10 = all_4_13) &  ~ (all_4_10 =
% 71.81/10.47  |           all_4_14) &  ~ (all_4_10 = all_4_15) &  ~ (all_4_10 = all_4_20) &  ~
% 71.81/10.47  |         (all_4_11 = all_4_12) &  ~ (all_4_11 = all_4_13) &  ~ (all_4_11 =
% 71.81/10.47  |           all_4_14) &  ~ (all_4_11 = all_4_16) &  ~ (all_4_11 = all_4_21) &  ~
% 71.81/10.47  |         (all_4_12 = all_4_13) &  ~ (all_4_12 = all_4_14) &  ~ (all_4_12 =
% 71.81/10.47  |           all_4_17) &  ~ (all_4_12 = all_4_22) &  ~ (all_4_13 = all_4_14) &  ~
% 71.81/10.47  |         (all_4_13 = all_4_18) &  ~ (all_4_13 = all_4_23) &  ~ (all_4_14 =
% 71.81/10.47  |           all_4_19) &  ~ (all_4_14 = all_4_24) &  ~ (all_4_15 = all_4_16) &  ~
% 71.81/10.47  |         (all_4_15 = all_4_17) &  ~ (all_4_15 = all_4_18) &  ~ (all_4_15 =
% 71.81/10.47  |           all_4_19) &  ~ (all_4_15 = all_4_20) &  ~ (all_4_16 = all_4_17) &  ~
% 71.81/10.47  |         (all_4_16 = all_4_18) &  ~ (all_4_16 = all_4_19) &  ~ (all_4_16 =
% 71.81/10.47  |           all_4_21) &  ~ (all_4_17 = all_4_18) &  ~ (all_4_17 = all_4_19) &  ~
% 71.81/10.47  |         (all_4_17 = all_4_22) &  ~ (all_4_18 = all_4_19) &  ~ (all_4_18 =
% 71.81/10.47  |           all_4_23) &  ~ (all_4_19 = all_4_24) &  ~ (all_4_20 = all_4_21) &  ~
% 71.81/10.47  |         (all_4_20 = all_4_22) &  ~ (all_4_20 = all_4_23) &  ~ (all_4_20 =
% 71.81/10.47  |           all_4_24) &  ~ (all_4_21 = all_4_22) &  ~ (all_4_21 = all_4_23) &  ~
% 71.81/10.47  |         (all_4_21 = all_4_24) &  ~ (all_4_22 = all_4_23) &  ~ (all_4_22 =
% 71.81/10.47  |           all_4_24) &  ~ (all_4_23 = all_4_24) & op(e4, e4) = all_4_0 & op(e4,
% 71.81/10.47  |           e3) = all_4_5 & op(e4, e2) = all_4_10 & op(e4, e1) = all_4_15 &
% 71.81/10.47  |         op(e4, e0) = all_4_20 & op(e3, e4) = all_4_1 & op(e3, e3) = all_4_6 &
% 71.81/10.47  |         op(e3, e2) = all_4_11 & op(e3, e1) = all_4_16 & op(e3, e0) = all_4_21
% 71.81/10.47  |         & op(e2, e4) = all_4_2 & op(e2, e3) = all_4_7 & op(e2, e2) = all_4_12
% 71.81/10.47  |         & op(e2, e1) = all_4_17 & op(e2, e0) = all_4_22 & op(e1, e4) = all_4_3
% 71.81/10.47  |         & op(e1, e3) = all_4_8 & op(e1, e2) = all_4_13 & op(e1, e1) = all_4_18
% 71.81/10.47  |         & op(e1, e0) = all_4_23 & op(e0, e4) = all_4_4 & op(e0, e3) = all_4_9
% 71.81/10.47  |         & op(e0, e2) = all_4_14 & op(e0, e1) = all_4_19 & op(e0, e0) =
% 71.81/10.47  |         all_4_24 & $i(all_4_0) & $i(all_4_1) & $i(all_4_2) & $i(all_4_3) &
% 71.81/10.47  |         $i(all_4_4) & $i(all_4_5) & $i(all_4_6) & $i(all_4_7) & $i(all_4_8) &
% 71.81/10.47  |         $i(all_4_9) & $i(all_4_10) & $i(all_4_11) & $i(all_4_12) &
% 71.81/10.47  |         $i(all_4_13) & $i(all_4_14) & $i(all_4_15) & $i(all_4_16) &
% 71.81/10.47  |         $i(all_4_17) & $i(all_4_18) & $i(all_4_19) & $i(all_4_20) &
% 71.81/10.47  |         $i(all_4_21) & $i(all_4_22) & $i(all_4_23) & $i(all_4_24)
% 71.81/10.47  | 
% 71.81/10.47  | ALPHA: (17) implies:
% 71.81/10.48  |   (18)   ~ (all_4_23 = all_4_24)
% 71.81/10.48  |   (19)   ~ (all_4_22 = all_4_24)
% 71.81/10.48  |   (20)   ~ (all_4_22 = all_4_23)
% 71.81/10.48  |   (21)   ~ (all_4_21 = all_4_24)
% 71.81/10.48  |   (22)   ~ (all_4_21 = all_4_23)
% 71.81/10.48  |   (23)   ~ (all_4_21 = all_4_22)
% 71.81/10.48  |   (24)   ~ (all_4_20 = all_4_24)
% 71.81/10.48  |   (25)   ~ (all_4_20 = all_4_23)
% 71.81/10.48  |   (26)   ~ (all_4_20 = all_4_22)
% 71.81/10.48  |   (27)   ~ (all_4_20 = all_4_21)
% 71.81/10.48  |   (28)   ~ (all_4_19 = all_4_24)
% 71.81/10.48  |   (29)   ~ (all_4_18 = all_4_23)
% 71.81/10.48  |   (30)   ~ (all_4_18 = all_4_19)
% 71.81/10.48  |   (31)   ~ (all_4_17 = all_4_22)
% 71.81/10.48  |   (32)   ~ (all_4_17 = all_4_19)
% 71.81/10.48  |   (33)   ~ (all_4_17 = all_4_18)
% 71.81/10.48  |   (34)   ~ (all_4_16 = all_4_21)
% 71.81/10.48  |   (35)   ~ (all_4_16 = all_4_19)
% 71.81/10.48  |   (36)   ~ (all_4_16 = all_4_18)
% 71.81/10.48  |   (37)   ~ (all_4_16 = all_4_17)
% 71.81/10.48  |   (38)   ~ (all_4_15 = all_4_20)
% 71.81/10.48  |   (39)   ~ (all_4_15 = all_4_19)
% 71.81/10.48  |   (40)   ~ (all_4_15 = all_4_18)
% 71.81/10.48  |   (41)   ~ (all_4_15 = all_4_17)
% 71.81/10.48  |   (42)   ~ (all_4_14 = all_4_24)
% 71.81/10.48  |   (43)   ~ (all_4_14 = all_4_19)
% 71.81/10.48  |   (44)   ~ (all_4_13 = all_4_23)
% 71.81/10.48  |   (45)   ~ (all_4_13 = all_4_18)
% 71.81/10.48  |   (46)   ~ (all_4_13 = all_4_14)
% 71.81/10.48  |   (47)   ~ (all_4_12 = all_4_22)
% 71.81/10.48  |   (48)   ~ (all_4_12 = all_4_17)
% 71.81/10.48  |   (49)   ~ (all_4_12 = all_4_14)
% 71.81/10.48  |   (50)   ~ (all_4_12 = all_4_13)
% 71.81/10.48  |   (51)   ~ (all_4_11 = all_4_21)
% 71.81/10.48  |   (52)   ~ (all_4_11 = all_4_16)
% 71.81/10.48  |   (53)   ~ (all_4_11 = all_4_14)
% 71.81/10.48  |   (54)   ~ (all_4_11 = all_4_13)
% 71.81/10.48  |   (55)   ~ (all_4_11 = all_4_12)
% 71.81/10.48  |   (56)   ~ (all_4_10 = all_4_20)
% 71.81/10.48  |   (57)   ~ (all_4_10 = all_4_15)
% 71.81/10.48  |   (58)   ~ (all_4_10 = all_4_14)
% 71.81/10.48  |   (59)   ~ (all_4_10 = all_4_13)
% 71.81/10.48  |   (60)   ~ (all_4_10 = all_4_12)
% 71.81/10.48  |   (61)   ~ (all_4_10 = all_4_11)
% 71.81/10.48  |   (62)   ~ (all_4_9 = all_4_24)
% 71.81/10.48  |   (63)   ~ (all_4_9 = all_4_19)
% 71.81/10.48  |   (64)   ~ (all_4_9 = all_4_14)
% 71.81/10.48  |   (65)   ~ (all_4_8 = all_4_23)
% 71.81/10.48  |   (66)   ~ (all_4_8 = all_4_18)
% 71.81/10.48  |   (67)   ~ (all_4_8 = all_4_13)
% 71.81/10.48  |   (68)   ~ (all_4_8 = all_4_9)
% 71.81/10.48  |   (69)   ~ (all_4_7 = all_4_22)
% 71.81/10.48  |   (70)   ~ (all_4_7 = all_4_17)
% 71.81/10.48  |   (71)   ~ (all_4_7 = all_4_12)
% 71.81/10.48  |   (72)   ~ (all_4_7 = all_4_9)
% 71.81/10.48  |   (73)   ~ (all_4_7 = all_4_8)
% 71.81/10.48  |   (74)   ~ (all_4_6 = all_4_21)
% 71.81/10.48  |   (75)   ~ (all_4_6 = all_4_16)
% 71.81/10.48  |   (76)   ~ (all_4_6 = all_4_11)
% 71.81/10.48  |   (77)   ~ (all_4_6 = all_4_9)
% 71.81/10.48  |   (78)   ~ (all_4_6 = all_4_8)
% 71.81/10.48  |   (79)   ~ (all_4_6 = all_4_7)
% 71.81/10.48  |   (80)   ~ (all_4_5 = all_4_20)
% 71.81/10.48  |   (81)   ~ (all_4_5 = all_4_15)
% 71.81/10.48  |   (82)   ~ (all_4_5 = all_4_10)
% 71.81/10.48  |   (83)   ~ (all_4_5 = all_4_9)
% 71.81/10.48  |   (84)   ~ (all_4_5 = all_4_8)
% 71.81/10.48  |   (85)   ~ (all_4_5 = all_4_7)
% 71.81/10.48  |   (86)   ~ (all_4_5 = all_4_6)
% 71.81/10.48  |   (87)   ~ (all_4_4 = all_4_24)
% 71.81/10.48  |   (88)   ~ (all_4_4 = all_4_19)
% 71.81/10.48  |   (89)   ~ (all_4_4 = all_4_14)
% 71.81/10.48  |   (90)   ~ (all_4_4 = all_4_9)
% 71.81/10.48  |   (91)   ~ (all_4_3 = all_4_23)
% 71.81/10.48  |   (92)   ~ (all_4_3 = all_4_18)
% 71.81/10.48  |   (93)   ~ (all_4_3 = all_4_13)
% 71.81/10.48  |   (94)   ~ (all_4_3 = all_4_8)
% 71.81/10.48  |   (95)   ~ (all_4_3 = all_4_4)
% 71.81/10.48  |   (96)   ~ (all_4_2 = all_4_22)
% 71.81/10.48  |   (97)   ~ (all_4_2 = all_4_17)
% 71.81/10.48  |   (98)   ~ (all_4_2 = all_4_12)
% 71.81/10.48  |   (99)   ~ (all_4_2 = all_4_7)
% 71.81/10.48  |   (100)   ~ (all_4_2 = all_4_4)
% 71.81/10.48  |   (101)   ~ (all_4_2 = all_4_3)
% 71.81/10.48  |   (102)   ~ (all_4_1 = all_4_21)
% 71.81/10.48  |   (103)   ~ (all_4_1 = all_4_16)
% 71.81/10.48  |   (104)   ~ (all_4_1 = all_4_11)
% 71.81/10.48  |   (105)   ~ (all_4_1 = all_4_6)
% 71.81/10.48  |   (106)   ~ (all_4_1 = all_4_4)
% 71.81/10.48  |   (107)   ~ (all_4_1 = all_4_3)
% 71.81/10.48  |   (108)   ~ (all_4_1 = all_4_2)
% 71.81/10.48  |   (109)   ~ (all_4_0 = all_4_20)
% 71.81/10.48  |   (110)   ~ (all_4_0 = all_4_15)
% 71.81/10.48  |   (111)   ~ (all_4_0 = all_4_10)
% 71.81/10.48  |   (112)   ~ (all_4_0 = all_4_5)
% 71.81/10.48  |   (113)   ~ (all_4_0 = all_4_4)
% 71.81/10.48  |   (114)   ~ (all_4_0 = all_4_3)
% 71.81/10.48  |   (115)   ~ (all_4_0 = all_4_2)
% 71.81/10.48  |   (116)   ~ (all_4_0 = all_4_1)
% 71.81/10.48  |   (117)  op(e0, e0) = all_4_24
% 71.81/10.48  |   (118)  op(e0, e1) = all_4_19
% 71.81/10.48  |   (119)  op(e0, e2) = all_4_14
% 71.81/10.48  |   (120)  op(e0, e3) = all_4_9
% 71.81/10.48  |   (121)  op(e0, e4) = all_4_4
% 71.81/10.49  |   (122)  op(e1, e0) = all_4_23
% 71.81/10.49  |   (123)  op(e1, e1) = all_4_18
% 71.81/10.49  |   (124)  op(e1, e2) = all_4_13
% 71.81/10.49  |   (125)  op(e1, e3) = all_4_8
% 71.81/10.49  |   (126)  op(e1, e4) = all_4_3
% 71.81/10.49  |   (127)  op(e2, e0) = all_4_22
% 71.81/10.49  |   (128)  op(e2, e1) = all_4_17
% 71.81/10.49  |   (129)  op(e2, e2) = all_4_12
% 71.81/10.49  |   (130)  op(e2, e3) = all_4_7
% 71.81/10.49  |   (131)  op(e2, e4) = all_4_2
% 71.81/10.49  |   (132)  op(e3, e0) = all_4_21
% 71.81/10.49  |   (133)  op(e3, e1) = all_4_16
% 71.81/10.49  |   (134)  op(e3, e2) = all_4_11
% 71.81/10.49  |   (135)  op(e3, e3) = all_4_6
% 71.81/10.49  |   (136)  op(e3, e4) = all_4_1
% 71.81/10.49  |   (137)  op(e4, e0) = all_4_20
% 71.81/10.49  |   (138)  op(e4, e1) = all_4_15
% 71.81/10.49  |   (139)  op(e4, e2) = all_4_10
% 71.81/10.49  |   (140)  op(e4, e3) = all_4_5
% 71.81/10.49  |   (141)  op(e4, e4) = all_4_0
% 71.81/10.49  | 
% 71.81/10.49  | DELTA: instantiating (1) with fresh symbols all_6_0, all_6_1, all_6_2,
% 71.81/10.49  |        all_6_3, all_6_4, all_6_5, all_6_6, all_6_7, all_6_8, all_6_9,
% 71.81/10.49  |        all_6_10, all_6_11, all_6_12, all_6_13, all_6_14, all_6_15, all_6_16,
% 71.81/10.49  |        all_6_17, all_6_18, all_6_19, all_6_20, all_6_21, all_6_22, all_6_23,
% 71.81/10.49  |        all_6_24 gives:
% 71.81/10.49  |   (142)  op(e4, e4) = all_6_0 & op(e4, e3) = all_6_1 & op(e4, e2) = all_6_2 &
% 71.81/10.49  |          op(e4, e1) = all_6_3 & op(e4, e0) = all_6_4 & op(e3, e4) = all_6_5 &
% 71.81/10.49  |          op(e3, e3) = all_6_6 & op(e3, e2) = all_6_7 & op(e3, e1) = all_6_8 &
% 71.81/10.49  |          op(e3, e0) = all_6_9 & op(e2, e4) = all_6_10 & op(e2, e3) = all_6_11
% 71.81/10.49  |          & op(e2, e2) = all_6_12 & op(e2, e1) = all_6_13 & op(e2, e0) =
% 71.81/10.49  |          all_6_14 & op(e1, e4) = all_6_15 & op(e1, e3) = all_6_16 & op(e1, e2)
% 71.81/10.49  |          = all_6_17 & op(e1, e1) = all_6_18 & op(e1, e0) = all_6_19 & op(e0,
% 71.81/10.49  |            e4) = all_6_20 & op(e0, e3) = all_6_21 & op(e0, e2) = all_6_22 &
% 71.81/10.49  |          op(e0, e1) = all_6_23 & op(e0, e0) = all_6_24 & $i(all_6_0) &
% 71.81/10.49  |          $i(all_6_1) & $i(all_6_2) & $i(all_6_3) & $i(all_6_4) & $i(all_6_5) &
% 71.81/10.49  |          $i(all_6_6) & $i(all_6_7) & $i(all_6_8) & $i(all_6_9) & $i(all_6_10)
% 71.81/10.49  |          & $i(all_6_11) & $i(all_6_12) & $i(all_6_13) & $i(all_6_14) &
% 71.81/10.49  |          $i(all_6_15) & $i(all_6_16) & $i(all_6_17) & $i(all_6_18) &
% 71.81/10.49  |          $i(all_6_19) & $i(all_6_20) & $i(all_6_21) & $i(all_6_22) &
% 71.81/10.49  |          $i(all_6_23) & $i(all_6_24) & (all_6_0 = e4 | all_6_0 = e3 | all_6_0
% 71.81/10.49  |            = e2 | all_6_0 = e1 | all_6_0 = e0) & (all_6_1 = e4 | all_6_1 = e3
% 71.81/10.49  |            | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0) & (all_6_2 = e4 |
% 71.81/10.49  |            all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0) &
% 71.81/10.49  |          (all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3
% 71.81/10.49  |            = e0) & (all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1
% 71.81/10.49  |            | all_6_4 = e0) & (all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 71.81/10.49  |            all_6_5 = e1 | all_6_5 = e0) & (all_6_6 = e4 | all_6_6 = e3 |
% 71.81/10.49  |            all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0) & (all_6_7 = e4 |
% 71.81/10.49  |            all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0) &
% 71.81/10.49  |          (all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8
% 71.81/10.49  |            = e0) & (all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1
% 71.81/10.49  |            | all_6_9 = e0) & (all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 |
% 71.81/10.49  |            all_6_10 = e1 | all_6_10 = e0) & (all_6_11 = e4 | all_6_11 = e3 |
% 71.81/10.49  |            all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0) & (all_6_12 = e4 |
% 71.81/10.49  |            all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1 | all_6_12 = e0) &
% 71.81/10.49  |          (all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 |
% 71.81/10.49  |            all_6_13 = e0) & (all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 |
% 71.81/10.49  |            all_6_14 = e1 | all_6_14 = e0) & (all_6_15 = e4 | all_6_15 = e3 |
% 71.81/10.49  |            all_6_15 = e2 | all_6_15 = e1 | all_6_15 = e0) & (all_6_16 = e4 |
% 71.81/10.49  |            all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | all_6_16 = e0) &
% 71.81/10.49  |          (all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 |
% 71.81/10.49  |            all_6_17 = e0) & (all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 |
% 71.81/10.49  |            all_6_18 = e1 | all_6_18 = e0) & (all_6_19 = e4 | all_6_19 = e3 |
% 71.81/10.49  |            all_6_19 = e2 | all_6_19 = e1 | all_6_19 = e0) & (all_6_20 = e4 |
% 71.81/10.49  |            all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20 = e0) &
% 71.81/10.49  |          (all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 |
% 71.81/10.49  |            all_6_21 = e0) & (all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 |
% 71.81/10.49  |            all_6_22 = e1 | all_6_22 = e0) & (all_6_23 = e4 | all_6_23 = e3 |
% 71.81/10.49  |            all_6_23 = e2 | all_6_23 = e1 | all_6_23 = e0) & (all_6_24 = e4 |
% 71.81/10.49  |            all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 | all_6_24 = e0)
% 71.81/10.49  | 
% 71.81/10.49  | ALPHA: (142) implies:
% 71.81/10.49  |   (143)  op(e0, e0) = all_6_24
% 71.81/10.49  |   (144)  op(e0, e1) = all_6_23
% 71.81/10.49  |   (145)  op(e0, e2) = all_6_22
% 71.81/10.49  |   (146)  op(e0, e3) = all_6_21
% 71.81/10.49  |   (147)  op(e0, e4) = all_6_20
% 71.81/10.49  |   (148)  op(e1, e0) = all_6_19
% 71.81/10.49  |   (149)  op(e1, e1) = all_6_18
% 71.81/10.49  |   (150)  op(e1, e2) = all_6_17
% 71.81/10.49  |   (151)  op(e1, e3) = all_6_16
% 71.81/10.49  |   (152)  op(e1, e4) = all_6_15
% 71.81/10.49  |   (153)  op(e2, e0) = all_6_14
% 71.81/10.49  |   (154)  op(e2, e1) = all_6_13
% 71.81/10.49  |   (155)  op(e2, e2) = all_6_12
% 71.81/10.49  |   (156)  op(e2, e3) = all_6_11
% 71.81/10.49  |   (157)  op(e2, e4) = all_6_10
% 71.81/10.50  |   (158)  op(e3, e0) = all_6_9
% 71.81/10.50  |   (159)  op(e3, e1) = all_6_8
% 71.81/10.50  |   (160)  op(e3, e2) = all_6_7
% 71.81/10.50  |   (161)  op(e3, e3) = all_6_6
% 71.81/10.50  |   (162)  op(e3, e4) = all_6_5
% 71.81/10.50  |   (163)  op(e4, e0) = all_6_4
% 71.81/10.50  |   (164)  op(e4, e1) = all_6_3
% 71.81/10.50  |   (165)  op(e4, e2) = all_6_2
% 71.81/10.50  |   (166)  op(e4, e3) = all_6_1
% 71.81/10.50  |   (167)  op(e4, e4) = all_6_0
% 71.81/10.50  |   (168)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e1 |
% 71.81/10.50  |          all_6_22 = e0
% 71.81/10.50  |   (169)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 |
% 71.81/10.50  |          all_6_21 = e0
% 71.81/10.50  |   (170)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 |
% 71.81/10.50  |          all_6_20 = e0
% 71.81/10.50  |   (171)  all_6_19 = e4 | all_6_19 = e3 | all_6_19 = e2 | all_6_19 = e1 |
% 71.81/10.50  |          all_6_19 = e0
% 71.81/10.50  |   (172)  all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 |
% 71.81/10.50  |          all_6_16 = e0
% 71.81/10.50  |   (173)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1 |
% 71.81/10.50  |          all_6_15 = e0
% 71.81/10.50  |   (174)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 | all_6_14 = e1 |
% 71.81/10.50  |          all_6_14 = e0
% 71.81/10.50  |   (175)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 |
% 71.81/10.50  |          all_6_13 = e0
% 71.81/10.50  |   (176)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 |
% 71.81/10.50  |          all_6_11 = e0
% 71.81/10.50  |   (177)  all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1 |
% 71.81/10.50  |          all_6_10 = e0
% 71.81/10.50  |   (178)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 | all_6_9 =
% 71.81/10.50  |          e0
% 71.81/10.50  |   (179)  all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 =
% 71.81/10.50  |          e0
% 71.81/10.50  |   (180)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1 | all_6_5 =
% 71.81/10.50  |          e0
% 71.81/10.50  |   (181)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1 | all_6_4 =
% 71.81/10.50  |          e0
% 71.81/10.50  |   (182)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 =
% 71.81/10.50  |          e0
% 71.81/10.50  |   (183)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 =
% 71.81/10.50  |          e0
% 71.81/10.50  |   (184)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 =
% 71.81/10.50  |          e0
% 71.81/10.50  | 
% 71.81/10.50  | DELTA: instantiating (16) with fresh symbols all_8_0, all_8_1, all_8_2,
% 71.81/10.50  |        all_8_3, all_8_4, all_8_5, all_8_6, all_8_7, all_8_8, all_8_9,
% 71.81/10.50  |        all_8_10, all_8_11, all_8_12, all_8_13, all_8_14, all_8_15, all_8_16,
% 71.81/10.50  |        all_8_17, all_8_18, all_8_19, all_8_20, all_8_21, all_8_22, all_8_23,
% 71.81/10.50  |        all_8_24, all_8_25, all_8_26, all_8_27, all_8_28, all_8_29, all_8_30,
% 71.81/10.50  |        all_8_31, all_8_32, all_8_33, all_8_34, all_8_35, all_8_36, all_8_37,
% 71.81/10.50  |        all_8_38, all_8_39, all_8_40, all_8_41, all_8_42, all_8_43, all_8_44,
% 71.81/10.50  |        all_8_45, all_8_46, all_8_47, all_8_48, all_8_49, all_8_50, all_8_51,
% 71.81/10.50  |        all_8_52, all_8_53, all_8_54, all_8_55, all_8_56, all_8_57, all_8_58,
% 71.81/10.50  |        all_8_59, all_8_60, all_8_61, all_8_62, all_8_63, all_8_64, all_8_65,
% 71.81/10.50  |        all_8_66, all_8_67, all_8_68, all_8_69 gives:
% 71.81/10.51  |   (185)  op(e4, all_8_3) = all_8_1 & op(e4, all_8_6) = all_8_4 & op(e4,
% 71.81/10.51  |            all_8_9) = all_8_7 & op(e4, all_8_12) = all_8_10 & op(e4, all_8_15)
% 71.81/10.51  |          = all_8_14 & op(e4, all_8_28) = all_8_27 & op(e4, all_8_41) =
% 71.81/10.51  |          all_8_40 & op(e4, all_8_54) = all_8_53 & op(e4, all_8_65) = all_8_0 &
% 71.81/10.51  |          op(e4, e4) = all_8_65 & op(e4, e3) = all_8_15 & op(e4, e2) = all_8_28
% 71.81/10.51  |          & op(e4, e1) = all_8_41 & op(e4, e0) = all_8_54 & op(e3, all_8_3) =
% 71.81/10.51  |          all_8_2 & op(e3, all_8_15) = all_8_13 & op(e3, all_8_19) = all_8_17 &
% 71.81/10.51  |          op(e3, all_8_22) = all_8_20 & op(e3, all_8_25) = all_8_23 & op(e3,
% 71.81/10.51  |            all_8_31) = all_8_30 & op(e3, all_8_44) = all_8_43 & op(e3,
% 71.81/10.51  |            all_8_57) = all_8_56 & op(e3, all_8_66) = all_8_16 & op(e3, e4) =
% 71.81/10.51  |          all_8_3 & op(e3, e3) = all_8_66 & op(e3, e2) = all_8_31 & op(e3, e1)
% 71.81/10.51  |          = all_8_44 & op(e3, e0) = all_8_57 & op(e2, all_8_6) = all_8_5 &
% 71.81/10.51  |          op(e2, all_8_19) = all_8_18 & op(e2, all_8_28) = all_8_26 & op(e2,
% 71.81/10.51  |            all_8_31) = all_8_29 & op(e2, all_8_35) = all_8_33 & op(e2,
% 71.81/10.51  |            all_8_38) = all_8_36 & op(e2, all_8_47) = all_8_46 & op(e2,
% 71.81/10.51  |            all_8_60) = all_8_59 & op(e2, all_8_67) = all_8_32 & op(e2, e4) =
% 71.81/10.51  |          all_8_6 & op(e2, e3) = all_8_19 & op(e2, e2) = all_8_67 & op(e2, e1)
% 71.81/10.51  |          = all_8_47 & op(e2, e0) = all_8_60 & op(e1, all_8_9) = all_8_8 &
% 71.81/10.51  |          op(e1, all_8_22) = all_8_21 & op(e1, all_8_35) = all_8_34 & op(e1,
% 71.81/10.51  |            all_8_41) = all_8_39 & op(e1, all_8_44) = all_8_42 & op(e1,
% 71.81/10.51  |            all_8_47) = all_8_45 & op(e1, all_8_51) = all_8_49 & op(e1,
% 71.81/10.51  |            all_8_63) = all_8_62 & op(e1, all_8_68) = all_8_48 & op(e1, e4) =
% 71.81/10.51  |          all_8_9 & op(e1, e3) = all_8_22 & op(e1, e2) = all_8_35 & op(e1, e1)
% 71.81/10.51  |          = all_8_68 & op(e1, e0) = all_8_63 & op(e0, all_8_12) = all_8_11 &
% 71.81/10.51  |          op(e0, all_8_25) = all_8_24 & op(e0, all_8_38) = all_8_37 & op(e0,
% 71.81/10.51  |            all_8_51) = all_8_50 & op(e0, all_8_54) = all_8_52 & op(e0,
% 71.81/10.51  |            all_8_57) = all_8_55 & op(e0, all_8_60) = all_8_58 & op(e0,
% 71.81/10.51  |            all_8_63) = all_8_61 & op(e0, all_8_69) = all_8_64 & op(e0, e4) =
% 71.81/10.51  |          all_8_12 & op(e0, e3) = all_8_25 & op(e0, e2) = all_8_38 & op(e0, e1)
% 71.81/10.51  |          = all_8_51 & op(e0, e0) = all_8_69 & $i(all_8_0) & $i(all_8_1) &
% 71.81/10.51  |          $i(all_8_2) & $i(all_8_3) & $i(all_8_4) & $i(all_8_5) & $i(all_8_6) &
% 71.81/10.51  |          $i(all_8_7) & $i(all_8_8) & $i(all_8_9) & $i(all_8_10) & $i(all_8_11)
% 71.81/10.51  |          & $i(all_8_12) & $i(all_8_13) & $i(all_8_14) & $i(all_8_15) &
% 71.81/10.51  |          $i(all_8_16) & $i(all_8_17) & $i(all_8_18) & $i(all_8_19) &
% 71.81/10.51  |          $i(all_8_20) & $i(all_8_21) & $i(all_8_22) & $i(all_8_23) &
% 71.81/10.51  |          $i(all_8_24) & $i(all_8_25) & $i(all_8_26) & $i(all_8_27) &
% 71.81/10.51  |          $i(all_8_28) & $i(all_8_29) & $i(all_8_30) & $i(all_8_31) &
% 71.81/10.51  |          $i(all_8_32) & $i(all_8_33) & $i(all_8_34) & $i(all_8_35) &
% 71.81/10.51  |          $i(all_8_36) & $i(all_8_37) & $i(all_8_38) & $i(all_8_39) &
% 71.81/10.51  |          $i(all_8_40) & $i(all_8_41) & $i(all_8_42) & $i(all_8_43) &
% 71.81/10.51  |          $i(all_8_44) & $i(all_8_45) & $i(all_8_46) & $i(all_8_47) &
% 71.81/10.51  |          $i(all_8_48) & $i(all_8_49) & $i(all_8_50) & $i(all_8_51) &
% 71.81/10.51  |          $i(all_8_52) & $i(all_8_53) & $i(all_8_54) & $i(all_8_55) &
% 71.81/10.51  |          $i(all_8_56) & $i(all_8_57) & $i(all_8_58) & $i(all_8_59) &
% 71.81/10.51  |          $i(all_8_60) & $i(all_8_61) & $i(all_8_62) & $i(all_8_63) &
% 71.81/10.51  |          $i(all_8_64) & $i(all_8_65) & $i(all_8_66) & $i(all_8_67) &
% 71.81/10.51  |          $i(all_8_68) & $i(all_8_69) & (all_8_65 = e4 | all_8_66 = e4 |
% 71.81/10.51  |            all_8_67 = e4 | all_8_68 = e4 | all_8_69 = e4) & (all_8_65 = e3 |
% 71.81/10.51  |            all_8_66 = e3 | all_8_67 = e3 | all_8_68 = e3 | all_8_69 = e3) &
% 71.81/10.51  |          (all_8_65 = e2 | all_8_66 = e2 | all_8_67 = e2 | all_8_68 = e2 |
% 71.81/10.51  |            all_8_69 = e2) & (all_8_65 = e1 | all_8_66 = e1 | all_8_67 = e1 |
% 71.81/10.51  |            all_8_68 = e1 | all_8_69 = e1) & (all_8_65 = e0 | all_8_66 = e0 |
% 71.81/10.51  |            all_8_67 = e0 | all_8_68 = e0 | all_8_69 = e0) & ((all_8_1 = e3 & 
% 71.81/10.51  |              ~ (all_8_2 = e4)) | (all_8_4 = e2 &  ~ (all_8_5 = e4)) | (all_8_7
% 71.81/10.51  |              = e1 &  ~ (all_8_8 = e4)) | (all_8_10 = e0 &  ~ (all_8_11 = e4)))
% 71.81/10.51  |          & ((all_8_13 = e4 &  ~ (all_8_14 = e3)) | (all_8_17 = e2 &  ~
% 71.81/10.51  |              (all_8_18 = e3)) | (all_8_20 = e1 &  ~ (all_8_21 = e3)) |
% 71.81/10.51  |            (all_8_23 = e0 &  ~ (all_8_24 = e3))) & ((all_8_26 = e4 &  ~
% 71.81/10.51  |              (all_8_27 = e2)) | (all_8_29 = e3 &  ~ (all_8_30 = e2)) |
% 71.81/10.51  |            (all_8_33 = e1 &  ~ (all_8_34 = e2)) | (all_8_36 = e0 &  ~
% 71.81/10.51  |              (all_8_37 = e2))) & ((all_8_39 = e4 &  ~ (all_8_40 = e1)) |
% 71.81/10.51  |            (all_8_42 = e3 &  ~ (all_8_43 = e1)) | (all_8_45 = e2 &  ~
% 71.81/10.51  |              (all_8_46 = e1)) | (all_8_49 = e0 &  ~ (all_8_50 = e1))) &
% 71.81/10.51  |          ((all_8_52 = e4 &  ~ (all_8_53 = e0)) | (all_8_55 = e3 &  ~ (all_8_56
% 71.81/10.51  |                = e0)) | (all_8_58 = e2 &  ~ (all_8_59 = e0)) | (all_8_61 = e1
% 71.81/10.51  |              &  ~ (all_8_62 = e0)))
% 71.81/10.51  | 
% 71.81/10.51  | ALPHA: (185) implies:
% 71.81/10.51  |   (186)  op(e0, e0) = all_8_69
% 71.81/10.51  |   (187)  op(e0, e1) = all_8_51
% 71.81/10.51  |   (188)  op(e0, e2) = all_8_38
% 71.81/10.51  |   (189)  op(e0, e3) = all_8_25
% 71.81/10.51  |   (190)  op(e0, e4) = all_8_12
% 71.81/10.51  |   (191)  op(e0, all_8_63) = all_8_61
% 71.81/10.51  |   (192)  op(e0, all_8_60) = all_8_58
% 71.81/10.51  |   (193)  op(e0, all_8_57) = all_8_55
% 71.81/10.51  |   (194)  op(e0, all_8_54) = all_8_52
% 71.81/10.51  |   (195)  op(e0, all_8_51) = all_8_50
% 71.81/10.51  |   (196)  op(e0, all_8_38) = all_8_37
% 71.81/10.51  |   (197)  op(e0, all_8_12) = all_8_11
% 71.81/10.51  |   (198)  op(e1, e0) = all_8_63
% 71.81/10.51  |   (199)  op(e1, e1) = all_8_68
% 71.81/10.51  |   (200)  op(e1, e2) = all_8_35
% 71.81/10.51  |   (201)  op(e1, e3) = all_8_22
% 71.81/10.51  |   (202)  op(e1, e4) = all_8_9
% 71.81/10.51  |   (203)  op(e1, all_8_63) = all_8_62
% 71.81/10.51  |   (204)  op(e1, all_8_51) = all_8_49
% 71.81/10.51  |   (205)  op(e1, all_8_47) = all_8_45
% 71.81/10.51  |   (206)  op(e1, all_8_44) = all_8_42
% 71.81/10.51  |   (207)  op(e1, all_8_41) = all_8_39
% 71.81/10.51  |   (208)  op(e1, all_8_35) = all_8_34
% 71.81/10.51  |   (209)  op(e1, all_8_22) = all_8_21
% 71.81/10.51  |   (210)  op(e1, all_8_9) = all_8_8
% 71.81/10.51  |   (211)  op(e2, e0) = all_8_60
% 71.81/10.51  |   (212)  op(e2, e1) = all_8_47
% 71.81/10.51  |   (213)  op(e2, e2) = all_8_67
% 71.81/10.51  |   (214)  op(e2, e3) = all_8_19
% 71.81/10.51  |   (215)  op(e2, e4) = all_8_6
% 71.81/10.51  |   (216)  op(e2, all_8_60) = all_8_59
% 71.81/10.51  |   (217)  op(e2, all_8_47) = all_8_46
% 71.81/10.51  |   (218)  op(e2, all_8_38) = all_8_36
% 71.81/10.51  |   (219)  op(e2, all_8_35) = all_8_33
% 71.81/10.51  |   (220)  op(e2, all_8_31) = all_8_29
% 71.81/10.51  |   (221)  op(e2, all_8_28) = all_8_26
% 71.81/10.51  |   (222)  op(e2, all_8_19) = all_8_18
% 71.81/10.51  |   (223)  op(e2, all_8_6) = all_8_5
% 71.81/10.51  |   (224)  op(e3, e0) = all_8_57
% 71.81/10.51  |   (225)  op(e3, e1) = all_8_44
% 71.81/10.51  |   (226)  op(e3, e2) = all_8_31
% 71.81/10.51  |   (227)  op(e3, e3) = all_8_66
% 71.81/10.51  |   (228)  op(e3, e4) = all_8_3
% 71.81/10.51  |   (229)  op(e3, all_8_44) = all_8_43
% 71.81/10.51  |   (230)  op(e3, all_8_31) = all_8_30
% 71.81/10.51  |   (231)  op(e3, all_8_25) = all_8_23
% 71.81/10.51  |   (232)  op(e3, all_8_22) = all_8_20
% 71.81/10.51  |   (233)  op(e3, all_8_19) = all_8_17
% 71.81/10.51  |   (234)  op(e3, all_8_15) = all_8_13
% 71.81/10.51  |   (235)  op(e3, all_8_3) = all_8_2
% 71.81/10.51  |   (236)  op(e4, e0) = all_8_54
% 71.81/10.51  |   (237)  op(e4, e1) = all_8_41
% 71.81/10.51  |   (238)  op(e4, e2) = all_8_28
% 71.81/10.51  |   (239)  op(e4, e3) = all_8_15
% 71.81/10.51  |   (240)  op(e4, e4) = all_8_65
% 71.81/10.51  |   (241)  op(e4, all_8_54) = all_8_53
% 71.81/10.51  |   (242)  op(e4, all_8_41) = all_8_40
% 71.81/10.51  |   (243)  op(e4, all_8_28) = all_8_27
% 71.81/10.51  |   (244)  op(e4, all_8_15) = all_8_14
% 71.81/10.51  |   (245)  op(e4, all_8_12) = all_8_10
% 71.81/10.51  |   (246)  op(e4, all_8_9) = all_8_7
% 71.81/10.51  |   (247)  op(e4, all_8_6) = all_8_4
% 71.81/10.51  |   (248)  op(e4, all_8_3) = all_8_1
% 71.81/10.51  |   (249)  (all_8_52 = e4 &  ~ (all_8_53 = e0)) | (all_8_55 = e3 &  ~ (all_8_56
% 71.81/10.51  |              = e0)) | (all_8_58 = e2 &  ~ (all_8_59 = e0)) | (all_8_61 = e1 & 
% 71.81/10.51  |            ~ (all_8_62 = e0))
% 71.81/10.51  |   (250)  (all_8_39 = e4 &  ~ (all_8_40 = e1)) | (all_8_42 = e3 &  ~ (all_8_43
% 71.81/10.51  |              = e1)) | (all_8_45 = e2 &  ~ (all_8_46 = e1)) | (all_8_49 = e0 & 
% 71.81/10.51  |            ~ (all_8_50 = e1))
% 71.81/10.52  |   (251)  (all_8_26 = e4 &  ~ (all_8_27 = e2)) | (all_8_29 = e3 &  ~ (all_8_30
% 71.81/10.52  |              = e2)) | (all_8_33 = e1 &  ~ (all_8_34 = e2)) | (all_8_36 = e0 & 
% 71.81/10.52  |            ~ (all_8_37 = e2))
% 71.81/10.52  |   (252)  (all_8_13 = e4 &  ~ (all_8_14 = e3)) | (all_8_17 = e2 &  ~ (all_8_18
% 71.81/10.52  |              = e3)) | (all_8_20 = e1 &  ~ (all_8_21 = e3)) | (all_8_23 = e0 & 
% 71.81/10.52  |            ~ (all_8_24 = e3))
% 71.81/10.52  |   (253)  (all_8_1 = e3 &  ~ (all_8_2 = e4)) | (all_8_4 = e2 &  ~ (all_8_5 =
% 71.81/10.52  |              e4)) | (all_8_7 = e1 &  ~ (all_8_8 = e4)) | (all_8_10 = e0 &  ~
% 71.81/10.52  |            (all_8_11 = e4))
% 71.81/10.52  |   (254)  all_8_65 = e0 | all_8_66 = e0 | all_8_67 = e0 | all_8_68 = e0 |
% 71.81/10.52  |          all_8_69 = e0
% 71.81/10.52  |   (255)  all_8_65 = e1 | all_8_66 = e1 | all_8_67 = e1 | all_8_68 = e1 |
% 71.81/10.52  |          all_8_69 = e1
% 71.81/10.52  | 
% 71.81/10.52  | DELTA: instantiating (2) with fresh symbols all_10_0, all_10_1, all_10_2,
% 71.81/10.52  |        all_10_3, all_10_4, all_10_5, all_10_6, all_10_7, all_10_8, all_10_9,
% 71.81/10.52  |        all_10_10, all_10_11, all_10_12, all_10_13, all_10_14, all_10_15,
% 71.81/10.52  |        all_10_16, all_10_17, all_10_18, all_10_19, all_10_20, all_10_21,
% 71.81/10.52  |        all_10_22, all_10_23, all_10_24 gives:
% 71.81/10.52  |   (256)  op(e4, e4) = all_10_0 & op(e4, e3) = all_10_1 & op(e4, e2) = all_10_4
% 71.81/10.52  |          & op(e4, e1) = all_10_9 & op(e4, e0) = all_10_16 & op(e3, e4) =
% 71.81/10.52  |          all_10_2 & op(e3, e3) = all_10_3 & op(e3, e2) = all_10_5 & op(e3, e1)
% 71.81/10.52  |          = all_10_10 & op(e3, e0) = all_10_17 & op(e2, e4) = all_10_6 & op(e2,
% 71.81/10.52  |            e3) = all_10_7 & op(e2, e2) = all_10_8 & op(e2, e1) = all_10_11 &
% 71.81/10.52  |          op(e2, e0) = all_10_18 & op(e1, e4) = all_10_12 & op(e1, e3) =
% 71.81/10.52  |          all_10_13 & op(e1, e2) = all_10_14 & op(e1, e1) = all_10_15 & op(e1,
% 71.81/10.52  |            e0) = all_10_19 & op(e0, e4) = all_10_20 & op(e0, e3) = all_10_21 &
% 71.81/10.52  |          op(e0, e2) = all_10_22 & op(e0, e1) = all_10_23 & op(e0, e0) =
% 71.81/10.52  |          all_10_24 & $i(all_10_0) & $i(all_10_1) & $i(all_10_2) & $i(all_10_3)
% 71.81/10.52  |          & $i(all_10_4) & $i(all_10_5) & $i(all_10_6) & $i(all_10_7) &
% 71.81/10.52  |          $i(all_10_8) & $i(all_10_9) & $i(all_10_10) & $i(all_10_11) &
% 71.81/10.52  |          $i(all_10_12) & $i(all_10_13) & $i(all_10_14) & $i(all_10_15) &
% 71.81/10.52  |          $i(all_10_16) & $i(all_10_17) & $i(all_10_18) & $i(all_10_19) &
% 71.81/10.52  |          $i(all_10_20) & $i(all_10_21) & $i(all_10_22) & $i(all_10_23) &
% 71.81/10.52  |          $i(all_10_24) & (all_10_0 = e4 | all_10_1 = e4 | all_10_4 = e4 |
% 71.81/10.52  |            all_10_9 = e4 | all_10_16 = e4) & (all_10_0 = e4 | all_10_2 = e4 |
% 71.81/10.52  |            all_10_6 = e4 | all_10_12 = e4 | all_10_20 = e4) & (all_10_0 = e3 |
% 71.81/10.52  |            all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3) &
% 71.81/10.52  |          (all_10_0 = e3 | all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 71.81/10.52  |            all_10_20 = e3) & (all_10_0 = e2 | all_10_1 = e2 | all_10_4 = e2 |
% 71.81/10.52  |            all_10_9 = e2 | all_10_16 = e2) & (all_10_0 = e2 | all_10_2 = e2 |
% 71.81/10.52  |            all_10_6 = e2 | all_10_12 = e2 | all_10_20 = e2) & (all_10_0 = e1 |
% 71.81/10.52  |            all_10_1 = e1 | all_10_4 = e1 | all_10_9 = e1 | all_10_16 = e1) &
% 71.81/10.52  |          (all_10_0 = e1 | all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 |
% 71.81/10.52  |            all_10_20 = e1) & (all_10_0 = e0 | all_10_1 = e0 | all_10_4 = e0 |
% 71.81/10.52  |            all_10_9 = e0 | all_10_16 = e0) & (all_10_0 = e0 | all_10_2 = e0 |
% 71.81/10.52  |            all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0) & (all_10_1 = e4 |
% 71.81/10.52  |            all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 | all_10_21 = e4) &
% 71.81/10.52  |          (all_10_1 = e3 | all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 |
% 71.81/10.52  |            all_10_21 = e3) & (all_10_1 = e2 | all_10_3 = e2 | all_10_7 = e2 |
% 71.81/10.52  |            all_10_13 = e2 | all_10_21 = e2) & (all_10_1 = e1 | all_10_3 = e1 |
% 71.81/10.52  |            all_10_7 = e1 | all_10_13 = e1 | all_10_21 = e1) & (all_10_1 = e0 |
% 71.81/10.52  |            all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 | all_10_21 = e0) &
% 71.81/10.52  |          (all_10_2 = e4 | all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 |
% 71.81/10.52  |            all_10_17 = e4) & (all_10_2 = e3 | all_10_3 = e3 | all_10_5 = e3 |
% 71.81/10.52  |            all_10_10 = e3 | all_10_17 = e3) & (all_10_2 = e2 | all_10_3 = e2 |
% 71.81/10.52  |            all_10_5 = e2 | all_10_10 = e2 | all_10_17 = e2) & (all_10_2 = e1 |
% 71.81/10.52  |            all_10_3 = e1 | all_10_5 = e1 | all_10_10 = e1 | all_10_17 = e1) &
% 71.81/10.52  |          (all_10_2 = e0 | all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 |
% 71.81/10.52  |            all_10_17 = e0) & (all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 |
% 71.81/10.52  |            all_10_14 = e4 | all_10_22 = e4) & (all_10_4 = e3 | all_10_5 = e3 |
% 71.81/10.52  |            all_10_8 = e3 | all_10_14 = e3 | all_10_22 = e3) & (all_10_4 = e2 |
% 71.81/10.52  |            all_10_5 = e2 | all_10_8 = e2 | all_10_14 = e2 | all_10_22 = e2) &
% 71.81/10.52  |          (all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 71.81/10.52  |            all_10_22 = e1) & (all_10_4 = e0 | all_10_5 = e0 | all_10_8 = e0 |
% 71.81/10.52  |            all_10_14 = e0 | all_10_22 = e0) & (all_10_6 = e4 | all_10_7 = e4 |
% 71.81/10.52  |            all_10_8 = e4 | all_10_11 = e4 | all_10_18 = e4) & (all_10_6 = e3 |
% 71.81/10.52  |            all_10_7 = e3 | all_10_8 = e3 | all_10_11 = e3 | all_10_18 = e3) &
% 71.81/10.52  |          (all_10_6 = e2 | all_10_7 = e2 | all_10_8 = e2 | all_10_11 = e2 |
% 71.81/10.52  |            all_10_18 = e2) & (all_10_6 = e1 | all_10_7 = e1 | all_10_8 = e1 |
% 71.81/10.52  |            all_10_11 = e1 | all_10_18 = e1) & (all_10_6 = e0 | all_10_7 = e0 |
% 71.81/10.52  |            all_10_8 = e0 | all_10_11 = e0 | all_10_18 = e0) & (all_10_9 = e4 |
% 71.81/10.52  |            all_10_10 = e4 | all_10_11 = e4 | all_10_15 = e4 | all_10_23 = e4)
% 71.81/10.52  |          & (all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 71.81/10.52  |            all_10_23 = e3) & (all_10_9 = e2 | all_10_10 = e2 | all_10_11 = e2
% 71.81/10.52  |            | all_10_15 = e2 | all_10_23 = e2) & (all_10_9 = e1 | all_10_10 =
% 71.81/10.52  |            e1 | all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1) & (all_10_9
% 71.81/10.52  |            = e0 | all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 | all_10_23
% 71.81/10.52  |            = e0) & (all_10_12 = e4 | all_10_13 = e4 | all_10_14 = e4 |
% 71.81/10.52  |            all_10_15 = e4 | all_10_19 = e4) & (all_10_12 = e3 | all_10_13 = e3
% 71.81/10.52  |            | all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3) & (all_10_12 =
% 71.81/10.52  |            e2 | all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 | all_10_19 =
% 71.81/10.52  |            e2) & (all_10_12 = e1 | all_10_13 = e1 | all_10_14 = e1 | all_10_15
% 71.81/10.52  |            = e1 | all_10_19 = e1) & (all_10_12 = e0 | all_10_13 = e0 |
% 71.81/10.52  |            all_10_14 = e0 | all_10_15 = e0 | all_10_19 = e0) & (all_10_16 = e4
% 71.81/10.52  |            | all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 | all_10_24 =
% 71.81/10.52  |            e4) & (all_10_16 = e3 | all_10_17 = e3 | all_10_18 = e3 | all_10_19
% 71.81/10.52  |            = e3 | all_10_24 = e3) & (all_10_16 = e2 | all_10_17 = e2 |
% 71.81/10.52  |            all_10_18 = e2 | all_10_19 = e2 | all_10_24 = e2) & (all_10_16 = e1
% 71.81/10.52  |            | all_10_17 = e1 | all_10_18 = e1 | all_10_19 = e1 | all_10_24 =
% 71.81/10.52  |            e1) & (all_10_20 = e4 | all_10_21 = e4 | all_10_22 = e4 | all_10_23
% 71.81/10.52  |            = e4 | all_10_24 = e4) & (all_10_20 = e3 | all_10_21 = e3 |
% 71.81/10.52  |            all_10_22 = e3 | all_10_23 = e3 | all_10_24 = e3) & (all_10_20 = e2
% 71.81/10.52  |            | all_10_21 = e2 | all_10_22 = e2 | all_10_23 = e2 | all_10_24 =
% 71.81/10.52  |            e2) & (all_10_20 = e1 | all_10_21 = e1 | all_10_22 = e1 | all_10_23
% 71.81/10.52  |            = e1 | all_10_24 = e1) & (all_10_24 = e0 | ((all_10_16 = e0 |
% 71.81/10.52  |                all_10_17 = e0 | all_10_18 = e0 | all_10_19 = e0) & (all_10_20
% 71.81/10.52  |                = e0 | all_10_21 = e0 | all_10_22 = e0 | all_10_23 = e0)))
% 71.81/10.52  | 
% 71.81/10.52  | ALPHA: (256) implies:
% 71.81/10.53  |   (257)  op(e0, e0) = all_10_24
% 71.81/10.53  |   (258)  op(e0, e1) = all_10_23
% 71.81/10.53  |   (259)  op(e0, e2) = all_10_22
% 71.81/10.53  |   (260)  op(e0, e3) = all_10_21
% 71.81/10.53  |   (261)  op(e0, e4) = all_10_20
% 71.81/10.53  |   (262)  op(e1, e0) = all_10_19
% 71.81/10.53  |   (263)  op(e1, e1) = all_10_15
% 71.81/10.53  |   (264)  op(e1, e2) = all_10_14
% 71.81/10.53  |   (265)  op(e1, e3) = all_10_13
% 71.81/10.53  |   (266)  op(e1, e4) = all_10_12
% 71.81/10.53  |   (267)  op(e2, e0) = all_10_18
% 71.81/10.53  |   (268)  op(e2, e1) = all_10_11
% 71.81/10.53  |   (269)  op(e2, e2) = all_10_8
% 71.81/10.53  |   (270)  op(e2, e3) = all_10_7
% 71.81/10.53  |   (271)  op(e2, e4) = all_10_6
% 71.81/10.53  |   (272)  op(e3, e0) = all_10_17
% 71.81/10.53  |   (273)  op(e3, e1) = all_10_10
% 71.81/10.53  |   (274)  op(e3, e2) = all_10_5
% 71.81/10.53  |   (275)  op(e3, e3) = all_10_3
% 71.81/10.53  |   (276)  op(e3, e4) = all_10_2
% 71.81/10.53  |   (277)  op(e4, e0) = all_10_16
% 71.81/10.53  |   (278)  op(e4, e1) = all_10_9
% 71.81/10.53  |   (279)  op(e4, e2) = all_10_4
% 71.81/10.53  |   (280)  op(e4, e3) = all_10_1
% 71.81/10.53  |   (281)  op(e4, e4) = all_10_0
% 71.81/10.53  |   (282)  all_10_24 = e0 | ((all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0 |
% 71.81/10.53  |              all_10_19 = e0) & (all_10_20 = e0 | all_10_21 = e0 | all_10_22 =
% 71.81/10.53  |              e0 | all_10_23 = e0))
% 71.81/10.53  |   (283)  all_10_20 = e1 | all_10_21 = e1 | all_10_22 = e1 | all_10_23 = e1 |
% 71.81/10.53  |          all_10_24 = e1
% 71.81/10.53  |   (284)  all_10_20 = e2 | all_10_21 = e2 | all_10_22 = e2 | all_10_23 = e2 |
% 71.81/10.53  |          all_10_24 = e2
% 71.81/10.53  |   (285)  all_10_20 = e3 | all_10_21 = e3 | all_10_22 = e3 | all_10_23 = e3 |
% 71.81/10.53  |          all_10_24 = e3
% 71.81/10.53  |   (286)  all_10_20 = e4 | all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 71.81/10.53  |          all_10_24 = e4
% 71.81/10.53  |   (287)  all_10_16 = e2 | all_10_17 = e2 | all_10_18 = e2 | all_10_19 = e2 |
% 71.81/10.53  |          all_10_24 = e2
% 71.81/10.53  |   (288)  all_10_16 = e3 | all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 |
% 71.81/10.53  |          all_10_24 = e3
% 71.81/10.53  |   (289)  all_10_16 = e4 | all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 |
% 71.81/10.53  |          all_10_24 = e4
% 71.81/10.53  |   (290)  all_10_12 = e1 | all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 |
% 71.81/10.53  |          all_10_19 = e1
% 71.81/10.53  |   (291)  all_10_12 = e2 | all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 |
% 71.81/10.53  |          all_10_19 = e2
% 71.81/10.53  |   (292)  all_10_12 = e3 | all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 |
% 71.81/10.53  |          all_10_19 = e3
% 71.81/10.53  |   (293)  all_10_9 = e0 | all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 |
% 71.81/10.53  |          all_10_23 = e0
% 71.81/10.53  |   (294)  all_10_9 = e1 | all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 |
% 71.81/10.53  |          all_10_23 = e1
% 71.81/10.53  |   (295)  all_10_9 = e2 | all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 |
% 71.81/10.53  |          all_10_23 = e2
% 71.81/10.53  |   (296)  all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 71.81/10.53  |          all_10_23 = e3
% 71.81/10.53  |   (297)  all_10_6 = e0 | all_10_7 = e0 | all_10_8 = e0 | all_10_11 = e0 |
% 71.81/10.53  |          all_10_18 = e0
% 71.81/10.53  |   (298)  all_10_6 = e1 | all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 |
% 71.81/10.53  |          all_10_18 = e1
% 71.81/10.53  |   (299)  all_10_6 = e2 | all_10_7 = e2 | all_10_8 = e2 | all_10_11 = e2 |
% 71.81/10.53  |          all_10_18 = e2
% 71.81/10.53  |   (300)  all_10_6 = e4 | all_10_7 = e4 | all_10_8 = e4 | all_10_11 = e4 |
% 71.81/10.53  |          all_10_18 = e4
% 71.81/10.53  |   (301)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 71.81/10.53  |          all_10_22 = e1
% 71.81/10.53  |   (302)  all_10_4 = e2 | all_10_5 = e2 | all_10_8 = e2 | all_10_14 = e2 |
% 71.81/10.53  |          all_10_22 = e2
% 71.81/10.53  |   (303)  all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 71.81/10.53  |          all_10_22 = e4
% 71.81/10.53  |   (304)  all_10_2 = e0 | all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 |
% 71.81/10.53  |          all_10_17 = e0
% 71.81/10.53  |   (305)  all_10_2 = e1 | all_10_3 = e1 | all_10_5 = e1 | all_10_10 = e1 |
% 71.81/10.53  |          all_10_17 = e1
% 71.81/10.53  |   (306)  all_10_2 = e2 | all_10_3 = e2 | all_10_5 = e2 | all_10_10 = e2 |
% 71.81/10.53  |          all_10_17 = e2
% 71.81/10.53  |   (307)  all_10_2 = e3 | all_10_3 = e3 | all_10_5 = e3 | all_10_10 = e3 |
% 71.81/10.53  |          all_10_17 = e3
% 71.81/10.53  |   (308)  all_10_2 = e4 | all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 |
% 71.81/10.53  |          all_10_17 = e4
% 71.81/10.53  |   (309)  all_10_1 = e0 | all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 |
% 71.81/10.53  |          all_10_21 = e0
% 71.81/10.53  |   (310)  all_10_1 = e2 | all_10_3 = e2 | all_10_7 = e2 | all_10_13 = e2 |
% 71.81/10.53  |          all_10_21 = e2
% 71.81/10.53  |   (311)  all_10_1 = e3 | all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 |
% 71.81/10.53  |          all_10_21 = e3
% 71.81/10.53  |   (312)  all_10_1 = e4 | all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 |
% 71.81/10.53  |          all_10_21 = e4
% 71.81/10.54  |   (313)  all_10_0 = e0 | all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 |
% 71.81/10.54  |          all_10_20 = e0
% 71.81/10.54  |   (314)  all_10_0 = e0 | all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 71.81/10.54  |          all_10_16 = e0
% 71.81/10.54  |   (315)  all_10_0 = e1 | all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 |
% 71.81/10.54  |          all_10_20 = e1
% 71.81/10.54  |   (316)  all_10_0 = e1 | all_10_1 = e1 | all_10_4 = e1 | all_10_9 = e1 |
% 71.81/10.54  |          all_10_16 = e1
% 71.81/10.54  |   (317)  all_10_0 = e3 | all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 71.81/10.54  |          all_10_20 = e3
% 71.81/10.54  |   (318)  all_10_0 = e3 | all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 71.81/10.54  |          all_10_16 = e3
% 71.81/10.54  |   (319)  all_10_0 = e4 | all_10_2 = e4 | all_10_6 = e4 | all_10_12 = e4 |
% 71.81/10.54  |          all_10_20 = e4
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_6_24, all_8_69, e0, e0,
% 71.81/10.54  |              simplifying with (143), (186) gives:
% 71.81/10.54  |   (320)  all_8_69 = all_6_24
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_8_69, all_10_24, e0, e0,
% 71.81/10.54  |              simplifying with (186), (257) gives:
% 71.81/10.54  |   (321)  all_10_24 = all_8_69
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_4_24, all_10_24, e0, e0,
% 71.81/10.54  |              simplifying with (117), (257) gives:
% 71.81/10.54  |   (322)  all_10_24 = all_4_24
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_8_51, all_10_23, e1, e0,
% 71.81/10.54  |              simplifying with (187), (258) gives:
% 71.81/10.54  |   (323)  all_10_23 = all_8_51
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_6_23, all_10_23, e1, e0,
% 71.81/10.54  |              simplifying with (144), (258) gives:
% 71.81/10.54  |   (324)  all_10_23 = all_6_23
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_4_19, all_10_23, e1, e0,
% 71.81/10.54  |              simplifying with (118), (258) gives:
% 71.81/10.54  |   (325)  all_10_23 = all_4_19
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_8_38, all_10_22, e2, e0,
% 71.81/10.54  |              simplifying with (188), (259) gives:
% 71.81/10.54  |   (326)  all_10_22 = all_8_38
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_6_22, all_10_22, e2, e0,
% 71.81/10.54  |              simplifying with (145), (259) gives:
% 71.81/10.54  |   (327)  all_10_22 = all_6_22
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_4_14, all_10_22, e2, e0,
% 71.81/10.54  |              simplifying with (119), (259) gives:
% 71.81/10.54  |   (328)  all_10_22 = all_4_14
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_6_21, all_8_25, e3, e0,
% 71.81/10.54  |              simplifying with (146), (189) gives:
% 71.81/10.54  |   (329)  all_8_25 = all_6_21
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_8_25, all_10_21, e3, e0,
% 71.81/10.54  |              simplifying with (189), (260) gives:
% 71.81/10.54  |   (330)  all_10_21 = all_8_25
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_4_9, all_10_21, e3, e0,
% 71.81/10.54  |              simplifying with (120), (260) gives:
% 71.81/10.54  |   (331)  all_10_21 = all_4_9
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_8_12, all_10_20, e4, e0,
% 71.81/10.54  |              simplifying with (190), (261) gives:
% 71.81/10.54  |   (332)  all_10_20 = all_8_12
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_6_20, all_10_20, e4, e0,
% 71.81/10.54  |              simplifying with (147), (261) gives:
% 71.81/10.54  |   (333)  all_10_20 = all_6_20
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_4_4, all_10_20, e4, e0,
% 71.81/10.54  |              simplifying with (121), (261) gives:
% 71.81/10.54  |   (334)  all_10_20 = all_4_4
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_6_19, all_8_63, e0, e1,
% 71.81/10.54  |              simplifying with (148), (198) gives:
% 71.81/10.54  |   (335)  all_8_63 = all_6_19
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_8_63, all_10_19, e0, e1,
% 71.81/10.54  |              simplifying with (198), (262) gives:
% 71.81/10.54  |   (336)  all_10_19 = all_8_63
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_4_23, all_10_19, e0, e1,
% 71.81/10.54  |              simplifying with (122), (262) gives:
% 71.81/10.54  |   (337)  all_10_19 = all_4_23
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_4_18, all_8_68, e1, e1,
% 71.81/10.54  |              simplifying with (123), (199) gives:
% 71.81/10.54  |   (338)  all_8_68 = all_4_18
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with e4, all_8_68, e1, e1,
% 71.81/10.54  |              simplifying with (12), (199) gives:
% 71.81/10.54  |   (339)  all_8_68 = e4
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_8_68, all_10_15, e1, e1,
% 71.81/10.54  |              simplifying with (199), (263) gives:
% 71.81/10.54  |   (340)  all_10_15 = all_8_68
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_6_18, all_10_15, e1, e1,
% 71.81/10.54  |              simplifying with (149), (263) gives:
% 71.81/10.54  |   (341)  all_10_15 = all_6_18
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_6_17, all_8_35, e2, e1,
% 71.81/10.54  |              simplifying with (150), (200) gives:
% 71.81/10.54  |   (342)  all_8_35 = all_6_17
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_4_13, all_8_35, e2, e1,
% 71.81/10.54  |              simplifying with (124), (200) gives:
% 71.81/10.54  |   (343)  all_8_35 = all_4_13
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_6_17, all_10_14, e2, e1,
% 71.81/10.54  |              simplifying with (150), (264) gives:
% 71.81/10.54  |   (344)  all_10_14 = all_6_17
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with e0, all_10_14, e2, e1,
% 71.81/10.54  |              simplifying with (13), (264) gives:
% 71.81/10.54  |   (345)  all_10_14 = e0
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_6_16, all_8_22, e3, e1,
% 71.81/10.54  |              simplifying with (151), (201) gives:
% 71.81/10.54  |   (346)  all_8_22 = all_6_16
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_8_22, all_10_13, e3, e1,
% 71.81/10.54  |              simplifying with (201), (265) gives:
% 71.81/10.54  |   (347)  all_10_13 = all_8_22
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_4_8, all_10_13, e3, e1,
% 71.81/10.54  |              simplifying with (125), (265) gives:
% 71.81/10.54  |   (348)  all_10_13 = all_4_8
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_6_15, all_8_9, e4, e1,
% 71.81/10.54  |              simplifying with (152), (202) gives:
% 71.81/10.54  |   (349)  all_8_9 = all_6_15
% 71.81/10.54  | 
% 71.81/10.54  | GROUND_INST: instantiating (function-axioms) with all_8_9, all_10_12, e4, e1,
% 71.81/10.54  |              simplifying with (202), (266) gives:
% 71.81/10.54  |   (350)  all_10_12 = all_8_9
% 71.81/10.54  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_4_3, all_10_12, e4, e1,
% 71.81/10.55  |              simplifying with (126), (266) gives:
% 71.81/10.55  |   (351)  all_10_12 = all_4_3
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_4_22, all_8_60, e0, e2,
% 71.81/10.55  |              simplifying with (127), (211) gives:
% 71.81/10.55  |   (352)  all_8_60 = all_4_22
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_8_60, all_10_18, e0, e2,
% 71.81/10.55  |              simplifying with (211), (267) gives:
% 71.81/10.55  |   (353)  all_10_18 = all_8_60
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_6_14, all_10_18, e0, e2,
% 71.81/10.55  |              simplifying with (153), (267) gives:
% 71.81/10.55  |   (354)  all_10_18 = all_6_14
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_6_13, all_8_47, e1, e2,
% 71.81/10.55  |              simplifying with (154), (212) gives:
% 71.81/10.55  |   (355)  all_8_47 = all_6_13
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_8_47, all_10_11, e1, e2,
% 71.81/10.55  |              simplifying with (212), (268) gives:
% 71.81/10.55  |   (356)  all_10_11 = all_8_47
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_4_17, all_10_11, e1, e2,
% 71.81/10.55  |              simplifying with (128), (268) gives:
% 71.81/10.55  |   (357)  all_10_11 = all_4_17
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_4_12, all_6_12, e2, e2,
% 71.81/10.55  |              simplifying with (129), (155) gives:
% 71.81/10.55  |   (358)  all_6_12 = all_4_12
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_6_12, all_8_67, e2, e2,
% 71.81/10.55  |              simplifying with (155), (213) gives:
% 71.81/10.55  |   (359)  all_8_67 = all_6_12
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_8_67, all_10_8, e2, e2,
% 71.81/10.55  |              simplifying with (213), (269) gives:
% 71.81/10.55  |   (360)  all_10_8 = all_8_67
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with e3, all_10_8, e2, e2,
% 71.81/10.55  |              simplifying with (14), (269) gives:
% 71.81/10.55  |   (361)  all_10_8 = e3
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_4_7, all_8_19, e3, e2,
% 71.81/10.55  |              simplifying with (130), (214) gives:
% 71.81/10.55  |   (362)  all_8_19 = all_4_7
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_8_19, all_10_7, e3, e2,
% 71.81/10.55  |              simplifying with (214), (270) gives:
% 71.81/10.55  |   (363)  all_10_7 = all_8_19
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_6_11, all_10_7, e3, e2,
% 71.81/10.55  |              simplifying with (156), (270) gives:
% 71.81/10.55  |   (364)  all_10_7 = all_6_11
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_8_6, all_10_6, e4, e2,
% 71.81/10.55  |              simplifying with (215), (271) gives:
% 71.81/10.55  |   (365)  all_10_6 = all_8_6
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_6_10, all_10_6, e4, e2,
% 71.81/10.55  |              simplifying with (157), (271) gives:
% 71.81/10.55  |   (366)  all_10_6 = all_6_10
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_4_2, all_10_6, e4, e2,
% 71.81/10.55  |              simplifying with (131), (271) gives:
% 71.81/10.55  |   (367)  all_10_6 = all_4_2
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_6_9, all_8_57, e0, e3,
% 71.81/10.55  |              simplifying with (158), (224) gives:
% 71.81/10.55  |   (368)  all_8_57 = all_6_9
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_8_57, all_10_17, e0, e3,
% 71.81/10.55  |              simplifying with (224), (272) gives:
% 71.81/10.55  |   (369)  all_10_17 = all_8_57
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_4_21, all_10_17, e0, e3,
% 71.81/10.55  |              simplifying with (132), (272) gives:
% 71.81/10.55  |   (370)  all_10_17 = all_4_21
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_8_44, all_10_10, e1, e3,
% 71.81/10.55  |              simplifying with (225), (273) gives:
% 71.81/10.55  |   (371)  all_10_10 = all_8_44
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_6_8, all_10_10, e1, e3,
% 71.81/10.55  |              simplifying with (159), (273) gives:
% 71.81/10.55  |   (372)  all_10_10 = all_6_8
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_4_16, all_10_10, e1, e3,
% 71.81/10.55  |              simplifying with (133), (273) gives:
% 71.81/10.55  |   (373)  all_10_10 = all_4_16
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_4_11, all_8_31, e2, e3,
% 71.81/10.55  |              simplifying with (134), (226) gives:
% 71.81/10.55  |   (374)  all_8_31 = all_4_11
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_8_31, all_10_5, e2, e3,
% 71.81/10.55  |              simplifying with (226), (274) gives:
% 71.81/10.55  |   (375)  all_10_5 = all_8_31
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_6_7, all_10_5, e2, e3,
% 71.81/10.55  |              simplifying with (160), (274) gives:
% 71.81/10.55  |   (376)  all_10_5 = all_6_7
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_6_6, all_8_66, e3, e3,
% 71.81/10.55  |              simplifying with (161), (227) gives:
% 71.81/10.55  |   (377)  all_8_66 = all_6_6
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_8_66, all_10_3, e3, e3,
% 71.81/10.55  |              simplifying with (227), (275) gives:
% 71.81/10.55  |   (378)  all_10_3 = all_8_66
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_4_6, all_10_3, e3, e3,
% 71.81/10.55  |              simplifying with (135), (275) gives:
% 71.81/10.55  |   (379)  all_10_3 = all_4_6
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_6_5, all_8_3, e4, e3,
% 71.81/10.55  |              simplifying with (162), (228) gives:
% 71.81/10.55  |   (380)  all_8_3 = all_6_5
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_8_3, all_10_2, e4, e3,
% 71.81/10.55  |              simplifying with (228), (276) gives:
% 71.81/10.55  |   (381)  all_10_2 = all_8_3
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_4_1, all_10_2, e4, e3,
% 71.81/10.55  |              simplifying with (136), (276) gives:
% 71.81/10.55  |   (382)  all_10_2 = all_4_1
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_6_4, all_8_54, e0, e4,
% 71.81/10.55  |              simplifying with (163), (236) gives:
% 71.81/10.55  |   (383)  all_8_54 = all_6_4
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_8_54, all_10_16, e0, e4,
% 71.81/10.55  |              simplifying with (236), (277) gives:
% 71.81/10.55  |   (384)  all_10_16 = all_8_54
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_4_20, all_10_16, e0, e4,
% 71.81/10.55  |              simplifying with (137), (277) gives:
% 71.81/10.55  |   (385)  all_10_16 = all_4_20
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_6_3, all_8_41, e1, e4,
% 71.81/10.55  |              simplifying with (164), (237) gives:
% 71.81/10.55  |   (386)  all_8_41 = all_6_3
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_8_41, all_10_9, e1, e4,
% 71.81/10.55  |              simplifying with (237), (278) gives:
% 71.81/10.55  |   (387)  all_10_9 = all_8_41
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_4_15, all_10_9, e1, e4,
% 71.81/10.55  |              simplifying with (138), (278) gives:
% 71.81/10.55  |   (388)  all_10_9 = all_4_15
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_8_28, all_10_4, e2, e4,
% 71.81/10.55  |              simplifying with (238), (279) gives:
% 71.81/10.55  |   (389)  all_10_4 = all_8_28
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_6_2, all_10_4, e2, e4,
% 71.81/10.55  |              simplifying with (165), (279) gives:
% 71.81/10.55  |   (390)  all_10_4 = all_6_2
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_4_10, all_10_4, e2, e4,
% 71.81/10.55  |              simplifying with (139), (279) gives:
% 71.81/10.55  |   (391)  all_10_4 = all_4_10
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_6_1, all_8_15, e3, e4,
% 71.81/10.55  |              simplifying with (166), (239) gives:
% 71.81/10.55  |   (392)  all_8_15 = all_6_1
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_8_15, all_10_1, e3, e4,
% 71.81/10.55  |              simplifying with (239), (280) gives:
% 71.81/10.55  |   (393)  all_10_1 = all_8_15
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_4_5, all_10_1, e3, e4,
% 71.81/10.55  |              simplifying with (140), (280) gives:
% 71.81/10.55  |   (394)  all_10_1 = all_4_5
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_4_0, all_6_0, e4, e4,
% 71.81/10.55  |              simplifying with (141), (167) gives:
% 71.81/10.55  |   (395)  all_6_0 = all_4_0
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_6_0, all_8_65, e4, e4,
% 71.81/10.55  |              simplifying with (167), (240) gives:
% 71.81/10.55  |   (396)  all_8_65 = all_6_0
% 71.81/10.55  | 
% 71.81/10.55  | GROUND_INST: instantiating (function-axioms) with all_8_65, all_10_0, e4, e4,
% 71.81/10.55  |              simplifying with (240), (281) gives:
% 71.81/10.56  |   (397)  all_10_0 = all_8_65
% 71.81/10.56  | 
% 71.81/10.56  | GROUND_INST: instantiating (function-axioms) with e2, all_10_0, e4, e4,
% 71.81/10.56  |              simplifying with (15), (281) gives:
% 71.81/10.56  |   (398)  all_10_0 = e2
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (397), (398) imply:
% 71.81/10.56  |   (399)  all_8_65 = e2
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (399) implies:
% 71.81/10.56  |   (400)  all_8_65 = e2
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (393), (394) imply:
% 71.81/10.56  |   (401)  all_8_15 = all_4_5
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (401) implies:
% 71.81/10.56  |   (402)  all_8_15 = all_4_5
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (381), (382) imply:
% 71.81/10.56  |   (403)  all_8_3 = all_4_1
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (403) implies:
% 71.81/10.56  |   (404)  all_8_3 = all_4_1
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (378), (379) imply:
% 71.81/10.56  |   (405)  all_8_66 = all_4_6
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (405) implies:
% 71.81/10.56  |   (406)  all_8_66 = all_4_6
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (389), (391) imply:
% 71.81/10.56  |   (407)  all_8_28 = all_4_10
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (389), (390) imply:
% 71.81/10.56  |   (408)  all_8_28 = all_6_2
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (375), (376) imply:
% 71.81/10.56  |   (409)  all_8_31 = all_6_7
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (409) implies:
% 71.81/10.56  |   (410)  all_8_31 = all_6_7
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (365), (367) imply:
% 71.81/10.56  |   (411)  all_8_6 = all_4_2
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (365), (366) imply:
% 71.81/10.56  |   (412)  all_8_6 = all_6_10
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (363), (364) imply:
% 71.81/10.56  |   (413)  all_8_19 = all_6_11
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (413) implies:
% 71.81/10.56  |   (414)  all_8_19 = all_6_11
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (360), (361) imply:
% 71.81/10.56  |   (415)  all_8_67 = e3
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (415) implies:
% 71.81/10.56  |   (416)  all_8_67 = e3
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (387), (388) imply:
% 71.81/10.56  |   (417)  all_8_41 = all_4_15
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (417) implies:
% 71.81/10.56  |   (418)  all_8_41 = all_4_15
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (371), (373) imply:
% 71.81/10.56  |   (419)  all_8_44 = all_4_16
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (371), (372) imply:
% 71.81/10.56  |   (420)  all_8_44 = all_6_8
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (356), (357) imply:
% 71.81/10.56  |   (421)  all_8_47 = all_4_17
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (421) implies:
% 71.81/10.56  |   (422)  all_8_47 = all_4_17
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (350), (351) imply:
% 71.81/10.56  |   (423)  all_8_9 = all_4_3
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (423) implies:
% 71.81/10.56  |   (424)  all_8_9 = all_4_3
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (347), (348) imply:
% 71.81/10.56  |   (425)  all_8_22 = all_4_8
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (425) implies:
% 71.81/10.56  |   (426)  all_8_22 = all_4_8
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (344), (345) imply:
% 71.81/10.56  |   (427)  all_6_17 = e0
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (427) implies:
% 71.81/10.56  |   (428)  all_6_17 = e0
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (340), (341) imply:
% 71.81/10.56  |   (429)  all_8_68 = all_6_18
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (429) implies:
% 71.81/10.56  |   (430)  all_8_68 = all_6_18
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (384), (385) imply:
% 71.81/10.56  |   (431)  all_8_54 = all_4_20
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (431) implies:
% 71.81/10.56  |   (432)  all_8_54 = all_4_20
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (369), (370) imply:
% 71.81/10.56  |   (433)  all_8_57 = all_4_21
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (433) implies:
% 71.81/10.56  |   (434)  all_8_57 = all_4_21
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (353), (354) imply:
% 71.81/10.56  |   (435)  all_8_60 = all_6_14
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (435) implies:
% 71.81/10.56  |   (436)  all_8_60 = all_6_14
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (336), (337) imply:
% 71.81/10.56  |   (437)  all_8_63 = all_4_23
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (437) implies:
% 71.81/10.56  |   (438)  all_8_63 = all_4_23
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (332), (334) imply:
% 71.81/10.56  |   (439)  all_8_12 = all_4_4
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (332), (333) imply:
% 71.81/10.56  |   (440)  all_8_12 = all_6_20
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (330), (331) imply:
% 71.81/10.56  |   (441)  all_8_25 = all_4_9
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (441) implies:
% 71.81/10.56  |   (442)  all_8_25 = all_4_9
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (326), (328) imply:
% 71.81/10.56  |   (443)  all_8_38 = all_4_14
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (326), (327) imply:
% 71.81/10.56  |   (444)  all_8_38 = all_6_22
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (323), (325) imply:
% 71.81/10.56  |   (445)  all_8_51 = all_4_19
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (323), (324) imply:
% 71.81/10.56  |   (446)  all_8_51 = all_6_23
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (321), (322) imply:
% 71.81/10.56  |   (447)  all_8_69 = all_4_24
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (447) implies:
% 71.81/10.56  |   (448)  all_8_69 = all_4_24
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (380), (404) imply:
% 71.81/10.56  |   (449)  all_6_5 = all_4_1
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (449) implies:
% 71.81/10.56  |   (450)  all_6_5 = all_4_1
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (411), (412) imply:
% 71.81/10.56  |   (451)  all_6_10 = all_4_2
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (349), (424) imply:
% 71.81/10.56  |   (452)  all_6_15 = all_4_3
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (439), (440) imply:
% 71.81/10.56  |   (453)  all_6_20 = all_4_4
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (392), (402) imply:
% 71.81/10.56  |   (454)  all_6_1 = all_4_5
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (362), (414) imply:
% 71.81/10.56  |   (455)  all_6_11 = all_4_7
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (455) implies:
% 71.81/10.56  |   (456)  all_6_11 = all_4_7
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (346), (426) imply:
% 71.81/10.56  |   (457)  all_6_16 = all_4_8
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (457) implies:
% 71.81/10.56  |   (458)  all_6_16 = all_4_8
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (329), (442) imply:
% 71.81/10.56  |   (459)  all_6_21 = all_4_9
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (459) implies:
% 71.81/10.56  |   (460)  all_6_21 = all_4_9
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (407), (408) imply:
% 71.81/10.56  |   (461)  all_6_2 = all_4_10
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (374), (410) imply:
% 71.81/10.56  |   (462)  all_6_7 = all_4_11
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (342), (343) imply:
% 71.81/10.56  |   (463)  all_6_17 = all_4_13
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (463) implies:
% 71.81/10.56  |   (464)  all_6_17 = all_4_13
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (443), (444) imply:
% 71.81/10.56  |   (465)  all_6_22 = all_4_14
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (465) implies:
% 71.81/10.56  |   (466)  all_6_22 = all_4_14
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (386), (418) imply:
% 71.81/10.56  |   (467)  all_6_3 = all_4_15
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (467) implies:
% 71.81/10.56  |   (468)  all_6_3 = all_4_15
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (419), (420) imply:
% 71.81/10.56  |   (469)  all_6_8 = all_4_16
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (355), (422) imply:
% 71.81/10.56  |   (470)  all_6_13 = all_4_17
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (445), (446) imply:
% 71.81/10.56  |   (471)  all_6_23 = all_4_19
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (471) implies:
% 71.81/10.56  |   (472)  all_6_23 = all_4_19
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (383), (432) imply:
% 71.81/10.56  |   (473)  all_6_4 = all_4_20
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (473) implies:
% 71.81/10.56  |   (474)  all_6_4 = all_4_20
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (368), (434) imply:
% 71.81/10.56  |   (475)  all_6_9 = all_4_21
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (352), (436) imply:
% 71.81/10.56  |   (476)  all_6_14 = all_4_22
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (476) implies:
% 71.81/10.56  |   (477)  all_6_14 = all_4_22
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (335), (438) imply:
% 71.81/10.56  |   (478)  all_6_19 = all_4_23
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (478) implies:
% 71.81/10.56  |   (479)  all_6_19 = all_4_23
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (396), (400) imply:
% 71.81/10.56  |   (480)  all_6_0 = e2
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (480) implies:
% 71.81/10.56  |   (481)  all_6_0 = e2
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (377), (406) imply:
% 71.81/10.56  |   (482)  all_6_6 = all_4_6
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (359), (416) imply:
% 71.81/10.56  |   (483)  all_6_12 = e3
% 71.81/10.56  | 
% 71.81/10.56  | SIMP: (483) implies:
% 71.81/10.56  |   (484)  all_6_12 = e3
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (339), (430) imply:
% 71.81/10.56  |   (485)  all_6_18 = e4
% 71.81/10.56  | 
% 71.81/10.56  | COMBINE_EQS: (338), (430) imply:
% 71.81/10.57  |   (486)  all_6_18 = all_4_18
% 71.81/10.57  | 
% 71.81/10.57  | COMBINE_EQS: (320), (448) imply:
% 71.81/10.57  |   (487)  all_6_24 = all_4_24
% 71.81/10.57  | 
% 71.81/10.57  | COMBINE_EQS: (395), (481) imply:
% 71.81/10.57  |   (488)  all_4_0 = e2
% 71.81/10.57  | 
% 71.81/10.57  | SIMP: (488) implies:
% 71.81/10.57  |   (489)  all_4_0 = e2
% 71.81/10.57  | 
% 71.81/10.57  | COMBINE_EQS: (358), (484) imply:
% 71.81/10.57  |   (490)  all_4_12 = e3
% 71.81/10.57  | 
% 71.81/10.57  | SIMP: (490) implies:
% 71.81/10.57  |   (491)  all_4_12 = e3
% 71.81/10.57  | 
% 71.81/10.57  | COMBINE_EQS: (428), (464) imply:
% 71.81/10.57  |   (492)  all_4_13 = e0
% 71.81/10.57  | 
% 71.81/10.57  | COMBINE_EQS: (485), (486) imply:
% 71.81/10.57  |   (493)  all_4_18 = e4
% 71.81/10.57  | 
% 71.81/10.57  | COMBINE_EQS: (343), (492) imply:
% 71.81/10.57  |   (494)  all_8_35 = e0
% 71.81/10.57  | 
% 71.81/10.57  | COMBINE_EQS: (354), (477) imply:
% 71.81/10.57  |   (495)  all_10_18 = all_4_22
% 71.81/10.57  | 
% 71.81/10.57  | COMBINE_EQS: (341), (485) imply:
% 71.81/10.57  |   (496)  all_10_15 = e4
% 71.81/10.57  | 
% 71.81/10.57  | COMBINE_EQS: (364), (456) imply:
% 71.81/10.57  |   (497)  all_10_7 = all_4_7
% 71.81/10.57  | 
% 71.81/10.57  | COMBINE_EQS: (376), (462) imply:
% 71.81/10.57  |   (498)  all_10_5 = all_4_11
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (116), (489) imply:
% 71.81/10.57  |   (499)   ~ (all_4_1 = e2)
% 71.81/10.57  | 
% 71.81/10.57  | SIMP: (499) implies:
% 71.81/10.57  |   (500)   ~ (all_4_1 = e2)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (115), (489) imply:
% 71.81/10.57  |   (501)   ~ (all_4_2 = e2)
% 71.81/10.57  | 
% 71.81/10.57  | SIMP: (501) implies:
% 71.81/10.57  |   (502)   ~ (all_4_2 = e2)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (114), (489) imply:
% 71.81/10.57  |   (503)   ~ (all_4_3 = e2)
% 71.81/10.57  | 
% 71.81/10.57  | SIMP: (503) implies:
% 71.81/10.57  |   (504)   ~ (all_4_3 = e2)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (113), (489) imply:
% 71.81/10.57  |   (505)   ~ (all_4_4 = e2)
% 71.81/10.57  | 
% 71.81/10.57  | SIMP: (505) implies:
% 71.81/10.57  |   (506)   ~ (all_4_4 = e2)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (112), (489) imply:
% 71.81/10.57  |   (507)   ~ (all_4_5 = e2)
% 71.81/10.57  | 
% 71.81/10.57  | SIMP: (507) implies:
% 71.81/10.57  |   (508)   ~ (all_4_5 = e2)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (111), (489) imply:
% 71.81/10.57  |   (509)   ~ (all_4_10 = e2)
% 71.81/10.57  | 
% 71.81/10.57  | SIMP: (509) implies:
% 71.81/10.57  |   (510)   ~ (all_4_10 = e2)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (110), (489) imply:
% 71.81/10.57  |   (511)   ~ (all_4_15 = e2)
% 71.81/10.57  | 
% 71.81/10.57  | SIMP: (511) implies:
% 71.81/10.57  |   (512)   ~ (all_4_15 = e2)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (109), (489) imply:
% 71.81/10.57  |   (513)   ~ (all_4_20 = e2)
% 71.81/10.57  | 
% 71.81/10.57  | SIMP: (513) implies:
% 71.81/10.57  |   (514)   ~ (all_4_20 = e2)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (98), (491) imply:
% 71.81/10.57  |   (515)   ~ (all_4_2 = e3)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (93), (492) imply:
% 71.81/10.57  |   (516)   ~ (all_4_3 = e0)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (92), (493) imply:
% 71.81/10.57  |   (517)   ~ (all_4_3 = e4)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (71), (491) imply:
% 71.81/10.57  |   (518)   ~ (all_4_7 = e3)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (67), (492) imply:
% 71.81/10.57  |   (519)   ~ (all_4_8 = e0)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (66), (493) imply:
% 71.81/10.57  |   (520)   ~ (all_4_8 = e4)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (60), (491) imply:
% 71.81/10.57  |   (521)   ~ (all_4_10 = e3)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (59), (492) imply:
% 71.81/10.57  |   (522)   ~ (all_4_10 = e0)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (55), (491) imply:
% 71.81/10.57  |   (523)   ~ (all_4_11 = e3)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (54), (492) imply:
% 71.81/10.57  |   (524)   ~ (all_4_11 = e0)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (50), (491), (492) imply:
% 71.81/10.57  |   (525)   ~ (e3 = e0)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (49), (491) imply:
% 71.81/10.57  |   (526)   ~ (all_4_14 = e3)
% 71.81/10.57  | 
% 71.81/10.57  | SIMP: (526) implies:
% 71.81/10.57  |   (527)   ~ (all_4_14 = e3)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (48), (491) imply:
% 71.81/10.57  |   (528)   ~ (all_4_17 = e3)
% 71.81/10.57  | 
% 71.81/10.57  | SIMP: (528) implies:
% 71.81/10.57  |   (529)   ~ (all_4_17 = e3)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (47), (491) imply:
% 71.81/10.57  |   (530)   ~ (all_4_22 = e3)
% 71.81/10.57  | 
% 71.81/10.57  | SIMP: (530) implies:
% 71.81/10.57  |   (531)   ~ (all_4_22 = e3)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (46), (492) imply:
% 71.81/10.57  |   (532)   ~ (all_4_14 = e0)
% 71.81/10.57  | 
% 71.81/10.57  | SIMP: (532) implies:
% 71.81/10.57  |   (533)   ~ (all_4_14 = e0)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (45), (492), (493) imply:
% 71.81/10.57  |   (534)   ~ (e4 = e0)
% 71.81/10.57  | 
% 71.81/10.57  | SIMP: (534) implies:
% 71.81/10.57  |   (535)   ~ (e4 = e0)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (44), (492) imply:
% 71.81/10.57  |   (536)   ~ (all_4_23 = e0)
% 71.81/10.57  | 
% 71.81/10.57  | SIMP: (536) implies:
% 71.81/10.57  |   (537)   ~ (all_4_23 = e0)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (40), (493) imply:
% 71.81/10.57  |   (538)   ~ (all_4_15 = e4)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (36), (493) imply:
% 71.81/10.57  |   (539)   ~ (all_4_16 = e4)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (33), (493) imply:
% 71.81/10.57  |   (540)   ~ (all_4_17 = e4)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (30), (493) imply:
% 71.81/10.57  |   (541)   ~ (all_4_19 = e4)
% 71.81/10.57  | 
% 71.81/10.57  | SIMP: (541) implies:
% 71.81/10.57  |   (542)   ~ (all_4_19 = e4)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (29), (493) imply:
% 71.81/10.57  |   (543)   ~ (all_4_23 = e4)
% 71.81/10.57  | 
% 71.81/10.57  | SIMP: (543) implies:
% 71.81/10.57  |   (544)   ~ (all_4_23 = e4)
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (248), (404) imply:
% 71.81/10.57  |   (545)  op(e4, all_4_1) = all_8_1
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (247), (411) imply:
% 71.81/10.57  |   (546)  op(e4, all_4_2) = all_8_4
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (246), (424) imply:
% 71.81/10.57  |   (547)  op(e4, all_4_3) = all_8_7
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (245), (439) imply:
% 71.81/10.57  |   (548)  op(e4, all_4_4) = all_8_10
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (244), (402) imply:
% 71.81/10.57  |   (549)  op(e4, all_4_5) = all_8_14
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (243), (407) imply:
% 71.81/10.57  |   (550)  op(e4, all_4_10) = all_8_27
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (242), (418) imply:
% 71.81/10.57  |   (551)  op(e4, all_4_15) = all_8_40
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (241), (432) imply:
% 71.81/10.57  |   (552)  op(e4, all_4_20) = all_8_53
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (235), (404) imply:
% 71.81/10.57  |   (553)  op(e3, all_4_1) = all_8_2
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (234), (402) imply:
% 71.81/10.57  |   (554)  op(e3, all_4_5) = all_8_13
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (233), (362) imply:
% 71.81/10.57  |   (555)  op(e3, all_4_7) = all_8_17
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (232), (426) imply:
% 71.81/10.57  |   (556)  op(e3, all_4_8) = all_8_20
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (231), (442) imply:
% 71.81/10.57  |   (557)  op(e3, all_4_9) = all_8_23
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (230), (374) imply:
% 71.81/10.57  |   (558)  op(e3, all_4_11) = all_8_30
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (229), (419) imply:
% 71.81/10.57  |   (559)  op(e3, all_4_16) = all_8_43
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (223), (411) imply:
% 71.81/10.57  |   (560)  op(e2, all_4_2) = all_8_5
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (222), (362) imply:
% 71.81/10.57  |   (561)  op(e2, all_4_7) = all_8_18
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (221), (407) imply:
% 71.81/10.57  |   (562)  op(e2, all_4_10) = all_8_26
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (220), (374) imply:
% 71.81/10.57  |   (563)  op(e2, all_4_11) = all_8_29
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (219), (494) imply:
% 71.81/10.57  |   (564)  op(e2, e0) = all_8_33
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (218), (443) imply:
% 71.81/10.57  |   (565)  op(e2, all_4_14) = all_8_36
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (217), (422) imply:
% 71.81/10.57  |   (566)  op(e2, all_4_17) = all_8_46
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (216), (352) imply:
% 71.81/10.57  |   (567)  op(e2, all_4_22) = all_8_59
% 71.81/10.57  | 
% 71.81/10.57  | REDUCE: (210), (424) imply:
% 71.81/10.57  |   (568)  op(e1, all_4_3) = all_8_8
% 71.81/10.57  | 
% 71.81/10.58  | REDUCE: (209), (426) imply:
% 71.81/10.58  |   (569)  op(e1, all_4_8) = all_8_21
% 71.81/10.58  | 
% 71.81/10.58  | REDUCE: (208), (494) imply:
% 71.81/10.58  |   (570)  op(e1, e0) = all_8_34
% 71.81/10.58  | 
% 71.81/10.58  | REDUCE: (207), (418) imply:
% 71.81/10.58  |   (571)  op(e1, all_4_15) = all_8_39
% 71.81/10.58  | 
% 71.81/10.58  | REDUCE: (206), (419) imply:
% 71.81/10.58  |   (572)  op(e1, all_4_16) = all_8_42
% 71.81/10.58  | 
% 71.81/10.58  | REDUCE: (205), (422) imply:
% 71.81/10.58  |   (573)  op(e1, all_4_17) = all_8_45
% 71.81/10.58  | 
% 71.81/10.58  | REDUCE: (204), (445) imply:
% 71.81/10.58  |   (574)  op(e1, all_4_19) = all_8_49
% 71.81/10.58  | 
% 71.81/10.58  | REDUCE: (203), (438) imply:
% 71.81/10.58  |   (575)  op(e1, all_4_23) = all_8_62
% 71.81/10.58  | 
% 71.81/10.58  | REDUCE: (197), (439) imply:
% 71.81/10.58  |   (576)  op(e0, all_4_4) = all_8_11
% 71.81/10.58  | 
% 71.81/10.58  | REDUCE: (196), (443) imply:
% 71.81/10.58  |   (577)  op(e0, all_4_14) = all_8_37
% 71.81/10.58  | 
% 71.81/10.58  | REDUCE: (195), (445) imply:
% 71.81/10.58  |   (578)  op(e0, all_4_19) = all_8_50
% 71.81/10.58  | 
% 71.81/10.58  | REDUCE: (194), (432) imply:
% 71.81/10.58  |   (579)  op(e0, all_4_20) = all_8_52
% 71.81/10.58  | 
% 71.81/10.58  | REDUCE: (193), (434) imply:
% 71.81/10.58  |   (580)  op(e0, all_4_21) = all_8_55
% 71.81/10.58  | 
% 71.81/10.58  | REDUCE: (192), (352) imply:
% 71.81/10.58  |   (581)  op(e0, all_4_22) = all_8_58
% 71.81/10.58  | 
% 71.81/10.58  | REDUCE: (191), (438) imply:
% 71.81/10.58  |   (582)  op(e0, all_4_23) = all_8_61
% 71.81/10.58  | 
% 71.81/10.58  | GROUND_INST: instantiating (function-axioms) with all_4_23, all_8_34, e0, e1,
% 71.81/10.58  |              simplifying with (122), (570) gives:
% 71.81/10.58  |   (583)  all_8_34 = all_4_23
% 71.81/10.58  | 
% 71.81/10.58  | GROUND_INST: instantiating (function-axioms) with all_4_22, all_8_33, e0, e2,
% 71.81/10.58  |              simplifying with (127), (564) gives:
% 71.81/10.58  |   (584)  all_8_33 = all_4_22
% 71.81/10.58  | 
% 71.81/10.58  | BETA: splitting (282) gives:
% 71.81/10.58  | 
% 71.81/10.58  | Case 1:
% 71.81/10.58  | | 
% 71.81/10.58  | |   (585)  all_10_24 = e0
% 71.81/10.58  | | 
% 71.81/10.58  | | COMBINE_EQS: (322), (585) imply:
% 71.81/10.58  | |   (586)  all_4_24 = e0
% 71.81/10.58  | | 
% 71.81/10.58  | | COMBINE_EQS: (448), (586) imply:
% 71.81/10.58  | |   (587)  all_8_69 = e0
% 71.81/10.58  | | 
% 71.81/10.58  | | REDUCE: (87), (586) imply:
% 71.81/10.58  | |   (588)   ~ (all_4_4 = e0)
% 71.81/10.58  | | 
% 71.81/10.58  | | REDUCE: (62), (586) imply:
% 71.81/10.58  | |   (589)   ~ (all_4_9 = e0)
% 71.81/10.58  | | 
% 71.81/10.58  | | REDUCE: (28), (586) imply:
% 71.81/10.58  | |   (590)   ~ (all_4_19 = e0)
% 71.81/10.58  | | 
% 71.81/10.58  | | REDUCE: (24), (586) imply:
% 71.81/10.58  | |   (591)   ~ (all_4_20 = e0)
% 71.81/10.58  | | 
% 71.81/10.58  | | REDUCE: (21), (586) imply:
% 71.81/10.58  | |   (592)   ~ (all_4_21 = e0)
% 71.81/10.58  | | 
% 71.81/10.58  | | REDUCE: (19), (586) imply:
% 71.81/10.58  | |   (593)   ~ (all_4_22 = e0)
% 71.81/10.58  | | 
% 71.81/10.58  | | BETA: splitting (255) gives:
% 71.81/10.58  | | 
% 71.81/10.58  | | Case 1:
% 71.81/10.58  | | | 
% 71.81/10.58  | | |   (594)  all_8_65 = e1
% 71.81/10.58  | | | 
% 71.81/10.58  | | | REF_CLOSE: (6), (400), (594) are inconsistent by sub-proof #170.
% 71.81/10.58  | | | 
% 71.81/10.58  | | Case 2:
% 71.81/10.58  | | | 
% 71.81/10.58  | | |   (595)   ~ (all_8_65 = e1)
% 71.81/10.58  | | |   (596)  all_8_66 = e1 | all_8_67 = e1 | all_8_68 = e1 | all_8_69 = e1
% 71.81/10.58  | | | 
% 71.81/10.58  | | | BETA: splitting (596) gives:
% 71.81/10.58  | | | 
% 71.81/10.58  | | | Case 1:
% 71.81/10.58  | | | | 
% 71.81/10.58  | | | |   (597)  all_8_66 = e1
% 71.81/10.58  | | | | 
% 71.81/10.58  | | | | COMBINE_EQS: (406), (597) imply:
% 71.81/10.58  | | | |   (598)  all_4_6 = e1
% 71.81/10.58  | | | | 
% 71.81/10.58  | | | | SIMP: (598) implies:
% 71.81/10.58  | | | |   (599)  all_4_6 = e1
% 71.81/10.58  | | | | 
% 71.81/10.58  | | | | COMBINE_EQS: (379), (599) imply:
% 71.81/10.58  | | | |   (600)  all_10_3 = e1
% 71.81/10.58  | | | | 
% 71.81/10.58  | | | | REDUCE: (86), (599) imply:
% 71.81/10.58  | | | |   (601)   ~ (all_4_5 = e1)
% 71.81/10.58  | | | | 
% 71.81/10.58  | | | | REDUCE: (79), (599) imply:
% 71.81/10.58  | | | |   (602)   ~ (all_4_7 = e1)
% 71.81/10.58  | | | | 
% 71.81/10.58  | | | | SIMP: (602) implies:
% 71.81/10.58  | | | |   (603)   ~ (all_4_7 = e1)
% 71.81/10.58  | | | | 
% 71.81/10.58  | | | | REDUCE: (78), (599) imply:
% 71.81/10.58  | | | |   (604)   ~ (all_4_8 = e1)
% 71.81/10.58  | | | | 
% 71.81/10.58  | | | | SIMP: (604) implies:
% 71.81/10.58  | | | |   (605)   ~ (all_4_8 = e1)
% 71.81/10.58  | | | | 
% 71.81/10.58  | | | | REDUCE: (77), (599) imply:
% 71.81/10.58  | | | |   (606)   ~ (all_4_9 = e1)
% 71.81/10.58  | | | | 
% 71.81/10.58  | | | | SIMP: (606) implies:
% 71.81/10.58  | | | |   (607)   ~ (all_4_9 = e1)
% 71.81/10.58  | | | | 
% 71.81/10.58  | | | | REDUCE: (76), (599) imply:
% 71.81/10.58  | | | |   (608)   ~ (all_4_11 = e1)
% 71.81/10.58  | | | | 
% 71.81/10.58  | | | | SIMP: (608) implies:
% 71.81/10.58  | | | |   (609)   ~ (all_4_11 = e1)
% 71.81/10.58  | | | | 
% 71.81/10.58  | | | | REDUCE: (75), (599) imply:
% 71.81/10.58  | | | |   (610)   ~ (all_4_16 = e1)
% 71.81/10.58  | | | | 
% 71.81/10.58  | | | | SIMP: (610) implies:
% 71.81/10.58  | | | |   (611)   ~ (all_4_16 = e1)
% 71.81/10.58  | | | | 
% 71.81/10.58  | | | | REDUCE: (74), (599) imply:
% 71.81/10.58  | | | |   (612)   ~ (all_4_21 = e1)
% 71.81/10.58  | | | | 
% 71.81/10.58  | | | | SIMP: (612) implies:
% 71.81/10.58  | | | |   (613)   ~ (all_4_21 = e1)
% 71.81/10.58  | | | | 
% 71.81/10.58  | | | | BETA: splitting (173) gives:
% 71.81/10.58  | | | | 
% 71.81/10.58  | | | | Case 1:
% 71.81/10.58  | | | | | 
% 71.81/10.58  | | | | |   (614)  all_6_15 = e2
% 71.81/10.58  | | | | | 
% 71.81/10.58  | | | | | REF_CLOSE: (452), (504), (614) are inconsistent by sub-proof #169.
% 71.81/10.58  | | | | | 
% 71.81/10.58  | | | | Case 2:
% 71.81/10.58  | | | | | 
% 71.81/10.58  | | | | |   (615)   ~ (all_6_15 = e2)
% 71.81/10.58  | | | | |   (616)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e1 | all_6_15 = e0
% 71.81/10.58  | | | | | 
% 71.81/10.58  | | | | | BETA: splitting (172) gives:
% 71.81/10.58  | | | | | 
% 71.81/10.58  | | | | | Case 1:
% 71.81/10.58  | | | | | | 
% 71.81/10.58  | | | | | |   (617)  all_6_16 = e2
% 71.81/10.58  | | | | | | 
% 71.81/10.58  | | | | | | COMBINE_EQS: (458), (617) imply:
% 71.81/10.58  | | | | | |   (618)  all_4_8 = e2
% 71.81/10.58  | | | | | | 
% 71.81/10.58  | | | | | | SIMP: (618) implies:
% 71.81/10.58  | | | | | |   (619)  all_4_8 = e2
% 71.81/10.58  | | | | | | 
% 71.81/10.58  | | | | | | REDUCE: (73), (619) imply:
% 71.81/10.58  | | | | | |   (620)   ~ (all_4_7 = e2)
% 71.81/10.58  | | | | | | 
% 71.81/10.58  | | | | | | REDUCE: (68), (619) imply:
% 71.81/10.58  | | | | | |   (621)   ~ (all_4_9 = e2)
% 71.81/10.58  | | | | | | 
% 71.81/10.58  | | | | | | SIMP: (621) implies:
% 71.81/10.58  | | | | | |   (622)   ~ (all_4_9 = e2)
% 71.81/10.58  | | | | | | 
% 71.81/10.58  | | | | | | REDUCE: (65), (619) imply:
% 71.81/10.58  | | | | | |   (623)   ~ (all_4_23 = e2)
% 71.81/10.58  | | | | | | 
% 71.81/10.58  | | | | | | SIMP: (623) implies:
% 71.81/10.58  | | | | | |   (624)   ~ (all_4_23 = e2)
% 71.81/10.58  | | | | | | 
% 71.81/10.58  | | | | | | REDUCE: (556), (619) imply:
% 71.81/10.58  | | | | | |   (625)  op(e3, e2) = all_8_20
% 71.81/10.58  | | | | | | 
% 71.81/10.58  | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_11,
% 71.81/10.58  | | | | | |              all_8_20, e2, e3, simplifying with (134), (625) gives:
% 71.81/10.58  | | | | | |   (626)  all_8_20 = all_4_11
% 71.81/10.58  | | | | | | 
% 71.81/10.58  | | | | | | BETA: splitting (179) gives:
% 71.81/10.58  | | | | | | 
% 71.81/10.58  | | | | | | Case 1:
% 71.81/10.58  | | | | | | | 
% 71.81/10.58  | | | | | | |   (627)  all_6_7 = e2
% 71.81/10.58  | | | | | | | 
% 71.81/10.58  | | | | | | | COMBINE_EQS: (462), (627) imply:
% 71.81/10.58  | | | | | | |   (628)  all_4_11 = e2
% 71.81/10.58  | | | | | | | 
% 71.81/10.58  | | | | | | | SIMP: (628) implies:
% 71.81/10.58  | | | | | | |   (629)  all_4_11 = e2
% 71.81/10.58  | | | | | | | 
% 71.81/10.58  | | | | | | | COMBINE_EQS: (498), (629) imply:
% 71.81/10.58  | | | | | | |   (630)  all_10_5 = e2
% 71.81/10.58  | | | | | | | 
% 71.81/10.58  | | | | | | | REDUCE: (53), (629) imply:
% 71.81/10.58  | | | | | | |   (631)   ~ (all_4_14 = e2)
% 71.81/10.58  | | | | | | | 
% 71.81/10.58  | | | | | | | SIMP: (631) implies:
% 71.81/10.58  | | | | | | |   (632)   ~ (all_4_14 = e2)
% 71.81/10.58  | | | | | | | 
% 71.81/10.58  | | | | | | | REDUCE: (51), (629) imply:
% 71.81/10.58  | | | | | | |   (633)   ~ (all_4_21 = e2)
% 71.81/10.58  | | | | | | | 
% 71.81/10.58  | | | | | | | SIMP: (633) implies:
% 71.81/10.58  | | | | | | |   (634)   ~ (all_4_21 = e2)
% 71.81/10.58  | | | | | | | 
% 71.81/10.58  | | | | | | | REDUCE: (558), (629) imply:
% 71.81/10.58  | | | | | | |   (635)  op(e3, e2) = all_8_30
% 71.81/10.58  | | | | | | | 
% 71.81/10.58  | | | | | | | REDUCE: (134), (629) imply:
% 71.81/10.58  | | | | | | |   (636)  op(e3, e2) = e2
% 71.81/10.58  | | | | | | | 
% 71.81/10.58  | | | | | | | BETA: splitting (284) gives:
% 71.81/10.58  | | | | | | | 
% 71.81/10.58  | | | | | | | Case 1:
% 71.81/10.58  | | | | | | | | 
% 71.81/10.58  | | | | | | | |   (637)  all_10_20 = e2
% 71.81/10.58  | | | | | | | | 
% 71.81/10.58  | | | | | | | | COMBINE_EQS: (334), (637) imply:
% 71.81/10.58  | | | | | | | |   (638)  all_4_4 = e2
% 71.81/10.58  | | | | | | | | 
% 71.81/10.58  | | | | | | | | REDUCE: (506), (638) imply:
% 71.81/10.59  | | | | | | | |   (639)  $false
% 71.81/10.59  | | | | | | | | 
% 71.81/10.59  | | | | | | | | CLOSE: (639) is inconsistent.
% 71.81/10.59  | | | | | | | | 
% 71.81/10.59  | | | | | | | Case 2:
% 71.81/10.59  | | | | | | | | 
% 71.81/10.59  | | | | | | | |   (640)  all_10_21 = e2 | all_10_22 = e2 | all_10_23 = e2 |
% 71.81/10.59  | | | | | | | |          all_10_24 = e2
% 71.81/10.59  | | | | | | | | 
% 71.81/10.59  | | | | | | | | BETA: splitting (640) gives:
% 71.81/10.59  | | | | | | | | 
% 71.81/10.59  | | | | | | | | Case 1:
% 71.81/10.59  | | | | | | | | | 
% 71.81/10.59  | | | | | | | | |   (641)  all_10_21 = e2
% 71.81/10.59  | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | COMBINE_EQS: (331), (641) imply:
% 71.81/10.59  | | | | | | | | |   (642)  all_4_9 = e2
% 71.81/10.59  | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | REDUCE: (622), (642) imply:
% 71.81/10.59  | | | | | | | | |   (643)  $false
% 71.81/10.59  | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | CLOSE: (643) is inconsistent.
% 71.81/10.59  | | | | | | | | | 
% 71.81/10.59  | | | | | | | | Case 2:
% 71.81/10.59  | | | | | | | | | 
% 71.81/10.59  | | | | | | | | |   (644)  all_10_22 = e2 | all_10_23 = e2 | all_10_24 = e2
% 71.81/10.59  | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | BETA: splitting (287) gives:
% 71.81/10.59  | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | Case 1:
% 71.81/10.59  | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | |   (645)  all_10_16 = e2
% 71.81/10.59  | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | COMBINE_EQS: (385), (645) imply:
% 71.81/10.59  | | | | | | | | | |   (646)  all_4_20 = e2
% 71.81/10.59  | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | REDUCE: (514), (646) imply:
% 71.81/10.59  | | | | | | | | | |   (647)  $false
% 71.81/10.59  | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | CLOSE: (647) is inconsistent.
% 71.81/10.59  | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | Case 2:
% 71.81/10.59  | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | |   (648)  all_10_17 = e2 | all_10_18 = e2 | all_10_19 = e2 |
% 71.81/10.59  | | | | | | | | | |          all_10_24 = e2
% 71.81/10.59  | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | BETA: splitting (648) gives:
% 71.81/10.59  | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | Case 1:
% 71.81/10.59  | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | |   (649)  all_10_17 = e2
% 71.81/10.59  | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | COMBINE_EQS: (370), (649) imply:
% 71.81/10.59  | | | | | | | | | | |   (650)  all_4_21 = e2
% 71.81/10.59  | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | REDUCE: (634), (650) imply:
% 71.81/10.59  | | | | | | | | | | |   (651)  $false
% 71.81/10.59  | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | CLOSE: (651) is inconsistent.
% 71.81/10.59  | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | Case 2:
% 71.81/10.59  | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | |   (652)  all_10_18 = e2 | all_10_19 = e2 | all_10_24 = e2
% 71.81/10.59  | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | BETA: splitting (644) gives:
% 71.81/10.59  | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | Case 1:
% 71.81/10.59  | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | |   (653)  all_10_22 = e2
% 71.81/10.59  | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | COMBINE_EQS: (328), (653) imply:
% 71.81/10.59  | | | | | | | | | | | |   (654)  all_4_14 = e2
% 71.81/10.59  | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | REDUCE: (632), (654) imply:
% 71.81/10.59  | | | | | | | | | | | |   (655)  $false
% 71.81/10.59  | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | CLOSE: (655) is inconsistent.
% 71.81/10.59  | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | Case 2:
% 71.81/10.59  | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | |   (656)  all_10_23 = e2 | all_10_24 = e2
% 71.81/10.59  | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | BETA: splitting (652) gives:
% 71.81/10.59  | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | Case 1:
% 71.81/10.59  | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | |   (657)  all_10_18 = e2
% 71.81/10.59  | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | COMBINE_EQS: (495), (657) imply:
% 71.81/10.59  | | | | | | | | | | | | |   (658)  all_4_22 = e2
% 71.81/10.59  | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | COMBINE_EQS: (584), (658) imply:
% 71.81/10.59  | | | | | | | | | | | | |   (659)  all_8_33 = e2
% 71.81/10.59  | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | BETA: splitting (295) gives:
% 71.81/10.59  | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | Case 1:
% 71.81/10.59  | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | |   (660)  all_10_9 = e2
% 71.81/10.59  | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | COMBINE_EQS: (388), (660) imply:
% 71.81/10.59  | | | | | | | | | | | | | |   (661)  all_4_15 = e2
% 71.81/10.59  | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | REDUCE: (512), (661) imply:
% 71.81/10.59  | | | | | | | | | | | | | |   (662)  $false
% 71.81/10.59  | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | CLOSE: (662) is inconsistent.
% 71.81/10.59  | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | Case 2:
% 71.81/10.59  | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | |   (663)  all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 |
% 71.81/10.59  | | | | | | | | | | | | | |          all_10_23 = e2
% 71.81/10.59  | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | BETA: splitting (656) gives:
% 71.81/10.59  | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | Case 1:
% 71.81/10.59  | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | |   (664)  all_10_23 = e2
% 71.81/10.59  | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | COMBINE_EQS: (325), (664) imply:
% 71.81/10.59  | | | | | | | | | | | | | | |   (665)  all_4_19 = e2
% 71.81/10.59  | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | REDUCE: (35), (665) imply:
% 71.81/10.59  | | | | | | | | | | | | | | |   (666)   ~ (all_4_16 = e2)
% 71.81/10.59  | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | REDUCE: (32), (665) imply:
% 71.81/10.59  | | | | | | | | | | | | | | |   (667)   ~ (all_4_17 = e2)
% 71.81/10.59  | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | REDUCE: (542), (665) imply:
% 71.81/10.59  | | | | | | | | | | | | | | |   (668)   ~ (e4 = e2)
% 71.81/10.59  | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_30,
% 71.81/10.59  | | | | | | | | | | | | | | |              e2, e3, simplifying with (635), (636) gives:
% 71.81/10.59  | | | | | | | | | | | | | | |   (669)  all_8_30 = e2
% 71.81/10.59  | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 71.81/10.59  | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | Case 1:
% 71.81/10.59  | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | |   (670)  (all_8_26 = e4 &  ~ (all_8_27 = e2)) | (all_8_29 =
% 71.81/10.59  | | | | | | | | | | | | | | | |            e3 &  ~ (all_8_30 = e2))
% 71.81/10.59  | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | BETA: splitting (670) gives:
% 71.81/10.59  | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.59  | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | |   (671)  all_8_26 = e4 &  ~ (all_8_27 = e2)
% 71.81/10.59  | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | ALPHA: (671) implies:
% 71.81/10.59  | | | | | | | | | | | | | | | | |   (672)  all_8_26 = e4
% 71.81/10.59  | | | | | | | | | | | | | | | | |   (673)   ~ (all_8_27 = e2)
% 71.81/10.59  | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | REDUCE: (562), (672) imply:
% 71.81/10.59  | | | | | | | | | | | | | | | | |   (674)  op(e2, all_4_10) = e4
% 71.81/10.59  | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 71.81/10.59  | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | |   (675)  all_6_2 = e2
% 71.81/10.59  | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (510), (675) are inconsistent by sub-proof
% 71.81/10.59  | | | | | | | | | | | | | | | | | |            #168.
% 71.81/10.59  | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | |   (676)   ~ (all_6_2 = e2)
% 71.81/10.59  | | | | | | | | | | | | | | | | | |   (677)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 |
% 71.81/10.59  | | | | | | | | | | | | | | | | | |          all_6_2 = e0
% 71.81/10.59  | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | |   (678)  all_10_4 = e1
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (678) imply:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | |   (679)  all_4_10 = e1
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | REDUCE: (57), (679) imply:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | |   (680)   ~ (all_4_15 = e1)
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | SIMP: (680) implies:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | |   (681)   ~ (all_4_15 = e1)
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | REDUCE: (510), (679) imply:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | |   (682)   ~ (e2 = e1)
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | REDUCE: (674), (679) imply:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | |   (683)  op(e2, e1) = e4
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | BETA: splitting (294) gives:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | |   (684)  all_10_9 = e1
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (684) imply:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | |   (685)  all_4_15 = e1
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (685) imply:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | |   (686)  $false
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | CLOSE: (686) is inconsistent.
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | |   (687)  all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 |
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | |          all_10_23 = e1
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | BETA: splitting (687) gives:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | |   (688)  all_10_10 = e1
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (688) imply:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | |   (689)  all_4_16 = e1
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | REDUCE: (611), (689) imply:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | |   (690)  $false
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | CLOSE: (690) is inconsistent.
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | |   (691)  all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (691) gives:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | |   (692)  all_10_11 = e1
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (692) imply:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | |   (693)  all_4_17 = e1
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (540), (566), (683), (693),
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | |            #167.
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | |   (694)  all_10_15 = e1 | all_10_23 = e1
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (496), (664), (694) are inconsistent by
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #166.
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | |   (695)   ~ (all_10_4 = e1)
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | REDUCE: (391), (695) imply:
% 71.81/10.59  | | | | | | | | | | | | | | | | | | |   (696)   ~ (all_4_10 = e1)
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | 
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (303), (391), (461), (521), (522), (550),
% 71.81/10.59  | | | | | | | | | | | | | | | | | | |            (673), (677), (696), (function-axioms) are
% 71.81/10.59  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #160.
% 71.81/10.59  | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.60  | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | End of split
% 71.81/10.60  | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.60  | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | |   (697)  all_8_29 = e3 &  ~ (all_8_30 = e2)
% 71.81/10.60  | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | ALPHA: (697) implies:
% 71.81/10.60  | | | | | | | | | | | | | | | | |   (698)   ~ (all_8_30 = e2)
% 71.81/10.60  | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | REDUCE: (669), (698) imply:
% 71.81/10.60  | | | | | | | | | | | | | | | | |   (699)  $false
% 71.81/10.60  | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | CLOSE: (699) is inconsistent.
% 71.81/10.60  | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | End of split
% 71.81/10.60  | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | Case 2:
% 71.81/10.60  | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | |   (700)  (all_8_33 = e1 &  ~ (all_8_34 = e2)) | (all_8_36 =
% 71.81/10.60  | | | | | | | | | | | | | | | |            e0 &  ~ (all_8_37 = e2))
% 71.81/10.60  | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | BETA: splitting (700) gives:
% 71.81/10.60  | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.60  | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | |   (701)  all_8_33 = e1 &  ~ (all_8_34 = e2)
% 71.81/10.60  | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | ALPHA: (701) implies:
% 71.81/10.60  | | | | | | | | | | | | | | | | |   (702)  all_8_33 = e1
% 71.81/10.60  | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (702) imply:
% 71.81/10.60  | | | | | | | | | | | | | | | | |   (703)  e2 = e1
% 71.81/10.60  | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | SIMP: (703) implies:
% 71.81/10.60  | | | | | | | | | | | | | | | | |   (704)  e2 = e1
% 71.81/10.60  | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | REDUCE: (6), (704) imply:
% 71.81/10.60  | | | | | | | | | | | | | | | | |   (705)  $false
% 71.81/10.60  | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | CLOSE: (705) is inconsistent.
% 71.81/10.60  | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.60  | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | |   (706)  all_8_36 = e0 &  ~ (all_8_37 = e2)
% 71.81/10.60  | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | ALPHA: (706) implies:
% 71.81/10.60  | | | | | | | | | | | | | | | | |   (707)  all_8_36 = e0
% 71.81/10.60  | | | | | | | | | | | | | | | | |   (708)   ~ (all_8_37 = e2)
% 71.81/10.60  | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | REDUCE: (565), (707) imply:
% 71.81/10.60  | | | | | | | | | | | | | | | | |   (709)  op(e2, all_4_14) = e0
% 71.81/10.60  | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 71.81/10.60  | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | |   (710)  all_6_2 = e2
% 71.81/10.60  | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (510), (710) are inconsistent by sub-proof
% 71.81/10.60  | | | | | | | | | | | | | | | | | |            #168.
% 71.81/10.60  | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | |   (711)   ~ (all_6_2 = e2)
% 71.81/10.60  | | | | | | | | | | | | | | | | | |   (712)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 |
% 71.81/10.60  | | | | | | | | | | | | | | | | | |          all_6_2 = e0
% 71.81/10.60  | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | |   (713)  all_6_11 = e2
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (620), (713) are inconsistent by sub-proof
% 71.81/10.60  | | | | | | | | | | | | | | | | | | |            #159.
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | |   (714)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e1 |
% 71.81/10.60  | | | | | | | | | | | | | | | | | | |          all_6_11 = e0
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | |   (715)  all_6_9 = e2
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (634), (715) are inconsistent by sub-proof
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | |            #158.
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | |   (716)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 |
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | |          all_6_9 = e0
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | |   (717)  all_6_21 = e2
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (622), (717) are inconsistent by sub-proof
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | |            #157.
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | |   (718)   ~ (all_6_21 = e2)
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | |   (719)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 |
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | |          all_6_21 = e0
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | |   (720)  all_6_22 = e2
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (466), (632), (720) are inconsistent by sub-proof
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | |            #156.
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | |   (721)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 |
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | |          all_6_22 = e0
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | |   (722)  all_6_1 = e2
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (508), (722) are inconsistent by sub-proof
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | |            #155.
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | |   (723)   ~ (all_6_1 = e2)
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | |   (724)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | |          all_6_1 = e0
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | |   (725)  all_6_20 = e2
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (725) imply:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | |   (726)  all_4_4 = e2
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (506), (726) imply:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | |   (727)  $false
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (727) is inconsistent.
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | |   (728)   ~ (all_6_20 = e2)
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | |   (729)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 |
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | |          all_6_20 = e0
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (730)  all_6_4 = e2
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (474), (514), (730) are inconsistent by sub-proof
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | |            #154.
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (731)   ~ (all_6_4 = e2)
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (732)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 |
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_4 = e0
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (733)  all_6_5 = e2
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (500), (733) are inconsistent by sub-proof
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | |            #153.
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (734)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_5 = e0
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (735)  all_6_3 = e2
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (512), (735) are inconsistent by sub-proof
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #152.
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (736)   ~ (all_6_3 = e2)
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (737)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 |
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_3 = e0
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (738)  (all_8_1 = e3 &  ~ (all_8_2 = e4)) | (all_8_4 = e2
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_8_5 = e4))
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (738) gives:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (739)  all_8_1 = e3 &  ~ (all_8_2 = e4)
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (739) implies:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (740)  all_8_1 = e3
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (545), (740) imply:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (741)  op(e4, all_4_1) = e3
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (742)  all_10_4 = e1
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (742) imply:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (743)  all_4_10 = e1
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (743) imply:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (744)   ~ (all_4_14 = e1)
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (744) implies:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (745)   ~ (all_4_14 = e1)
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (743) imply:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (746)   ~ (all_4_15 = e1)
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (746) implies:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (747)   ~ (all_4_15 = e1)
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (743) imply:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (748)   ~ (all_4_20 = e1)
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (748) implies:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (749)   ~ (all_4_20 = e1)
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (750)  all_10_20 = e1
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (750) imply:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (751)  all_4_4 = e1
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (751) implies:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (752)  all_4_4 = e1
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (752) imply:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (753)   ~ (all_4_1 = e1)
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (752) imply:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (754)   ~ (all_4_3 = e1)
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (506), (752) imply:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (755)   ~ (e2 = e1)
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (756)  all_10_12 = e3
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (756) imply:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (757)  all_4_3 = e3
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (757) implies:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (758)  all_4_3 = e3
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (758) imply:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (759)   ~ (all_4_1 = e3)
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (760)  all_10_20 = e3
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (750), (760) are inconsistent by sub-proof
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #151.
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (761)   ~ (all_10_20 = e3)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (762)  all_10_21 = e3 | all_10_22 = e3 | all_10_23 = e3 |
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_10_24 = e3
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (750), (761) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (763)   ~ (e3 = e1)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (762) gives:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (764)  all_10_21 = e3
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (331), (764) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (765)  all_4_9 = e3
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (765) implies:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (766)  all_4_9 = e3
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (766) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (767)   ~ (all_4_5 = e3)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (721) gives:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (768)  all_6_22 = e4
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (768) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (769)  all_4_14 = e4
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (769) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (770)  op(e2, e4) = e0
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, e2, simplifying with (131), (770) gives:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (771)  all_4_2 = e0
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (367), (771) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (772)  all_10_6 = e0
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (771) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (773)   ~ (all_4_1 = e0)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (771) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (774)   ~ (all_4_7 = e0)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (774) implies:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (775)   ~ (all_4_7 = e0)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (776)  all_10_6 = e4
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (535), (772), (776) are inconsistent by sub-proof
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #150.
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (777)  all_10_7 = e4 | all_10_8 = e4 | all_10_11 = e4 |
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_10_18 = e4
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (777) gives:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (778)  all_10_7 = e4
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (778) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (779)  all_4_7 = e4
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (779) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (780)   ~ (all_4_5 = e4)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (781)  all_10_1 = e0
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (38), (80), (81), (289), (296), (385),
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (388), (394), (450), (468), (474), (538), (552),
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (732), (734), (737), (741), (747), (749), (753),
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (759), (773), (781), (function-axioms) are
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #139.
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (782)   ~ (all_10_1 = e0)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (782) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (783)   ~ (all_4_5 = e0)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (601), (724), (767), (780), (783) are
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #134.
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (784)   ~ (all_10_7 = e4)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (497), (784) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (785)   ~ (all_4_7 = e4)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (518), (603), (714), (775), (785) are
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #132.
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (786)  all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (466), (527), (533), (745), (786) are inconsistent
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #130.
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (787)   ~ (all_10_21 = e3)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (331), (787) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (788)   ~ (all_4_9 = e3)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (58), (64), (118), (183), (295),
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (301), (303), (325), (328), (345), (357), (361),
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (388), (391), (460), (461), (466), (496),
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (512), (521), (522), (527), (533), (577),
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (589), (607), (630), (666), (667), (708), (719),
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (721), (788), (function-axioms) are inconsistent
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #125.
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (789)   ~ (all_10_12 = e3)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (452), (516), (517), (616), (754), (789)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #123.
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (790)   ~ (all_10_20 = e1)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (64), (89), (90), (334), (453), (460), (466),
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (527), (533), (588), (589), (607), (719), (721),
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (729), (745), (790) are inconsistent by sub-proof
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #121.
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (791)   ~ (all_10_4 = e1)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (58), (118), (183), (301), (303),
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (325), (328), (345), (357), (361), (373), (391),
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (461), (466), (496), (510), (521), (522), (527),
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (533), (577), (630), (663), (666), (667), (708),
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (712), (721), (791), (function-axioms) are
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #120.
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (792)  all_8_4 = e2 &  ~ (all_8_5 = e4)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (792) implies:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (793)  all_8_4 = e2
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (793) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (794)  op(e4, all_4_2) = e2
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (795)  all_10_4 = e1
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (795) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (796)  all_4_10 = e1
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (796) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (797)   ~ (all_4_14 = e1)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (797) implies:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (798)   ~ (all_4_14 = e1)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (796) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (799)   ~ (all_4_15 = e1)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (799) implies:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (800)   ~ (all_4_15 = e1)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (796) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (801)   ~ (all_4_20 = e1)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (801) implies:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (802)   ~ (all_4_20 = e1)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (521), (796) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (803)   ~ (e3 = e1)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (804)  all_10_4 = e4
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (795), (804) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (805)  e4 = e1
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (805) implies:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (806)  e4 = e1
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (806) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (807)  $false
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (807) is inconsistent.
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (808)  all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_10_22 = e4
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (808) gives:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (809)  all_10_5 = e4
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (630), (809) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (810)  e4 = e2
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (810) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (811)  $false
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (811) is inconsistent.
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (812)  all_10_8 = e4 | all_10_14 = e4 | all_10_22 = e4
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (813)  all_10_20 = e1
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (813) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (814)  all_4_4 = e1
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (814) implies:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (815)  all_4_4 = e1
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (506), (815) imply:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (816)   ~ (e2 = e1)
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (817)  all_10_20 = e3
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (813), (817) are inconsistent by sub-proof
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #151.
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (818)   ~ (all_10_20 = e3)
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (819)  all_10_21 = e3 | all_10_22 = e3 | all_10_23 = e3 |
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_10_24 = e3
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (819) gives:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (820)  all_10_21 = e3
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (331), (820) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (821)  all_4_9 = e3
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (821) implies:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (822)  all_4_9 = e3
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (822) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (823)   ~ (all_4_5 = e3)
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (721) gives:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (824)  all_6_22 = e4
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (824) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (825)  all_4_14 = e4
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (825) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (826)  all_10_22 = e4
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (825) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (827)  op(e2, e4) = e0
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, e2, simplifying with (131), (827) gives:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (828)  all_4_2 = e0
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (367), (828) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (829)  all_10_6 = e0
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (828) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (830)   ~ (all_4_1 = e0)
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (828) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (831)   ~ (all_4_7 = e0)
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (831) implies:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (832)   ~ (all_4_7 = e0)
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (794), (828) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (833)  op(e4, e0) = e2
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (834)  all_10_6 = e4
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (535), (829), (834) are inconsistent by sub-proof
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #150.
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (835)  all_10_7 = e4 | all_10_8 = e4 | all_10_11 = e4 |
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_10_18 = e4
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (835) gives:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (836)  all_10_7 = e4
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (836) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (837)  all_4_7 = e4
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (837) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (838)   ~ (all_4_5 = e4)
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (839)  all_10_1 = e0
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (839) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (840)  all_4_5 = e0
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (840) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (841)   ~ (all_4_15 = e0)
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (841) implies:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (842)   ~ (all_4_15 = e0)
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (840) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (843)   ~ (all_4_20 = e0)
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (840) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (844)   ~ (e2 = e0)
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (601), (840) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (845)   ~ (e1 = e0)
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (549), (840) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (846)  op(e4, e0) = all_8_14
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (847)  all_10_2 = e0
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (382), (830), (847) are inconsistent by sub-proof
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #119.
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (848)  all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 |
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_10_17 = e0
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (848) gives:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (849)  all_10_3 = e0
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (849) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (850)  e1 = e0
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (850) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (851)  $false
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (851) is inconsistent.
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (852)  all_10_5 = e0 | all_10_10 = e0 | all_10_17 = e0
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (853)  all_10_16 = e4
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (853) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (854)  all_4_20 = e4
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (854) implies:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (855)  all_4_20 = e4
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (27), (855) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (856)   ~ (all_4_21 = e4)
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (856) implies:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (857)   ~ (all_4_21 = e4)
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (855) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (858)  op(e4, e0) = e4
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (288) gives:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (859)  all_10_16 = e3
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (853), (859) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (860)  e4 = e3
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (860) implies:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (861)  e4 = e3
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (861) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (862)  $false
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (862) is inconsistent.
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (863)  all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 |
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_10_24 = e3
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (863) gives:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (864)  all_10_17 = e3
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (864) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (865)  all_4_21 = e3
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (865) implies:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (866)  all_4_21 = e3
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (857), (866) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (867)   ~ (e4 = e3)
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (868)  all_10_5 = e0
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (630), (868) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (869)  e2 = e0
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (869) implies:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (870)  e2 = e0
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (870) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (871)  all_10_23 = e0
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (357), (373), (496), (663), (666),
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (667), (871) are inconsistent by sub-proof #116.
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (872)  all_10_10 = e0 | all_10_17 = e0
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (872) gives:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (873)  all_10_10 = e0
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (873) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (874)  all_4_16 = e0
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (874) implies:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (875)  all_4_16 = e0
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_14,
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e4, simplifying with (846), (858) gives:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (876)  all_8_14 = e4
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_14,
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e4, simplifying with (833), (846) gives:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (877)  all_8_14 = e2
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (876), (877) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (878)  e4 = e2
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (878) implies:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (879)  e4 = e2
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (826), (879) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (880)  all_10_22 = e2
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (345), (361), (535), (812), (880) are
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #115.
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (881)  all_10_17 = e0
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (864), (881) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (882)  e3 = e0
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (882) implies:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (883)  e3 = e0
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (525), (883) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (884)  $false
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (884) is inconsistent.
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (885)   ~ (all_10_17 = e3)
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (885) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (886)   ~ (all_4_21 = e3)
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (592), (613), (716), (857), (886) are
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (887)   ~ (all_10_16 = e4)
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (887) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (888)   ~ (all_4_20 = e4)
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (296), (388), (468), (474), (538), (591),
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (732), (737), (800), (802), (842), (888) are
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #143.
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (889)   ~ (all_10_1 = e0)
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (889) imply:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (890)   ~ (all_4_5 = e0)
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (601), (724), (823), (838), (890) are
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #134.
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (891)   ~ (all_10_7 = e4)
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (497), (891) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (892)   ~ (all_4_7 = e4)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (518), (603), (714), (832), (892) are
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #132.
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (893)  all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (466), (527), (533), (798), (893) are inconsistent
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #130.
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (894)   ~ (all_10_21 = e3)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (331), (894) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (895)   ~ (all_4_9 = e3)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (58), (64), (118), (183), (295),
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (301), (303), (325), (328), (345), (357), (361),
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (388), (391), (460), (461), (466), (496),
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (512), (521), (522), (527), (533), (577),
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (589), (607), (630), (666), (667), (708), (719),
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (721), (895), (function-axioms) are inconsistent
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #125.
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (896)   ~ (all_10_20 = e1)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (64), (89), (90), (334), (453), (460), (466),
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (527), (533), (588), (589), (607), (719), (721),
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (729), (798), (896) are inconsistent by sub-proof
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #121.
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (897)   ~ (all_10_4 = e1)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (58), (118), (183), (301), (303),
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (325), (328), (345), (357), (361), (373), (391),
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (461), (466), (496), (510), (521), (522), (527),
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (533), (577), (630), (663), (666), (667), (708),
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (712), (721), (897), (function-axioms) are
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #120.
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (898)  (all_8_7 = e1 &  ~ (all_8_8 = e4)) | (all_8_10 =
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 &  ~ (all_8_11 = e4))
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (898) gives:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (899)  all_8_7 = e1 &  ~ (all_8_8 = e4)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (899) implies:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (900)  all_8_7 = e1
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (547), (900) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (901)  op(e4, all_4_3) = e1
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (902)  all_10_4 = e1
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (902) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (903)  all_4_10 = e1
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (903) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (904)   ~ (all_4_14 = e1)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (904) implies:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (905)   ~ (all_4_14 = e1)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (906)  all_10_20 = e1
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (906) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (907)  all_4_4 = e1
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (907) implies:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (908)  all_4_4 = e1
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (908) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (909)   ~ (all_4_3 = e1)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (910)  all_10_12 = e3
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (910) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (911)  all_4_3 = e3
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (911) implies:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (912)  all_4_3 = e3
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (901), (912) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (913)  op(e4, e3) = e1
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5, e1,
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e4, simplifying with (140), (913) gives:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (914)  all_4_5 = e1
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (601), (914) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (915)  $false
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (915) is inconsistent.
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (916)   ~ (all_10_12 = e3)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (452), (516), (517), (616), (909), (916)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #123.
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (917)   ~ (all_10_20 = e1)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (64), (89), (90), (334), (453), (460), (466),
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (527), (533), (588), (589), (607), (719), (721),
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (729), (905), (917) are inconsistent by sub-proof
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #121.
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (918)   ~ (all_10_4 = e1)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (58), (118), (183), (301), (303),
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (325), (328), (345), (357), (361), (373), (391),
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (461), (466), (496), (510), (521), (522), (527),
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (533), (577), (630), (663), (666), (667), (708),
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (712), (721), (918), (function-axioms) are
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #120.
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (919)  all_8_10 = e0 &  ~ (all_8_11 = e4)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (919) implies:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (920)  all_8_10 = e0
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (920) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (921)  op(e4, all_4_4) = e0
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (922)  all_10_4 = e1
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (922) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (923)  all_4_10 = e1
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (923) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (924)   ~ (all_4_14 = e1)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (924) implies:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (925)   ~ (all_4_14 = e1)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (923) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (926)   ~ (all_4_15 = e1)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (926) implies:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (927)   ~ (all_4_15 = e1)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (521), (923) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (928)   ~ (e3 = e1)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (550), (923) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (929)  op(e4, e1) = all_8_27
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (930)  all_10_20 = e1
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (930) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (931)  all_4_4 = e1
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (931) implies:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (932)  all_4_4 = e1
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (506), (932) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (933)   ~ (e2 = e1)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (921), (932) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (934)  op(e4, e1) = e0
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (294) gives:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (935)  all_10_9 = e1
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (935) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (936)  all_4_15 = e1
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (927), (936) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (937)  $false
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (937) is inconsistent.
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (938)  all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 |
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_10_23 = e1
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (939)  all_10_20 = e3
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (930), (939) are inconsistent by sub-proof
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #151.
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (940)   ~ (all_10_20 = e3)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (941)  all_10_21 = e3 | all_10_22 = e3 | all_10_23 = e3 |
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_10_24 = e3
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (941) gives:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (942)  all_10_21 = e3
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (331), (942) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (943)  all_4_9 = e3
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (943) implies:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (944)  all_4_9 = e3
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (944) imply:
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (945)   ~ (all_4_5 = e3)
% 71.81/10.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (721) gives:
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (946)  all_6_22 = e4
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (946) imply:
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (947)  all_4_14 = e4
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (947) imply:
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (948)  op(e2, e4) = e0
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (938) gives:
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (949)  all_10_10 = e1
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (949) imply:
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (950)  all_4_16 = e1
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (611), (950) imply:
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (951)  $false
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (951) is inconsistent.
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (952)  all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (952) gives:
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (953)  all_10_11 = e1
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (953) imply:
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (954)  all_4_17 = e1
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (954) implies:
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (955)  all_4_17 = e1
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, e2, simplifying with (131), (948) gives:
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (956)  all_4_2 = e0
% 71.81/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15,
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_8_27, e1, e4, simplifying with (138), (929)
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (957)  all_8_27 = all_4_15
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_27,
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e4, simplifying with (929), (934) gives:
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (958)  all_8_27 = e0
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (957), (958) imply:
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (959)  all_4_15 = e0
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (956) imply:
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (960)   ~ (all_4_7 = e0)
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (960) implies:
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (961)   ~ (all_4_7 = e0)
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (959) imply:
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (962)   ~ (all_4_5 = e0)
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (454), (456), (518), (601), (603), (714),
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (724), (945), (961), (962) are inconsistent by
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #109.
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (963)  all_10_15 = e1 | all_10_23 = e1
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (496), (664), (963) are inconsistent by
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #166.
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (964)  all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (466), (527), (533), (925), (964) are inconsistent
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #130.
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (965)   ~ (all_10_21 = e3)
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (331), (965) imply:
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (966)   ~ (all_4_9 = e3)
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (58), (64), (118), (183), (295),
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (301), (303), (325), (328), (345), (357), (361),
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (373), (388), (391), (460), (461), (466), (496),
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (510), (512), (521), (522), (527), (533), (577),
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (589), (607), (630), (666), (667), (708), (719),
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (721), (966), (function-axioms) are inconsistent
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #125.
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (967)   ~ (all_10_20 = e1)
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (64), (89), (90), (334), (453), (460), (466),
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (527), (533), (588), (589), (607), (719), (721),
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (729), (925), (967) are inconsistent by sub-proof
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #121.
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (968)   ~ (all_10_4 = e1)
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (58), (118), (183), (301), (303),
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (325), (328), (345), (357), (361), (373), (391),
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (461), (466), (496), (510), (521), (522), (527),
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (533), (577), (630), (663), (666), (667), (708),
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (712), (721), (968), (function-axioms) are
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #120.
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | Case 2:
% 72.73/10.64  | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | |   (969)  all_10_24 = e2
% 72.73/10.64  | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | COMBINE_EQS: (585), (969) imply:
% 72.73/10.64  | | | | | | | | | | | | | | |   (970)  e2 = e0
% 72.73/10.64  | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | REDUCE: (5), (970) imply:
% 72.73/10.64  | | | | | | | | | | | | | | |   (971)  $false
% 72.73/10.64  | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | CLOSE: (971) is inconsistent.
% 72.73/10.64  | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | Case 2:
% 72.73/10.64  | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | |   (972)  all_10_19 = e2 | all_10_24 = e2
% 72.73/10.64  | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | BETA: splitting (656) gives:
% 72.73/10.64  | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | Case 1:
% 72.73/10.64  | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | |   (973)  all_10_23 = e2
% 72.73/10.64  | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | COMBINE_EQS: (325), (973) imply:
% 72.73/10.64  | | | | | | | | | | | | | |   (974)  all_4_19 = e2
% 72.73/10.64  | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | SIMP: (974) implies:
% 72.73/10.64  | | | | | | | | | | | | | |   (975)  all_4_19 = e2
% 72.73/10.64  | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | REDUCE: (35), (975) imply:
% 72.73/10.64  | | | | | | | | | | | | | |   (976)   ~ (all_4_16 = e2)
% 72.73/10.64  | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | REDUCE: (32), (975) imply:
% 72.73/10.64  | | | | | | | | | | | | | |   (977)   ~ (all_4_17 = e2)
% 72.73/10.64  | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | REDUCE: (542), (975) imply:
% 72.73/10.64  | | | | | | | | | | | | | |   (978)   ~ (e4 = e2)
% 72.73/10.64  | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | BETA: splitting (972) gives:
% 72.73/10.64  | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | Case 1:
% 72.73/10.64  | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | |   (979)  all_10_19 = e2
% 72.73/10.64  | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | COMBINE_EQS: (337), (979) imply:
% 72.73/10.64  | | | | | | | | | | | | | | |   (980)  all_4_23 = e2
% 72.73/10.64  | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | REDUCE: (624), (980) imply:
% 72.73/10.64  | | | | | | | | | | | | | | |   (981)  $false
% 72.73/10.64  | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | CLOSE: (981) is inconsistent.
% 72.73/10.64  | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | Case 2:
% 72.73/10.64  | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | |   (982)  all_10_24 = e2
% 72.73/10.64  | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | COMBINE_EQS: (585), (982) imply:
% 72.73/10.64  | | | | | | | | | | | | | | |   (983)  e2 = e0
% 72.73/10.64  | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | COMBINE_EQS: (973), (983) imply:
% 72.73/10.64  | | | | | | | | | | | | | | |   (984)  all_10_23 = e0
% 72.73/10.64  | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (295), (357), (373), (388), (496),
% 72.73/10.64  | | | | | | | | | | | | | | |            (512), (976), (977), (984) are inconsistent by
% 72.73/10.64  | | | | | | | | | | | | | | |            sub-proof #108.
% 72.73/10.64  | | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | Case 2:
% 72.73/10.64  | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | |   (985)  all_10_24 = e2
% 72.73/10.64  | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | COMBINE_EQS: (585), (985) imply:
% 72.73/10.64  | | | | | | | | | | | | | |   (986)  e2 = e0
% 72.73/10.64  | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | REDUCE: (5), (986) imply:
% 72.73/10.64  | | | | | | | | | | | | | |   (987)  $false
% 72.73/10.64  | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | | CLOSE: (987) is inconsistent.
% 72.73/10.64  | | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | | 
% 72.73/10.64  | | | | | | | | End of split
% 72.73/10.64  | | | | | | | | 
% 72.73/10.64  | | | | | | | End of split
% 72.73/10.64  | | | | | | | 
% 72.73/10.64  | | | | | | Case 2:
% 72.73/10.64  | | | | | | | 
% 72.73/10.64  | | | | | | |   (988)   ~ (all_6_7 = e2)
% 72.73/10.64  | | | | | | |   (989)  all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 72.73/10.64  | | | | | | | 
% 72.73/10.64  | | | | | | | REDUCE: (462), (988) imply:
% 72.73/10.64  | | | | | | |   (990)   ~ (all_4_11 = e2)
% 72.73/10.64  | | | | | | | 
% 72.73/10.64  | | | | | | | BETA: splitting (302) gives:
% 72.73/10.64  | | | | | | | 
% 72.73/10.64  | | | | | | | Case 1:
% 72.73/10.64  | | | | | | | | 
% 72.73/10.64  | | | | | | | |   (991)  all_10_4 = e2
% 72.73/10.64  | | | | | | | | 
% 72.73/10.64  | | | | | | | | COMBINE_EQS: (391), (991) imply:
% 72.73/10.64  | | | | | | | |   (992)  all_4_10 = e2
% 72.73/10.64  | | | | | | | | 
% 72.73/10.64  | | | | | | | | REDUCE: (510), (992) imply:
% 72.73/10.64  | | | | | | | |   (993)  $false
% 72.73/10.64  | | | | | | | | 
% 72.73/10.64  | | | | | | | | CLOSE: (993) is inconsistent.
% 72.73/10.64  | | | | | | | | 
% 72.73/10.64  | | | | | | | Case 2:
% 72.73/10.64  | | | | | | | | 
% 72.73/10.64  | | | | | | | |   (994)  all_10_5 = e2 | all_10_8 = e2 | all_10_14 = e2 |
% 72.73/10.64  | | | | | | | |          all_10_22 = e2
% 72.73/10.64  | | | | | | | | 
% 72.73/10.64  | | | | | | | | BETA: splitting (994) gives:
% 72.73/10.64  | | | | | | | | 
% 72.73/10.64  | | | | | | | | Case 1:
% 72.73/10.64  | | | | | | | | | 
% 72.73/10.64  | | | | | | | | |   (995)  all_10_5 = e2
% 72.73/10.64  | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | COMBINE_EQS: (498), (995) imply:
% 72.73/10.64  | | | | | | | | |   (996)  all_4_11 = e2
% 72.73/10.64  | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | REDUCE: (990), (996) imply:
% 72.73/10.64  | | | | | | | | |   (997)  $false
% 72.73/10.64  | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | CLOSE: (997) is inconsistent.
% 72.73/10.64  | | | | | | | | | 
% 72.73/10.64  | | | | | | | | Case 2:
% 72.73/10.64  | | | | | | | | | 
% 72.73/10.64  | | | | | | | | |   (998)  all_10_8 = e2 | all_10_14 = e2 | all_10_22 = e2
% 72.73/10.64  | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | BETA: splitting (998) gives:
% 72.73/10.64  | | | | | | | | | 
% 72.73/10.64  | | | | | | | | | Case 1:
% 72.73/10.64  | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | |   (999)  all_10_8 = e2
% 72.73/10.65  | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | COMBINE_EQS: (361), (999) imply:
% 72.73/10.65  | | | | | | | | | |   (1000)  e3 = e2
% 72.73/10.65  | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | REDUCE: (8), (1000) imply:
% 72.73/10.65  | | | | | | | | | |   (1001)  $false
% 72.73/10.65  | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | CLOSE: (1001) is inconsistent.
% 72.73/10.65  | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | Case 2:
% 72.73/10.65  | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | |   (1002)  all_10_14 = e2 | all_10_22 = e2
% 72.73/10.65  | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | BETA: splitting (1002) gives:
% 72.73/10.65  | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | Case 1:
% 72.73/10.65  | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | |   (1003)  all_10_14 = e2
% 72.73/10.65  | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | COMBINE_EQS: (345), (1003) imply:
% 72.73/10.65  | | | | | | | | | | |   (1004)  e2 = e0
% 72.73/10.65  | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | REDUCE: (5), (1004) imply:
% 72.73/10.65  | | | | | | | | | | |   (1005)  $false
% 72.73/10.65  | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | CLOSE: (1005) is inconsistent.
% 72.73/10.65  | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | Case 2:
% 72.73/10.65  | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | |   (1006)  all_10_22 = e2
% 72.73/10.65  | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | COMBINE_EQS: (328), (1006) imply:
% 72.73/10.65  | | | | | | | | | | |   (1007)  all_4_14 = e2
% 72.73/10.65  | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | REDUCE: (527), (1007) imply:
% 72.73/10.65  | | | | | | | | | | |   (1008)   ~ (e3 = e2)
% 72.73/10.65  | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | REDUCE: (565), (1007) imply:
% 72.73/10.65  | | | | | | | | | | |   (1009)  op(e2, e2) = all_8_36
% 72.73/10.65  | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | REDUCE: (577), (1007) imply:
% 72.73/10.65  | | | | | | | | | | |   (1010)  op(e0, e2) = all_8_37
% 72.73/10.65  | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | REDUCE: (119), (1007) imply:
% 72.73/10.65  | | | | | | | | | | |   (1011)  op(e0, e2) = e2
% 72.73/10.65  | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | BETA: splitting (301) gives:
% 72.73/10.65  | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | Case 1:
% 72.73/10.65  | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | |   (1012)  all_10_4 = e1
% 72.73/10.65  | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | COMBINE_EQS: (391), (1012) imply:
% 72.73/10.65  | | | | | | | | | | | |   (1013)  all_4_10 = e1
% 72.73/10.65  | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | REDUCE: (550), (1013) imply:
% 72.73/10.65  | | | | | | | | | | | |   (1014)  op(e4, e1) = all_8_27
% 72.73/10.65  | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | REDUCE: (562), (1013) imply:
% 72.73/10.65  | | | | | | | | | | | |   (1015)  op(e2, e1) = all_8_26
% 72.73/10.65  | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | BETA: splitting (989) gives:
% 72.73/10.65  | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | Case 1:
% 72.73/10.65  | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | |   (1016)  all_6_7 = e4
% 72.73/10.65  | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | COMBINE_EQS: (462), (1016) imply:
% 72.73/10.65  | | | | | | | | | | | | |   (1017)  all_4_11 = e4
% 72.73/10.65  | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | SIMP: (1017) implies:
% 72.73/10.65  | | | | | | | | | | | | |   (1018)  all_4_11 = e4
% 72.73/10.65  | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | REDUCE: (51), (1018) imply:
% 72.73/10.65  | | | | | | | | | | | | |   (1019)   ~ (all_4_21 = e4)
% 72.73/10.65  | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | SIMP: (1019) implies:
% 72.73/10.65  | | | | | | | | | | | | |   (1020)   ~ (all_4_21 = e4)
% 72.73/10.65  | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | REDUCE: (563), (1018) imply:
% 72.73/10.65  | | | | | | | | | | | | |   (1021)  op(e2, e4) = all_8_29
% 72.73/10.65  | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_37,
% 72.73/10.65  | | | | | | | | | | | | |              e2, e0, simplifying with (1010), (1011) gives:
% 72.73/10.65  | | | | | | | | | | | | |   (1022)  all_8_37 = e2
% 72.73/10.65  | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 72.73/10.65  | | | | | | | | | | | | |              all_8_26, e1, e2, simplifying with (128), (1015)
% 72.73/10.65  | | | | | | | | | | | | |              gives:
% 72.73/10.65  | | | | | | | | | | | | |   (1023)  all_8_26 = all_4_17
% 72.73/10.65  | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_36,
% 72.73/10.65  | | | | | | | | | | | | |              e2, e2, simplifying with (14), (1009) gives:
% 72.73/10.65  | | | | | | | | | | | | |   (1024)  all_8_36 = e3
% 72.73/10.65  | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2,
% 72.73/10.65  | | | | | | | | | | | | |              all_8_29, e4, e2, simplifying with (131), (1021)
% 72.73/10.65  | | | | | | | | | | | | |              gives:
% 72.73/10.65  | | | | | | | | | | | | |   (1025)  all_8_29 = all_4_2
% 72.73/10.65  | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15,
% 72.73/10.65  | | | | | | | | | | | | |              all_8_27, e1, e4, simplifying with (138), (1014)
% 72.73/10.65  | | | | | | | | | | | | |              gives:
% 72.73/10.65  | | | | | | | | | | | | |   (1026)  all_8_27 = all_4_15
% 72.73/10.65  | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | BETA: splitting (251) gives:
% 72.73/10.65  | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | Case 1:
% 72.73/10.65  | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | |   (1027)  (all_8_26 = e4 &  ~ (all_8_27 = e2)) | (all_8_29 =
% 72.73/10.65  | | | | | | | | | | | | | |             e3 &  ~ (all_8_30 = e2))
% 72.73/10.65  | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | BETA: splitting (1027) gives:
% 72.73/10.65  | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | Case 1:
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | |   (1028)  all_8_26 = e4 &  ~ (all_8_27 = e2)
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | ALPHA: (1028) implies:
% 72.73/10.65  | | | | | | | | | | | | | | |   (1029)  all_8_26 = e4
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | COMBINE_EQS: (1023), (1029) imply:
% 72.73/10.65  | | | | | | | | | | | | | | |   (1030)  all_4_17 = e4
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | SIMP: (1030) implies:
% 72.73/10.65  | | | | | | | | | | | | | | |   (1031)  all_4_17 = e4
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | REDUCE: (540), (1031) imply:
% 72.73/10.65  | | | | | | | | | | | | | | |   (1032)  $false
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | CLOSE: (1032) is inconsistent.
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | Case 2:
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | |   (1033)  all_8_29 = e3 &  ~ (all_8_30 = e2)
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | ALPHA: (1033) implies:
% 72.73/10.65  | | | | | | | | | | | | | | |   (1034)  all_8_29 = e3
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | COMBINE_EQS: (1025), (1034) imply:
% 72.73/10.65  | | | | | | | | | | | | | | |   (1035)  all_4_2 = e3
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | SIMP: (1035) implies:
% 72.73/10.65  | | | | | | | | | | | | | | |   (1036)  all_4_2 = e3
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | REDUCE: (515), (1036) imply:
% 72.73/10.65  | | | | | | | | | | | | | | |   (1037)  $false
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | CLOSE: (1037) is inconsistent.
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | End of split
% 72.73/10.65  | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | Case 2:
% 72.73/10.65  | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | |   (1038)  (all_8_33 = e1 &  ~ (all_8_34 = e2)) | (all_8_36 =
% 72.73/10.65  | | | | | | | | | | | | | |             e0 &  ~ (all_8_37 = e2))
% 72.73/10.65  | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | BETA: splitting (1038) gives:
% 72.73/10.65  | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | Case 1:
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | |   (1039)  all_8_33 = e1 &  ~ (all_8_34 = e2)
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | ALPHA: (1039) implies:
% 72.73/10.65  | | | | | | | | | | | | | | |   (1040)  all_8_33 = e1
% 72.73/10.65  | | | | | | | | | | | | | | |   (1041)   ~ (all_8_34 = e2)
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | COMBINE_EQS: (584), (1040) imply:
% 72.73/10.65  | | | | | | | | | | | | | | |   (1042)  all_4_22 = e1
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | SIMP: (1042) implies:
% 72.73/10.65  | | | | | | | | | | | | | | |   (1043)  all_4_22 = e1
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | COMBINE_EQS: (495), (1043) imply:
% 72.73/10.65  | | | | | | | | | | | | | | |   (1044)  all_10_18 = e1
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | REDUCE: (31), (1043) imply:
% 72.73/10.65  | | | | | | | | | | | | | | |   (1045)   ~ (all_4_17 = e1)
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | REDUCE: (26), (1043) imply:
% 72.73/10.65  | | | | | | | | | | | | | | |   (1046)   ~ (all_4_20 = e1)
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | REDUCE: (20), (1043) imply:
% 72.73/10.65  | | | | | | | | | | | | | | |   (1047)   ~ (all_4_23 = e1)
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | SIMP: (1047) implies:
% 72.73/10.65  | | | | | | | | | | | | | | |   (1048)   ~ (all_4_23 = e1)
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | REDUCE: (581), (1043) imply:
% 72.73/10.65  | | | | | | | | | | | | | | |   (1049)  op(e0, e1) = all_8_58
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 72.73/10.65  | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | Case 1:
% 72.73/10.65  | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | |   (1050)  all_10_6 = e2
% 72.73/10.65  | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | COMBINE_EQS: (367), (1050) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | |   (1051)  all_4_2 = e2
% 72.73/10.65  | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | REDUCE: (502), (1051) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | |   (1052)  $false
% 72.73/10.65  | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | CLOSE: (1052) is inconsistent.
% 72.73/10.65  | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | Case 2:
% 72.73/10.65  | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | |   (1053)  all_10_7 = e2 | all_10_8 = e2 | all_10_11 = e2 |
% 72.73/10.65  | | | | | | | | | | | | | | | |           all_10_18 = e2
% 72.73/10.65  | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 72.73/10.65  | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.65  | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | |   (1054)  all_6_19 = e2
% 72.73/10.65  | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (1054) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | | |   (1055)  all_4_23 = e2
% 72.73/10.65  | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | SIMP: (1055) implies:
% 72.73/10.65  | | | | | | | | | | | | | | | | |   (1056)  all_4_23 = e2
% 72.73/10.65  | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | REDUCE: (624), (1056) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | | |   (1057)  $false
% 72.73/10.65  | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | CLOSE: (1057) is inconsistent.
% 72.73/10.65  | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.65  | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | |   (1058)  all_6_19 = e4 | all_6_19 = e3 | all_6_19 = e1 |
% 72.73/10.65  | | | | | | | | | | | | | | | | |           all_6_19 = e0
% 72.73/10.65  | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | BETA: splitting (1058) gives:
% 72.73/10.65  | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | |   (1059)  all_6_19 = e4
% 72.73/10.65  | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (1059) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | | | |   (1060)  all_4_23 = e4
% 72.73/10.65  | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | SIMP: (1060) implies:
% 72.73/10.65  | | | | | | | | | | | | | | | | | |   (1061)  all_4_23 = e4
% 72.73/10.65  | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | REDUCE: (544), (1061) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | | | |   (1062)  $false
% 72.73/10.65  | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | CLOSE: (1062) is inconsistent.
% 72.73/10.65  | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | |   (1063)  all_6_19 = e3 | all_6_19 = e1 | all_6_19 = e0
% 72.73/10.65  | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | BETA: splitting (1053) gives:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | |   (1064)  all_10_7 = e2
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (1064) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | |   (1065)  all_4_7 = e2
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | REDUCE: (620), (1065) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | |   (1066)  $false
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | CLOSE: (1066) is inconsistent.
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | |   (1067)  all_10_8 = e2 | all_10_11 = e2 | all_10_18 = e2
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | BETA: splitting (1067) gives:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | |   (1068)  all_10_8 = e2
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (361), (1068) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | |   (1069)  e3 = e2
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1069) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | |   (1070)  $false
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | CLOSE: (1070) is inconsistent.
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | |   (1071)  all_10_11 = e2 | all_10_18 = e2
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1063) gives:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | |   (1072)  all_6_19 = e1
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (1072) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | |   (1073)  all_4_23 = e1
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | SIMP: (1073) implies:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | |   (1074)  all_4_23 = e1
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | REDUCE: (1048), (1074) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | |   (1075)  $false
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | CLOSE: (1075) is inconsistent.
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | |   (1076)  all_6_19 = e3 | all_6_19 = e0
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1076) gives:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | |   (1077)  all_6_19 = e3
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (1077) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | |   (1078)  all_4_23 = e3
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | SIMP: (1078) implies:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | |   (1079)  all_4_23 = e3
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (1079) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | |   (1080)   ~ (all_4_3 = e3)
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25), (1079) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | |   (1081)   ~ (all_4_20 = e3)
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (1079) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | |   (1082)   ~ (all_4_21 = e3)
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (1079) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | |   (1083)  op(e0, e3) = all_8_61
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | |   (1084)  all_6_9 = e2
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (1084) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | |   (1085)  all_4_21 = e2
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (1085) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | |   (1086)  op(e0, e2) = all_8_55
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (616) gives:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | |   (1087)  all_6_15 = e4
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (517), (1087) are inconsistent by sub-proof
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | |            #107.
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | |   (1088)  all_6_15 = e3 | all_6_15 = e1 | all_6_15 = e0
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1088) gives:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (1089)  all_6_15 = e1
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (1089) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (1090)  all_4_3 = e1
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1090) implies:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (1091)  all_4_3 = e1
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (1091) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (1092)  all_10_12 = e1
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (1091) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (1093)   ~ (all_4_1 = e1)
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (1091) imply:
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (1094)   ~ (all_4_2 = e1)
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.65  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (1091) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (1095)   ~ (all_4_4 = e1)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1095) implies:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (1096)   ~ (all_4_4 = e1)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1080), (1091) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (1097)   ~ (e3 = e1)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (504), (1091) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (1098)   ~ (e2 = e1)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (547), (1091) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (1099)  op(e4, e1) = all_8_7
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1100)  all_6_4 = e2
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (474), (514), (1100) are inconsistent by sub-proof
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            #154.
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1101)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 |
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_4 = e0
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1101) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1102)  all_6_4 = e4
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (1102) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1103)  all_4_20 = e4
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1103) implies:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1104)  all_4_20 = e4
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (1104) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1105)   ~ (all_4_5 = e4)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (1104) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1106)  op(e4, e4) = all_8_53
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (1104) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1107)  op(e4, e0) = e4
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (1104) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1108)  op(e0, e4) = all_8_52
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1071) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1109)  all_10_11 = e2
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (1109) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1110)  all_4_17 = e2
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (1110) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1111)   ~ (all_4_19 = e2)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1111) implies:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1112)   ~ (all_4_19 = e2)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1113)  all_10_20 = e1
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (1113) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1114)  all_4_4 = e1
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1096), (1114) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1115)  $false
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1115) is inconsistent.
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1116)  all_10_21 = e1 | all_10_22 = e1 | all_10_23 = e1 |
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_24 = e1
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1116) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1117)  all_10_21 = e1
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (331), (1117) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1118)  all_4_9 = e1
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (607), (1118) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1119)  $false
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1119) is inconsistent.
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1120)  all_10_22 = e1 | all_10_23 = e1 | all_10_24 = e1
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1120) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1121)  all_10_22 = e1
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1006), (1121) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1122)  e2 = e1
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1122) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1123)  $false
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1123) is inconsistent.
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1124)  all_10_23 = e1 | all_10_24 = e1
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1124) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1125)  all_10_23 = e1
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (325), (1125) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1126)  all_4_19 = e1
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (1126) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1127)   ~ (all_4_15 = e1)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (1126) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1128)  op(e0, e1) = all_8_50
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1126) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1129)  op(e0, e1) = e1
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_58,
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_8_50, e1, e0, simplifying with (1049), (1128)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1130)  all_8_50 = all_8_58
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_50,
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, simplifying with (1128), (1129) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1131)  all_8_50 = e1
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_55,
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (1011), (1086) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1132)  all_8_55 = e2
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9,
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_8_61, e3, e0, simplifying with (120), (1083)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1133)  all_8_61 = all_4_9
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_4,
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_8_52, e4, e0, simplifying with (121), (1108)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1134)  all_8_52 = all_4_4
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15,
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_8_7, e1, e4, simplifying with (138), (1099)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1135)  all_8_7 = all_4_15
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_53,
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, e4, simplifying with (15), (1106) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1136)  all_8_53 = e2
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1130), (1131) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1137)  all_8_58 = e1
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1137) implies:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1138)  all_8_58 = e1
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1139)  (all_8_52 = e4 &  ~ (all_8_53 = e0)) | (all_8_55 =
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_8_56 = e0))
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1139) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1140)  all_8_52 = e4 &  ~ (all_8_53 = e0)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1140) implies:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1141)  all_8_52 = e4
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1134), (1141) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1142)  all_4_4 = e4
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1142) implies:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1143)  all_4_4 = e4
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (1143) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1144)  all_10_20 = e4
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (1143) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1145)   ~ (all_4_1 = e4)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (1143) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1146)   ~ (all_4_2 = e4)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (1143) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1147)  op(e4, e4) = all_8_10
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1148)  all_6_10 = e2
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (451), (502), (1148) are inconsistent by sub-proof
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #106.
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1149)  all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 |
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_10 = e0
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1149) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1150)  all_6_10 = e4
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (451), (1146), (1150) are inconsistent by
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #105.
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1151)  all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1152)  all_10_0 = e3
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (398), (1152) are inconsistent by sub-proof
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #104.
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1153)  all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_20 = e3
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1151) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1154)  all_6_10 = e1
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (451), (1094), (1154) are inconsistent by
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #103.
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1155)  all_6_10 = e3 | all_6_10 = e0
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1155) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1156)  all_6_10 = e3
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (451), (515), (1156) are inconsistent by sub-proof
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #102.
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1157)  all_6_10 = e0
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (451), (1157) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1158)  all_4_2 = e0
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1158) implies:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1159)  all_4_2 = e0
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (1159) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1160)  op(e4, e0) = all_8_4
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1153) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1161)  all_10_2 = e3
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (1161) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1162)  all_4_1 = e3
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1162) implies:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1163)  all_4_1 = e3
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (1163) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1164)   ~ (all_4_16 = e3)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1164) implies:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1165)   ~ (all_4_16 = e3)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1145), (1163) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1166)   ~ (e4 = e3)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (545), (1163) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1167)  op(e4, e3) = all_8_1
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1168)  all_6_1 = e2
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (508), (1168) are inconsistent by sub-proof
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #155.
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1169)   ~ (all_6_1 = e2)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1170)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1170) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1171)  all_6_1 = e4
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (1105), (1171) are inconsistent by
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #138.
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1172)  all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (296) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1173)  all_10_9 = e3
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (1173) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1174)  all_4_15 = e3
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1135), (1174) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1175)  all_8_7 = e3
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (1174) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1176)   ~ (all_4_5 = e3)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (551), (1174) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1177)  op(e4, e3) = all_8_40
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1178)  all_10_1 = e0
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (1178) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1179)  all_4_5 = e0
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1176), (1179) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1180)   ~ (e3 = e0)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (1179) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1181)   ~ (e2 = e0)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (549), (1179) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1182)  op(e4, e0) = all_8_14
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1179) imply:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1183)  op(e4, e3) = e0
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_4,
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e4, simplifying with (1107), (1160) gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1184)  all_8_4 = e4
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_14,
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_8_4, e0, e4, simplifying with (1160), (1182)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1185)  all_8_4 = all_8_14
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_40,
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_8_1, e3, e4, simplifying with (1167), (1177)
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1186)  all_8_1 = all_8_40
% 72.73/10.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_1,
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e4, simplifying with (1167), (1183) gives:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1187)  all_8_1 = e0
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_10,
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, e4, simplifying with (15), (1147) gives:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1188)  all_8_10 = e2
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1186), (1187) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1189)  all_8_40 = e0
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1184), (1185) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1190)  all_8_14 = e4
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1191)  (all_8_1 = e3 &  ~ (all_8_2 = e4)) | (all_8_4 = e2
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_8_5 = e4))
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1191) gives:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1192)  all_8_1 = e3 &  ~ (all_8_2 = e4)
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1192) implies:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1193)  all_8_1 = e3
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1187), (1193) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1194)  e3 = e0
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (525), (1194) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1195)  $false
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1195) is inconsistent.
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1196)  all_8_4 = e2 &  ~ (all_8_5 = e4)
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1196) implies:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1197)  all_8_4 = e2
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1184), (1197) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1198)  e4 = e2
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1198) implies:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1199)  e4 = e2
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1199) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1200)  $false
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1200) is inconsistent.
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1201)  (all_8_7 = e1 &  ~ (all_8_8 = e4)) | (all_8_10 =
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_11 = e4))
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1201) gives:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1202)  all_8_7 = e1 &  ~ (all_8_8 = e4)
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1175), (1202) are inconsistent by sub-proof
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #101.
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1203)  all_8_10 = e0 &  ~ (all_8_11 = e4)
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1203) implies:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1204)  all_8_10 = e0
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1188), (1204) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1205)  e2 = e0
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1205) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1206)  $false
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1206) is inconsistent.
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1207)   ~ (all_10_1 = e0)
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (1207) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1208)   ~ (all_4_5 = e0)
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1172) gives:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1209)  all_6_1 = e1
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (601), (1209) are inconsistent by sub-proof
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #137.
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1210)  all_6_1 = e3 | all_6_1 = e0
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (1176), (1208), (1210) are inconsistent by
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #136.
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1211)  all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_23 = e3
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1211) gives:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1212)  all_10_10 = e3
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (1212) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1213)  all_4_16 = e3
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1213) implies:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1214)  all_4_16 = e3
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1165), (1214) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1215)  $false
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1215) is inconsistent.
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1216)  all_10_11 = e3 | all_10_15 = e3 | all_10_23 = e3
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1216) gives:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1217)  all_10_11 = e3
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1109), (1217) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1218)  e3 = e2
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1218) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1219)  $false
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1219) is inconsistent.
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1220)  all_10_15 = e3 | all_10_23 = e3
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1220) gives:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1221)  all_10_15 = e3
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (1221) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1222)  e4 = e3
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1222) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1223)  $false
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1223) is inconsistent.
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1224)  all_10_23 = e3
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1125), (1224) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1225)  e3 = e1
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1225) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1226)  $false
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1226) is inconsistent.
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1227)  all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11), (367), (515), (1092), (1144), (1227)
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #98.
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1228)  all_8_55 = e3 &  ~ (all_8_56 = e0)
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1132), (1228) are inconsistent by sub-proof
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #97.
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1229)  (all_8_58 = e2 &  ~ (all_8_59 = e0)) | (all_8_61 =
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_8_62 = e0))
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1229) gives:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1230)  all_8_58 = e2 &  ~ (all_8_59 = e0)
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1230) implies:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1231)  all_8_58 = e2
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1138), (1231) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1232)  e2 = e1
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1232) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1233)  $false
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1233) is inconsistent.
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1234)  all_8_61 = e1 &  ~ (all_8_62 = e0)
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (1133), (1234) are inconsistent by
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #96.
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1235)  all_10_24 = e1
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (585), (1235) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1236)  e1 = e0
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1236) implies:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1237)  e1 = e0
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1237) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1238)  $false
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1238) is inconsistent.
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1239)  all_10_18 = e2
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1044), (1239) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1240)  e2 = e1
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1240) implies:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1241)  e2 = e1
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1241) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1242)  $false
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1242) is inconsistent.
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1243)  all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (474), (591), (1046), (1081), (1243) are
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #95.
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (1244)  all_6_15 = e3 | all_6_15 = e0
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (91), (452), (479), (516), (537), (1076), (1244)
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #94.
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | |   (1245)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 |
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | |           all_6_9 = e0
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (592), (613), (1020), (1082), (1245) are
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | |   (1246)  all_6_19 = e0
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (1246) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | |   (1247)  all_4_23 = e0
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | SIMP: (1247) implies:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | |   (1248)  all_4_23 = e0
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (1248) imply:
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | |   (1249)  $false
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1249) is inconsistent.
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | |   (1250)  all_8_36 = e0 &  ~ (all_8_37 = e2)
% 72.73/10.67  | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | | REF_CLOSE: (525), (1024), (1250) are inconsistent by
% 72.73/10.67  | | | | | | | | | | | | | | |            sub-proof #93.
% 72.73/10.67  | | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | |   (1251)  all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 72.73/10.67  | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | REF_CLOSE: (462), (523), (524), (609), (1251) are
% 72.73/10.67  | | | | | | | | | | | | |            inconsistent by sub-proof #91.
% 72.73/10.67  | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | End of split
% 72.73/10.67  | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | |   (1252)   ~ (all_10_4 = e1)
% 72.73/10.67  | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | REDUCE: (391), (1252) imply:
% 72.73/10.67  | | | | | | | | | | | |   (1253)   ~ (all_4_10 = e1)
% 72.73/10.67  | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | BETA: splitting (183) gives:
% 72.73/10.67  | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | Case 1:
% 72.73/10.67  | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | |   (1254)  all_6_2 = e2
% 72.73/10.67  | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | REF_CLOSE: (461), (510), (1254) are inconsistent by sub-proof
% 72.73/10.67  | | | | | | | | | | | | |            #168.
% 72.73/10.67  | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | Case 2:
% 72.73/10.67  | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | |   (1255)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 |
% 72.73/10.67  | | | | | | | | | | | | |           all_6_2 = e0
% 72.73/10.67  | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | BETA: splitting (1255) gives:
% 72.73/10.67  | | | | | | | | | | | | | 
% 72.73/10.67  | | | | | | | | | | | | | Case 1:
% 72.73/10.67  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | |   (1256)  all_6_2 = e4
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | COMBINE_EQS: (461), (1256) imply:
% 72.73/10.68  | | | | | | | | | | | | | |   (1257)  all_4_10 = e4
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | SIMP: (1257) implies:
% 72.73/10.68  | | | | | | | | | | | | | |   (1258)  all_4_10 = e4
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | REDUCE: (61), (1258) imply:
% 72.73/10.68  | | | | | | | | | | | | | |   (1259)   ~ (all_4_11 = e4)
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | SIMP: (1259) implies:
% 72.73/10.68  | | | | | | | | | | | | | |   (1260)   ~ (all_4_11 = e4)
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | REF_CLOSE: (462), (523), (524), (609), (989), (1260) are
% 72.73/10.68  | | | | | | | | | | | | | |            inconsistent by sub-proof #90.
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | Case 2:
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | |   (1261)  all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | REF_CLOSE: (461), (521), (522), (1253), (1261) are
% 72.73/10.68  | | | | | | | | | | | | | |            inconsistent by sub-proof #162.
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | End of split
% 72.73/10.68  | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | End of split
% 72.73/10.68  | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | End of split
% 72.73/10.68  | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | End of split
% 72.73/10.68  | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | End of split
% 72.73/10.68  | | | | | | | | | 
% 72.73/10.68  | | | | | | | | End of split
% 72.73/10.68  | | | | | | | | 
% 72.73/10.68  | | | | | | | End of split
% 72.73/10.68  | | | | | | | 
% 72.73/10.68  | | | | | | End of split
% 72.73/10.68  | | | | | | 
% 72.73/10.68  | | | | | Case 2:
% 72.73/10.68  | | | | | | 
% 72.73/10.68  | | | | | |   (1262)   ~ (all_6_16 = e2)
% 72.73/10.68  | | | | | |   (1263)  all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e1 | all_6_16 =
% 72.73/10.68  | | | | | |           e0
% 72.73/10.68  | | | | | | 
% 72.73/10.68  | | | | | | REDUCE: (458), (1262) imply:
% 72.73/10.68  | | | | | |   (1264)   ~ (all_4_8 = e2)
% 72.73/10.68  | | | | | | 
% 72.73/10.68  | | | | | | BETA: splitting (291) gives:
% 72.73/10.68  | | | | | | 
% 72.73/10.68  | | | | | | Case 1:
% 72.73/10.68  | | | | | | | 
% 72.73/10.68  | | | | | | |   (1265)  all_10_12 = e2
% 72.73/10.68  | | | | | | | 
% 72.73/10.68  | | | | | | | REF_CLOSE: (351), (504), (1265) are inconsistent by sub-proof #89.
% 72.73/10.68  | | | | | | | 
% 72.73/10.68  | | | | | | Case 2:
% 72.73/10.68  | | | | | | | 
% 72.73/10.68  | | | | | | |   (1266)  all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 |
% 72.73/10.68  | | | | | | |           all_10_19 = e2
% 72.73/10.68  | | | | | | | 
% 72.73/10.68  | | | | | | | BETA: splitting (1263) gives:
% 72.73/10.68  | | | | | | | 
% 72.73/10.68  | | | | | | | Case 1:
% 72.73/10.68  | | | | | | | | 
% 72.73/10.68  | | | | | | | |   (1267)  all_6_16 = e4
% 72.73/10.68  | | | | | | | | 
% 72.73/10.68  | | | | | | | | COMBINE_EQS: (458), (1267) imply:
% 72.73/10.68  | | | | | | | |   (1268)  all_4_8 = e4
% 72.73/10.68  | | | | | | | | 
% 72.73/10.68  | | | | | | | | SIMP: (1268) implies:
% 72.73/10.68  | | | | | | | |   (1269)  all_4_8 = e4
% 72.73/10.68  | | | | | | | | 
% 72.73/10.68  | | | | | | | | REDUCE: (520), (1269) imply:
% 72.73/10.68  | | | | | | | |   (1270)  $false
% 72.73/10.68  | | | | | | | | 
% 72.73/10.68  | | | | | | | | CLOSE: (1270) is inconsistent.
% 72.73/10.68  | | | | | | | | 
% 72.73/10.68  | | | | | | | Case 2:
% 72.73/10.68  | | | | | | | | 
% 72.73/10.68  | | | | | | | |   (1271)  all_6_16 = e3 | all_6_16 = e1 | all_6_16 = e0
% 72.73/10.68  | | | | | | | | 
% 72.73/10.68  | | | | | | | | BETA: splitting (1271) gives:
% 72.73/10.68  | | | | | | | | 
% 72.73/10.68  | | | | | | | | Case 1:
% 72.73/10.68  | | | | | | | | | 
% 72.73/10.68  | | | | | | | | |   (1272)  all_6_16 = e1
% 72.73/10.68  | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | COMBINE_EQS: (458), (1272) imply:
% 72.73/10.68  | | | | | | | | |   (1273)  all_4_8 = e1
% 72.73/10.68  | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | SIMP: (1273) implies:
% 72.73/10.68  | | | | | | | | |   (1274)  all_4_8 = e1
% 72.73/10.68  | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | REDUCE: (605), (1274) imply:
% 72.73/10.68  | | | | | | | | |   (1275)  $false
% 72.73/10.68  | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | CLOSE: (1275) is inconsistent.
% 72.73/10.68  | | | | | | | | | 
% 72.73/10.68  | | | | | | | | Case 2:
% 72.73/10.68  | | | | | | | | | 
% 72.73/10.68  | | | | | | | | |   (1276)   ~ (all_6_16 = e1)
% 72.73/10.68  | | | | | | | | |   (1277)  all_6_16 = e3 | all_6_16 = e0
% 72.73/10.68  | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | BETA: splitting (1266) gives:
% 72.73/10.68  | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | Case 1:
% 72.73/10.68  | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | |   (1278)  all_10_13 = e2
% 72.73/10.68  | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | REF_CLOSE: (348), (1264), (1278) are inconsistent by
% 72.73/10.68  | | | | | | | | | |            sub-proof #88.
% 72.73/10.68  | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | Case 2:
% 72.73/10.68  | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | |   (1279)   ~ (all_10_13 = e2)
% 72.73/10.68  | | | | | | | | | |   (1280)  all_10_14 = e2 | all_10_15 = e2 | all_10_19 = e2
% 72.73/10.68  | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | BETA: splitting (1277) gives:
% 72.73/10.68  | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | Case 1:
% 72.73/10.68  | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | |   (1281)  all_6_16 = e3
% 72.73/10.68  | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | COMBINE_EQS: (458), (1281) imply:
% 72.73/10.68  | | | | | | | | | | |   (1282)  all_4_8 = e3
% 72.73/10.68  | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | SIMP: (1282) implies:
% 72.73/10.68  | | | | | | | | | | |   (1283)  all_4_8 = e3
% 72.73/10.68  | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | COMBINE_EQS: (348), (1283) imply:
% 72.73/10.68  | | | | | | | | | | |   (1284)  all_10_13 = e3
% 72.73/10.68  | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | REDUCE: (94), (1283) imply:
% 72.73/10.68  | | | | | | | | | | |   (1285)   ~ (all_4_3 = e3)
% 72.73/10.68  | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | REDUCE: (84), (1283) imply:
% 72.73/10.68  | | | | | | | | | | |   (1286)   ~ (all_4_5 = e3)
% 72.73/10.68  | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | REDUCE: (68), (1283) imply:
% 72.73/10.68  | | | | | | | | | | |   (1287)   ~ (all_4_9 = e3)
% 72.73/10.68  | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | SIMP: (1287) implies:
% 72.73/10.68  | | | | | | | | | | |   (1288)   ~ (all_4_9 = e3)
% 72.73/10.68  | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | REDUCE: (65), (1283) imply:
% 72.73/10.68  | | | | | | | | | | |   (1289)   ~ (all_4_23 = e3)
% 72.73/10.68  | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | SIMP: (1289) implies:
% 72.73/10.68  | | | | | | | | | | |   (1290)   ~ (all_4_23 = e3)
% 72.73/10.68  | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | REDUCE: (569), (1283) imply:
% 72.73/10.68  | | | | | | | | | | |   (1291)  op(e1, e3) = all_8_21
% 72.73/10.68  | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | REDUCE: (125), (1283) imply:
% 72.73/10.68  | | | | | | | | | | |   (1292)  op(e1, e3) = e3
% 72.73/10.68  | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | BETA: splitting (1280) gives:
% 72.73/10.68  | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | Case 1:
% 72.73/10.68  | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | |   (1293)  all_10_14 = e2
% 72.73/10.68  | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | COMBINE_EQS: (345), (1293) imply:
% 72.73/10.68  | | | | | | | | | | | |   (1294)  e2 = e0
% 72.73/10.68  | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | REDUCE: (5), (1294) imply:
% 72.73/10.68  | | | | | | | | | | | |   (1295)  $false
% 72.73/10.68  | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | CLOSE: (1295) is inconsistent.
% 72.73/10.68  | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | Case 2:
% 72.73/10.68  | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | |   (1296)  all_10_15 = e2 | all_10_19 = e2
% 72.73/10.68  | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | BETA: splitting (616) gives:
% 72.73/10.68  | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | Case 1:
% 72.73/10.68  | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | |   (1297)  all_6_15 = e4
% 72.73/10.68  | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | REF_CLOSE: (452), (517), (1297) are inconsistent by sub-proof
% 72.73/10.68  | | | | | | | | | | | | |            #107.
% 72.73/10.68  | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | Case 2:
% 72.73/10.68  | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | |   (1298)  all_6_15 = e3 | all_6_15 = e1 | all_6_15 = e0
% 72.73/10.68  | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | BETA: splitting (1298) gives:
% 72.73/10.68  | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | Case 1:
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | |   (1299)  all_6_15 = e1
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | COMBINE_EQS: (452), (1299) imply:
% 72.73/10.68  | | | | | | | | | | | | | |   (1300)  all_4_3 = e1
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | SIMP: (1300) implies:
% 72.73/10.68  | | | | | | | | | | | | | |   (1301)  all_4_3 = e1
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | REDUCE: (107), (1301) imply:
% 72.73/10.68  | | | | | | | | | | | | | |   (1302)   ~ (all_4_1 = e1)
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | REDUCE: (101), (1301) imply:
% 72.73/10.68  | | | | | | | | | | | | | |   (1303)   ~ (all_4_2 = e1)
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | REDUCE: (95), (1301) imply:
% 72.73/10.68  | | | | | | | | | | | | | |   (1304)   ~ (all_4_4 = e1)
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | SIMP: (1304) implies:
% 72.73/10.68  | | | | | | | | | | | | | |   (1305)   ~ (all_4_4 = e1)
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | REDUCE: (91), (1301) imply:
% 72.73/10.68  | | | | | | | | | | | | | |   (1306)   ~ (all_4_23 = e1)
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | SIMP: (1306) implies:
% 72.73/10.68  | | | | | | | | | | | | | |   (1307)   ~ (all_4_23 = e1)
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | REDUCE: (1285), (1301) imply:
% 72.73/10.68  | | | | | | | | | | | | | |   (1308)   ~ (e3 = e1)
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | REDUCE: (547), (1301) imply:
% 72.73/10.68  | | | | | | | | | | | | | |   (1309)  op(e4, e1) = all_8_7
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | REDUCE: (568), (1301) imply:
% 72.73/10.68  | | | | | | | | | | | | | |   (1310)  op(e1, e1) = all_8_8
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 72.73/10.68  | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | Case 1:
% 72.73/10.68  | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | |   (1311)  all_6_19 = e2
% 72.73/10.68  | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | COMBINE_EQS: (479), (1311) imply:
% 72.73/10.68  | | | | | | | | | | | | | | |   (1312)  all_4_23 = e2
% 72.73/10.68  | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | SIMP: (1312) implies:
% 72.73/10.68  | | | | | | | | | | | | | | |   (1313)  all_4_23 = e2
% 72.73/10.68  | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | COMBINE_EQS: (583), (1313) imply:
% 72.73/10.68  | | | | | | | | | | | | | | |   (1314)  all_8_34 = e2
% 72.73/10.68  | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | REDUCE: (22), (1313) imply:
% 72.73/10.68  | | | | | | | | | | | | | | |   (1315)   ~ (all_4_21 = e2)
% 72.73/10.68  | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | REDUCE: (544), (1313) imply:
% 72.73/10.68  | | | | | | | | | | | | | | |   (1316)   ~ (e4 = e2)
% 72.73/10.68  | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | REDUCE: (1290), (1313) imply:
% 72.73/10.68  | | | | | | | | | | | | | | |   (1317)   ~ (e3 = e2)
% 72.73/10.68  | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | REDUCE: (575), (1313) imply:
% 72.73/10.68  | | | | | | | | | | | | | | |   (1318)  op(e1, e2) = all_8_62
% 72.73/10.68  | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | REDUCE: (122), (1313) imply:
% 72.73/10.68  | | | | | | | | | | | | | | |   (1319)  op(e1, e0) = e2
% 72.73/10.68  | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_8,
% 72.73/10.68  | | | | | | | | | | | | | | |              e1, e1, simplifying with (12), (1310) gives:
% 72.73/10.68  | | | | | | | | | | | | | | |   (1320)  all_8_8 = e4
% 72.73/10.68  | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_62,
% 72.73/10.68  | | | | | | | | | | | | | | |              e2, e1, simplifying with (13), (1318) gives:
% 72.73/10.68  | | | | | | | | | | | | | | |   (1321)  all_8_62 = e0
% 72.73/10.68  | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_21,
% 72.73/10.68  | | | | | | | | | | | | | | |              e3, e1, simplifying with (1291), (1292) gives:
% 72.73/10.68  | | | | | | | | | | | | | | |   (1322)  all_8_21 = e3
% 72.73/10.68  | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15,
% 72.73/10.68  | | | | | | | | | | | | | | |              all_8_7, e1, e4, simplifying with (138), (1309)
% 72.73/10.68  | | | | | | | | | | | | | | |              gives:
% 72.73/10.68  | | | | | | | | | | | | | | |   (1323)  all_8_7 = all_4_15
% 72.73/10.68  | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 72.73/10.68  | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | Case 1:
% 72.73/10.68  | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | |   (1324)  all_6_1 = e2
% 72.73/10.68  | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | REF_CLOSE: (454), (508), (1324) are inconsistent by sub-proof
% 72.73/10.68  | | | | | | | | | | | | | | | |            #155.
% 72.73/10.68  | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | Case 2:
% 72.73/10.68  | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | |   (1325)   ~ (all_6_1 = e2)
% 72.73/10.68  | | | | | | | | | | | | | | | |   (1326)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 72.73/10.68  | | | | | | | | | | | | | | | |           all_6_1 = e0
% 72.73/10.68  | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 72.73/10.68  | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.68  | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | |   (1327)  all_6_7 = e2
% 72.73/10.68  | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (1327) imply:
% 72.73/10.68  | | | | | | | | | | | | | | | | |   (1328)  all_4_11 = e2
% 72.73/10.68  | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | SIMP: (1328) implies:
% 72.73/10.68  | | | | | | | | | | | | | | | | |   (1329)  all_4_11 = e2
% 72.73/10.68  | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (1329) imply:
% 72.73/10.68  | | | | | | | | | | | | | | | | |   (1330)  all_10_5 = e2
% 72.73/10.68  | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | REDUCE: (53), (1329) imply:
% 72.73/10.68  | | | | | | | | | | | | | | | | |   (1331)   ~ (all_4_14 = e2)
% 72.73/10.68  | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | SIMP: (1331) implies:
% 72.73/10.68  | | | | | | | | | | | | | | | | |   (1332)   ~ (all_4_14 = e2)
% 72.73/10.68  | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | REDUCE: (52), (1329) imply:
% 72.73/10.68  | | | | | | | | | | | | | | | | |   (1333)   ~ (all_4_16 = e2)
% 72.73/10.68  | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | SIMP: (1333) implies:
% 72.73/10.68  | | | | | | | | | | | | | | | | |   (1334)   ~ (all_4_16 = e2)
% 72.73/10.68  | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | REDUCE: (51), (1329) imply:
% 72.73/10.68  | | | | | | | | | | | | | | | | |   (1335)   ~ (all_4_21 = e2)
% 72.73/10.68  | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | REDUCE: (558), (1329) imply:
% 72.73/10.68  | | | | | | | | | | | | | | | | |   (1336)  op(e3, e2) = all_8_30
% 72.73/10.68  | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | REDUCE: (134), (1329) imply:
% 72.73/10.68  | | | | | | | | | | | | | | | | |   (1337)  op(e3, e2) = e2
% 72.73/10.68  | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_30,
% 72.73/10.68  | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (1336), (1337) gives:
% 72.73/10.68  | | | | | | | | | | | | | | | | |   (1338)  all_8_30 = e2
% 72.73/10.68  | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 72.73/10.68  | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.68  | | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | |   (1339)  (all_8_26 = e4 &  ~ (all_8_27 = e2)) | (all_8_29 =
% 72.73/10.68  | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_8_30 = e2))
% 72.73/10.68  | | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | | BETA: splitting (1339) gives:
% 72.73/10.68  | | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | | |   (1340)  all_8_26 = e4 &  ~ (all_8_27 = e2)
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | ALPHA: (1340) implies:
% 72.73/10.68  | | | | | | | | | | | | | | | | | | |   (1341)  all_8_26 = e4
% 72.73/10.68  | | | | | | | | | | | | | | | | | | |   (1342)   ~ (all_8_27 = e2)
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | REDUCE: (562), (1341) imply:
% 72.73/10.68  | | | | | | | | | | | | | | | | | | |   (1343)  op(e2, all_4_10) = e4
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | |   (1344)  all_6_22 = e2
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (466), (1332), (1344) are inconsistent by
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | |            sub-proof #156.
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | |   (1345)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 |
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | |           all_6_22 = e0
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | |   (1346)  all_6_21 = e2
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1346) imply:
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | |   (1347)  all_4_9 = e2
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (1347) imply:
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | |   (1348)   ~ (all_4_19 = e2)
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | | SIMP: (1348) implies:
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | |   (1349)   ~ (all_4_19 = e2)
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.68  | | | | | | | | | | | | | | | | | | | | | |   (1350)  all_10_9 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (1350) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | |   (1351)  all_4_15 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (512), (1351) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | |   (1352)  $false
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1352) is inconsistent.
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | |   (1353)  all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 |
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | |           all_10_23 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1353) gives:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | |   (1354)  all_10_10 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (1354) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | |   (1355)  all_4_16 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1334), (1355) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | |   (1356)  $false
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1356) is inconsistent.
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | |   (1357)  all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1357) gives:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | |   (1358)  all_10_11 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (1358) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | |   (1359)  all_4_17 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1359) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | |   (1360)  op(e2, e1) = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (1361)  all_6_2 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (1361) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (1362)  all_4_10 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (510), (1362) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (1363)  $false
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1363) is inconsistent.
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (1364)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 |
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_2 = e0
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1365)  all_10_4 = e1
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (1365) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1366)  all_4_10 = e1
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1366) implies:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1367)  all_4_10 = e1
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1343), (1367) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1368)  op(e2, e1) = e4
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e4, e1,
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (1360), (1368) gives:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1369)  e4 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1369) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1370)  $false
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1370) is inconsistent.
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1371)   ~ (all_10_4 = e1)
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (391), (1371) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1372)   ~ (all_4_10 = e1)
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (303), (391), (461), (521), (522), (550),
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            (1342), (1364), (1372), (function-axioms) are
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #160.
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | |   (1373)  all_10_15 = e2 | all_10_23 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (325), (496), (1349), (1373) are
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #87.
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | |   (1374)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 |
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | |           all_6_21 = e0
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1374) gives:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | |   (1375)  all_6_21 = e4
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1375) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | |   (1376)  all_4_9 = e4
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | SIMP: (1376) implies:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | |   (1377)  all_4_9 = e4
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (1377) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | |   (1378)   ~ (all_4_14 = e4)
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | SIMP: (1378) implies:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | |   (1379)   ~ (all_4_14 = e4)
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1345) gives:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | |   (1380)  all_6_22 = e4
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (1380) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | |   (1381)  all_4_14 = e4
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1379), (1381) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | |   (1382)  $false
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1382) is inconsistent.
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | |   (1383)  all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | |   (1384)  all_10_4 = e4
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (391), (550), (1342), (1384),
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | |            #165.
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | |   (1385)   ~ (all_10_4 = e4)
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (391), (1385) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | |   (1386)   ~ (all_4_10 = e4)
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (58), (183), (461), (466), (510), (521), (522),
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | |            (527), (533), (1383), (1386) are inconsistent by
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #129.
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | |   (1387)  all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (589), (607), (1288), (1387) are
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #126.
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | |   (1388)  all_8_29 = e3 &  ~ (all_8_30 = e2)
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | ALPHA: (1388) implies:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | |   (1389)   ~ (all_8_30 = e2)
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | REDUCE: (1338), (1389) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | |   (1390)  $false
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | CLOSE: (1390) is inconsistent.
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | End of split
% 72.73/10.69  | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | |   (1391)  (all_8_33 = e1 &  ~ (all_8_34 = e2)) | (all_8_36 =
% 72.73/10.69  | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_37 = e2))
% 72.73/10.69  | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | BETA: splitting (1391) gives:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | |   (1392)  all_8_33 = e1 &  ~ (all_8_34 = e2)
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | ALPHA: (1392) implies:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | |   (1393)   ~ (all_8_34 = e2)
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | REDUCE: (1314), (1393) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | |   (1394)  $false
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | CLOSE: (1394) is inconsistent.
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | |   (1395)  all_8_36 = e0 &  ~ (all_8_37 = e2)
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | ALPHA: (1395) implies:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | |   (1396)  all_8_36 = e0
% 72.73/10.69  | | | | | | | | | | | | | | | | | | |   (1397)   ~ (all_8_37 = e2)
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | REDUCE: (565), (1396) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | |   (1398)  op(e2, all_4_14) = e0
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | |   (1399)  all_6_22 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (466), (1332), (1399) are inconsistent by
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | |            sub-proof #156.
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | |   (1400)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 |
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | |           all_6_22 = e0
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | |   (1401)  all_6_21 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1401) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | |   (1402)  all_4_9 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (331), (1402) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | |   (1403)  all_10_21 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (1402) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | |   (1404)   ~ (all_4_19 = e2)
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | SIMP: (1404) implies:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | |   (1405)   ~ (all_4_19 = e2)
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (1402) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | |   (1406)  op(e3, e2) = all_8_23
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | |   (1407)  all_10_9 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (1407) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | |   (1408)  all_4_15 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (512), (1408) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | |   (1409)  $false
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1409) is inconsistent.
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | |   (1410)  all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 |
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | |           all_10_23 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1410) gives:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | |   (1411)  all_10_10 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (1411) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | |   (1412)  all_4_16 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1334), (1412) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | |   (1413)  $false
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1413) is inconsistent.
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | |   (1414)  all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1414) gives:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | |   (1415)  all_10_11 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (1415) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | |   (1416)  all_4_17 = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (1416) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | |   (1417)   ~ (all_4_7 = e2)
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (1416) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | |   (1418)   ~ (all_4_22 = e2)
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1418) implies:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | |   (1419)   ~ (all_4_22 = e2)
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1416) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | |   (1420)  op(e2, e1) = e2
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (573), (1416) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | |   (1421)  op(e1, e2) = all_8_45
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (1422)  all_10_6 = e1
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (367), (1303), (1422) are inconsistent by
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #86.
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (1423)  all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 |
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_18 = e1
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1423) gives:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1424)  all_10_7 = e1
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (1424) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1425)  all_4_7 = e1
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (603), (1425) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1426)  $false
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1426) is inconsistent.
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1427)  all_10_8 = e1 | all_10_11 = e1 | all_10_18 = e1
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1427) gives:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1428)  all_10_8 = e1
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (361), (1428) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1429)  e3 = e1
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1429) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1430)  $false
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1430) is inconsistent.
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1431)  all_10_11 = e1 | all_10_18 = e1
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1431) gives:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1432)  all_10_11 = e1
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1415), (1432) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1433)  e2 = e1
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1433) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1434)  $false
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1434) is inconsistent.
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1435)  all_10_18 = e1
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (1435) imply:
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1436)  all_4_22 = e1
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (26), (1436) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1437)   ~ (all_4_20 = e1)
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1419), (1436) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1438)   ~ (e2 = e1)
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (1436) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1439)  op(e2, e1) = all_8_59
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_45,
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (13), (1421) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1440)  all_8_45 = e0
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_59,
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (1420), (1439) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1441)  all_8_59 = e2
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_23,
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (1337), (1406) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1442)  all_8_23 = e2
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1443)  (all_8_13 = e4 &  ~ (all_8_14 = e3)) | (all_8_17 =
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 &  ~ (all_8_18 = e3))
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1443) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1444)  all_8_13 = e4 &  ~ (all_8_14 = e3)
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1444) implies:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1445)  all_8_13 = e4
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (1445) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1446)  op(e3, all_4_5) = e4
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1447)  all_6_4 = e2
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (1447) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1448)  all_4_20 = e2
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (514), (1448) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1449)  $false
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1449) is inconsistent.
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1450)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 |
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_4 = e0
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1451)  all_6_20 = e2
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (1451) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1452)  all_4_4 = e2
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (506), (1452) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1453)  $false
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1453) is inconsistent.
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1454)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 |
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_20 = e0
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1455)  all_6_9 = e2
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (1455) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1456)  all_4_21 = e2
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1315), (1456) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1457)  $false
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1457) is inconsistent.
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1458)   ~ (all_6_9 = e2)
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1459)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 |
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_9 = e0
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1460)  all_6_2 = e2
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (1460) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1461)  all_4_10 = e2
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (510), (1461) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1462)  $false
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1462) is inconsistent.
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1463)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 |
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_2 = e0
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1464)  all_6_11 = e2
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (1417), (1464) are inconsistent by
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #159.
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1465)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e1 |
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_11 = e0
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1466)  (all_8_1 = e3 &  ~ (all_8_2 = e4)) | (all_8_4 = e2
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_8_5 = e4))
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1466) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1467)  all_8_1 = e3 &  ~ (all_8_2 = e4)
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (15), (27), (34), (35),
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (56), (57), (58), (80), (81), (82), (85),
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (99), (102), (103), (106), (108), (121),
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (140), (180), (182), (285), (289), (293),
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (294), (296), (301), (303), (307), (309), (316),
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (318), (325), (334), (373), (382), (385), (388),
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (391), (394), (398), (450), (453), (454), (456),
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (461), (466), (468), (474), (475), (496), (500),
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (512), (518), (521), (522), (527), (533), (538),
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (542), (545), (552), (577), (588), (590), (601),
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (603), (613), (1286), (1302), (1305), (1326),
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1397), (1398), (1400), (1415), (1437), (1450),
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1454), (1459), (1463), (1465), (1467),
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #77.
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1468)  all_8_4 = e2 &  ~ (all_8_5 = e4)
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1468) implies:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1469)  all_8_4 = e2
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (1469) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1470)  op(e4, all_4_2) = e2
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1471)  all_6_5 = e2
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (500), (1471) are inconsistent by sub-proof
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #153.
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1472)   ~ (all_6_5 = e2)
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1473)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_5 = e0
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1474)  all_6_3 = e2
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (512), (1474) are inconsistent by sub-proof
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #152.
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1475)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 |
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_3 = e0
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1476)  all_10_4 = e1
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (1476) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1477)  all_4_10 = e1
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1477) implies:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1478)  all_4_10 = e1
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (1478) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1479)   ~ (all_4_14 = e1)
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1479) implies:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1480)   ~ (all_4_14 = e1)
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (1478) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1481)   ~ (all_4_15 = e1)
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1481) implies:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1482)   ~ (all_4_15 = e1)
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (1478) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1483)   ~ (all_4_20 = e1)
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1400) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1484)  all_6_22 = e4
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (1484) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1485)  all_4_14 = e4
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1485) implies:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1486)  all_4_14 = e4
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1398), (1486) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1487)  op(e2, e4) = e0
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, e2, simplifying with (131), (1487) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1488)  all_4_2 = e0
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (1488) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1489)   ~ (all_4_1 = e0)
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (1488) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1490)   ~ (all_4_7 = e0)
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1490) implies:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1491)   ~ (all_4_7 = e0)
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1470), (1488) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1492)  op(e4, e0) = e2
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1493)  all_10_1 = e0
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (1493) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1494)  all_4_5 = e0
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (1494) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1495)   ~ (all_4_15 = e0)
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1495) implies:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1496)   ~ (all_4_15 = e0)
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (1494) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1497)   ~ (all_4_20 = e0)
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (1494) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1498)   ~ (e2 = e0)
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (601), (1494) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1499)   ~ (e1 = e0)
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (549), (1494) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1500)  op(e4, e0) = all_8_14
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1446), (1494) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1501)  op(e3, e0) = e4
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1502)  all_10_2 = e0
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (1502) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1503)  all_4_1 = e0
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1489), (1503) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1504)  $false
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1504) is inconsistent.
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1505)  all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 |
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_17 = e0
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1505) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1506)  all_10_3 = e0
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (1506) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1507)  e1 = e0
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1507) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1508)  $false
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1508) is inconsistent.
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1509)  all_10_5 = e0 | all_10_10 = e0 | all_10_17 = e0
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1509) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1510)  all_10_5 = e0
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1330), (1510) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1511)  e2 = e0
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1511) imply:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1512)  $false
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1512) is inconsistent.
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1513)  all_10_10 = e0 | all_10_17 = e0
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1514)  all_10_16 = e4
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (1514) imply:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1515)  all_4_20 = e4
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (27), (1515) imply:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1516)   ~ (all_4_21 = e4)
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1516) implies:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1517)   ~ (all_4_21 = e4)
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (1515) imply:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1518)  op(e4, e0) = e4
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (288) gives:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1519)  all_10_16 = e3
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1514), (1519) imply:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1520)  e4 = e3
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1520) imply:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1521)  $false
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1521) is inconsistent.
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1522)  all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 |
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_24 = e3
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1513) gives:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1523)  all_10_10 = e0
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (1523) imply:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1524)  all_4_16 = e0
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (1524) imply:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1525)   ~ (all_4_21 = e0)
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (559), (1524) imply:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1526)  op(e3, e0) = all_8_43
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1459) gives:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1527)  all_6_9 = e4
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (1517), (1527) are inconsistent by
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #114.
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1528)  all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1522) gives:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1529)  all_10_17 = e3
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (1529) imply:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1530)  all_4_21 = e3
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (1530) imply:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1531)  op(e3, e0) = e3
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_43,
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e3, simplifying with (1501), (1526) gives:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1532)  all_8_43 = e4
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_43,
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e3, simplifying with (1526), (1531) gives:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1533)  all_8_43 = e3
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_14,
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e4, simplifying with (1500), (1518) gives:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1534)  all_8_14 = e4
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_14,
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e4, simplifying with (1492), (1500) gives:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1535)  all_8_14 = e2
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1534), (1535) imply:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1536)  e4 = e2
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1536) implies:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1537)  e4 = e2
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1532), (1533) imply:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1538)  e4 = e3
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1538) implies:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1539)  e4 = e3
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1537), (1539) imply:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1540)  e3 = e2
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1540) imply:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1541)  $false
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1541) is inconsistent.
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.73/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1542)   ~ (all_10_17 = e3)
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (1542) imply:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1543)   ~ (all_4_21 = e3)
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (592), (613), (1528), (1543) are
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #111.
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1544)  all_10_17 = e0
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (1544) imply:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1545)  all_4_21 = e0
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (1545) imply:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1546)  $false
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1546) is inconsistent.
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1547)   ~ (all_10_16 = e4)
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (1547) imply:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1548)   ~ (all_4_20 = e4)
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (296), (388), (468), (474), (538), (591),
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1437), (1450), (1475), (1482), (1496), (1548) are
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #143.
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1549)   ~ (all_10_1 = e0)
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (1549) imply:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1550)   ~ (all_4_5 = e0)
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (454), (456), (518), (601), (603), (1286),
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1326), (1465), (1491), (1550) are inconsistent by
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #109.
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1551)  all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (466), (527), (533), (1480), (1551) are
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #130.
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1552)   ~ (all_10_4 = e1)
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1553)  all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_22 = e1
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (391), (1552) imply:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1554)   ~ (all_4_10 = e1)
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (27), (34), (35), (57),
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (81), (82), (88), (89), (102), (103), (106),
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (137), (286), (293), (294), (296), (303), (307),
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (309), (313), (316), (318), (325), (328), (334),
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (345), (351), (361), (367), (373), (382), (385),
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (388), (391), (394), (398), (450), (453), (454),
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (461), (475), (496), (500), (516), (521), (522),
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (527), (533), (549), (588), (590), (601), (613),
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1286), (1302), (1326), (1330), (1334), (1398),
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1415), (1420), (1437), (1454), (1459), (1463),
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1470), (1473), (1553), (1554), (function-axioms)
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #71.
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1555)  (all_8_7 = e1 &  ~ (all_8_8 = e4)) | (all_8_10 =
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_11 = e4))
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1555) gives:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1556)  all_8_7 = e1 &  ~ (all_8_8 = e4)
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1556) implies:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1557)   ~ (all_8_8 = e4)
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1320), (1557) imply:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1558)  $false
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1558) is inconsistent.
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1559)  all_8_10 = e0 &  ~ (all_8_11 = e4)
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1559) implies:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1560)  all_8_10 = e0
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (1560) imply:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1561)  op(e4, all_4_4) = e0
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1562)  all_6_5 = e2
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (500), (1562) are inconsistent by sub-proof
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #153.
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1563)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_5 = e0
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1564)  all_10_4 = e1
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (1564) imply:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1565)  all_4_10 = e1
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1565) implies:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1566)  all_4_10 = e1
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (1566) imply:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1567)   ~ (all_4_14 = e1)
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1567) implies:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1568)   ~ (all_4_14 = e1)
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1400) gives:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1569)  all_6_22 = e4
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (1569) imply:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1570)  all_4_14 = e4
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1570) implies:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1571)  all_4_14 = e4
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (1571) imply:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1572)   ~ (all_4_4 = e4)
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (1571) imply:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1573)  op(e0, e4) = all_8_37
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1454) gives:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1574)  all_6_20 = e4
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (1574) imply:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1575)  all_4_4 = e4
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1572), (1575) imply:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1576)  $false
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1576) is inconsistent.
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1577)  all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1577) gives:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1578)  all_6_20 = e1
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (1578) imply:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1579)  all_4_4 = e1
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1305), (1579) imply:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1580)  $false
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1580) is inconsistent.
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1581)   ~ (all_6_20 = e1)
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1582)  all_6_20 = e3 | all_6_20 = e0
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1583)  all_10_20 = e3
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (1583) imply:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1584)  all_4_4 = e3
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1584) implies:
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1585)  all_4_4 = e3
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (1585) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1586)   ~ (all_4_1 = e3)
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1561), (1585) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1587)  op(e4, e3) = e0
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1585) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1588)  op(e0, e4) = e3
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_37,
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, e0, simplifying with (1573), (1588) gives:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1589)  all_8_37 = e3
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5, e0,
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e4, simplifying with (140), (1587) gives:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1590)  all_4_5 = e0
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (1590) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1591)   ~ (all_4_15 = e0)
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1591) implies:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1592)   ~ (all_4_15 = e0)
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1286), (1590) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1593)   ~ (e3 = e0)
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (1590) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1594)   ~ (e2 = e0)
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1446), (1590) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1595)  op(e3, e0) = e4
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1596)  all_10_9 = e0
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (1596) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1597)  all_4_15 = e0
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1592), (1597) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1598)  $false
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1598) is inconsistent.
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1599)  all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 |
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_23 = e0
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1599) gives:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1600)  all_10_10 = e0
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (1600) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1601)  all_4_16 = e0
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (1601) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1602)   ~ (all_4_1 = e0)
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (559), (1601) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1603)  op(e3, e0) = all_8_43
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1604)  all_10_2 = e3
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (1604) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1605)  all_4_1 = e3
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1586), (1605) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1606)  $false
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1606) is inconsistent.
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1607)   ~ (all_10_2 = e3)
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1608)  all_10_3 = e3 | all_10_5 = e3 | all_10_10 = e3 |
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_17 = e3
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1608) gives:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1609)  all_10_3 = e3
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (1609) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1610)  e3 = e1
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1610) implies:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1611)  e3 = e1
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1611) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1612)  $false
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1612) is inconsistent.
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1613)  all_10_5 = e3 | all_10_10 = e3 | all_10_17 = e3
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1613) gives:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1614)  all_10_5 = e3
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1330), (1614) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1615)  e3 = e2
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1615) implies:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1616)  e3 = e2
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1616) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1617)  $false
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1617) is inconsistent.
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1618)  all_10_10 = e3 | all_10_17 = e3
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1563) gives:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1619)  all_6_5 = e4
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (1619) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1620)  all_4_1 = e4
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1620) implies:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1621)  all_4_1 = e4
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (1621) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1622)   ~ (all_4_21 = e4)
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1622) implies:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1623)   ~ (all_4_21 = e4)
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1618) gives:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1624)  all_10_10 = e3
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (525), (1600), (1624) are inconsistent by
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #83.
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1625)  all_10_17 = e3
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (1625) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1626)  all_4_21 = e3
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1623), (1626) imply:
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1627)   ~ (e4 = e3)
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.08/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (1626) imply:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1628)  op(e3, e0) = e3
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_43,
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e3, simplifying with (1595), (1603) gives:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1629)  all_8_43 = e4
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_43,
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e3, simplifying with (1603), (1628) gives:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1630)  all_8_43 = e3
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1629), (1630) imply:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1631)  e4 = e3
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1631) implies:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1632)  e4 = e3
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1632) imply:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1633)  $false
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1633) is inconsistent.
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1634)  all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (1302), (1586), (1602), (1634) are
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #140.
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1635)  all_10_11 = e0 | all_10_15 = e0 | all_10_23 = e0
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (325), (496), (535), (590), (1415), (1635)
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #79.
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1636)   ~ (all_10_20 = e3)
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (334), (1636) imply:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1637)   ~ (all_4_4 = e3)
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (588), (1582), (1637) are inconsistent by
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #122.
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1638)  all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (466), (527), (533), (1568), (1638) are
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #130.
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1639)   ~ (all_10_4 = e1)
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (15), (27), (34), (102),
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (103), (106), (286), (293), (303), (307), (316),
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (318), (325), (334), (373), (382), (385), (391),
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (394), (398), (450), (453), (461), (475), (496),
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (521), (522), (550), (588), (590), (601), (613),
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1286), (1302), (1305), (1334), (1415), (1437),
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1454), (1459), (1463), (1561), (1563), (1639),
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #70.
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1640)  all_8_17 = e2 &  ~ (all_8_18 = e3)
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1640) implies:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1641)  all_8_17 = e2
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (1641) imply:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1642)  op(e3, all_4_7) = e2
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1643)  all_6_4 = e2
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (1643) imply:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1644)  all_4_20 = e2
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (514), (1644) imply:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1645)  $false
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1645) is inconsistent.
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1646)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 |
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_4 = e0
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1647)  all_6_20 = e2
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (1647) imply:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1648)  all_4_4 = e2
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (506), (1648) imply:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1649)  $false
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1649) is inconsistent.
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1650)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 |
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_20 = e0
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1651)  all_6_9 = e2
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (1651) imply:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1652)  all_4_21 = e2
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1315), (1652) imply:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1653)  $false
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1653) is inconsistent.
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1654)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 |
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_9 = e0
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1655)  all_6_2 = e2
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (1655) imply:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1656)  all_4_10 = e2
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (510), (1656) imply:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1657)  $false
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1657) is inconsistent.
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1658)   ~ (all_6_2 = e2)
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1659)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 |
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_2 = e0
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1660)  all_6_11 = e2
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (1417), (1660) are inconsistent by
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #159.
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1661)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e1 |
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_11 = e0
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1662)  (all_8_39 = e4 &  ~ (all_8_40 = e1)) | (all_8_42 =
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_8_43 = e1))
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1662) gives:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1663)  all_8_39 = e4 &  ~ (all_8_40 = e1)
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1663) implies:
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1664)  all_8_39 = e4
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (1664) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1665)  op(e1, all_4_15) = e4
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1666)  (all_8_1 = e3 &  ~ (all_8_2 = e4)) | (all_8_4 = e2
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_8_5 = e4))
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1666) gives:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1667)  all_8_1 = e3 &  ~ (all_8_2 = e4)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (15), (27), (34), (35),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (56), (57), (58), (80), (81), (82), (85),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (99), (102), (103), (106), (108), (121),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (140), (180), (182), (285), (289), (293),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (294), (296), (301), (303), (307), (309), (316),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (318), (325), (334), (373), (382), (385), (388),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (391), (394), (398), (450), (453), (454), (456),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (461), (466), (468), (474), (475), (496), (500),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (512), (518), (521), (522), (527), (533), (538),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (542), (545), (552), (577), (588), (590), (601),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (603), (613), (1286), (1302), (1305), (1326),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1397), (1398), (1400), (1415), (1437), (1646),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1650), (1654), (1659), (1661), (1667),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #77.
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1668)  all_8_4 = e2 &  ~ (all_8_5 = e4)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1668) implies:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1669)  all_8_4 = e2
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (1669) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1670)  op(e4, all_4_2) = e2
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1671)  all_6_5 = e2
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (500), (1671) are inconsistent by sub-proof
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #153.
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1672)   ~ (all_6_5 = e2)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1673)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_5 = e0
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1674)  all_6_3 = e2
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (512), (1674) are inconsistent by sub-proof
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #152.
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1675)   ~ (all_6_3 = e2)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1676)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 |
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_3 = e0
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1677)  all_10_4 = e1
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (1677) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1678)  all_4_10 = e1
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1678) implies:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1679)  all_4_10 = e1
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (1679) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1680)   ~ (all_4_14 = e1)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1680) implies:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1681)   ~ (all_4_14 = e1)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (1679) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1682)   ~ (all_4_15 = e1)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1682) implies:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1683)   ~ (all_4_15 = e1)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1400) gives:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1684)  all_6_22 = e4
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (1684) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1685)  all_4_14 = e4
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1685) implies:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1686)  all_4_14 = e4
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (1686) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1687)   ~ (all_4_4 = e4)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1398), (1686) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1688)  op(e2, e4) = e0
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1650) gives:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1689)  all_6_20 = e4
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (1689) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1690)  all_4_4 = e4
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1687), (1690) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1691)  $false
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1691) is inconsistent.
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1692)  all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1692) gives:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1693)  all_6_20 = e1
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (1693) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1694)  all_4_4 = e1
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1305), (1694) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1695)  $false
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1695) is inconsistent.
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1696)  all_6_20 = e3 | all_6_20 = e0
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1697)  all_10_20 = e3
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (1697) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1698)  all_4_4 = e3
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1698) implies:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1699)  all_4_4 = e3
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (1699) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1700)   ~ (all_4_1 = e3)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, e2, simplifying with (131), (1688) gives:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1701)  all_4_2 = e0
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (1701) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1702)   ~ (all_4_1 = e0)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (1701) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1703)   ~ (all_4_7 = e0)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1703) implies:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1704)   ~ (all_4_7 = e0)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1705)  all_10_1 = e0
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (1705) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1706)  all_4_5 = e0
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (85), (136), (296), (388), (450), (456),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (468), (512), (518), (538), (553), (603), (1292),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1302), (1642), (1661), (1665), (1673), (1676),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1683), (1700), (1702), (1706), (function-axioms)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #68.
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1707)   ~ (all_10_1 = e0)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (1707) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1708)   ~ (all_4_5 = e0)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (454), (456), (518), (601), (603), (1286),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1326), (1661), (1704), (1708) are inconsistent by
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #109.
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1709)   ~ (all_10_20 = e3)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (334), (1709) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1710)   ~ (all_4_4 = e3)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (588), (1696), (1710) are inconsistent by
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #122.
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1711)  all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (466), (527), (533), (1681), (1711) are
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #130.
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1712)   ~ (all_10_4 = e1)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1713)  all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_22 = e1
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (391), (1712) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1714)   ~ (all_4_10 = e1)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (27), (34), (35), (57),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (81), (82), (88), (89), (102), (103), (106),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (137), (286), (293), (294), (296), (303), (307),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (309), (313), (316), (318), (325), (328), (334),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (345), (351), (361), (367), (373), (382), (385),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (388), (391), (394), (398), (450), (453), (454),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (461), (475), (496), (500), (516), (521), (522),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (527), (533), (549), (588), (590), (601), (613),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1286), (1302), (1326), (1330), (1334), (1398),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1415), (1420), (1437), (1650), (1654), (1659),
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1670), (1673), (1713), (1714), (function-axioms)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #71.
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1715)  (all_8_7 = e1 &  ~ (all_8_8 = e4)) | (all_8_10 =
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_11 = e4))
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1715) gives:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1716)  all_8_7 = e1 &  ~ (all_8_8 = e4)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1716) implies:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1717)   ~ (all_8_8 = e4)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1320), (1717) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1718)  $false
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1718) is inconsistent.
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1719)  all_8_10 = e0 &  ~ (all_8_11 = e4)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1719) implies:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1720)  all_8_10 = e0
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (1720) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1721)  op(e4, all_4_4) = e0
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1722)  all_6_5 = e2
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (500), (1722) are inconsistent by sub-proof
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #153.
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1723)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_5 = e0
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1724)  all_6_3 = e2
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (512), (1724) are inconsistent by sub-proof
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #152.
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1725)   ~ (all_6_3 = e2)
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1726)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 |
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_3 = e0
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1727)  all_10_4 = e1
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (1727) imply:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1728)  all_4_10 = e1
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1728) implies:
% 73.14/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1729)  all_4_10 = e1
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (1729) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1730)   ~ (all_4_14 = e1)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1730) implies:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1731)   ~ (all_4_14 = e1)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (1729) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1732)   ~ (all_4_15 = e1)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1732) implies:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1733)   ~ (all_4_15 = e1)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1400) gives:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1734)  all_6_22 = e4
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (1734) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1735)  all_4_14 = e4
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1735) implies:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1736)  all_4_14 = e4
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (1736) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1737)   ~ (all_4_4 = e4)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1398), (1736) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1738)  op(e2, e4) = e0
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1650) gives:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1739)  all_6_20 = e4
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (1739) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1740)  all_4_4 = e4
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1737), (1740) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1741)  $false
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1741) is inconsistent.
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1742)  all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1742) gives:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1743)  all_6_20 = e1
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (1743) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1744)  all_4_4 = e1
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1305), (1744) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1745)  $false
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1745) is inconsistent.
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1746)  all_6_20 = e3 | all_6_20 = e0
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1747)  all_10_20 = e3
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (1747) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1748)  all_4_4 = e3
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1748) implies:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1749)  all_4_4 = e3
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (1749) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1750)   ~ (all_4_1 = e3)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1721), (1749) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1751)  op(e4, e3) = e0
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, e2, simplifying with (131), (1738) gives:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1752)  all_4_2 = e0
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5, e0,
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e4, simplifying with (140), (1751) gives:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1753)  all_4_5 = e0
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (1752) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1754)   ~ (all_4_1 = e0)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (85), (136), (296), (388), (450), (456),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (468), (512), (518), (538), (553), (603), (1292),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1302), (1642), (1661), (1665), (1723), (1726),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1733), (1750), (1753), (1754), (function-axioms)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #68.
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1755)   ~ (all_10_20 = e3)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (334), (1755) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1756)   ~ (all_4_4 = e3)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (588), (1746), (1756) are inconsistent by
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #122.
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1757)  all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (466), (527), (533), (1731), (1757) are
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #130.
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1758)   ~ (all_10_4 = e1)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (15), (27), (34), (102),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (103), (106), (286), (293), (303), (307), (316),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (318), (325), (334), (373), (382), (385), (391),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (394), (398), (450), (453), (461), (475), (496),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (521), (522), (550), (588), (590), (601), (613),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1286), (1302), (1305), (1334), (1415), (1437),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1650), (1654), (1659), (1721), (1723), (1758),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #70.
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1759)  all_8_42 = e3 &  ~ (all_8_43 = e1)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1759) implies:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1760)  all_8_42 = e3
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (1760) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1761)  op(e1, all_4_16) = e3
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1762)  (all_8_1 = e3 &  ~ (all_8_2 = e4)) | (all_8_4 = e2
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_8_5 = e4))
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1762) gives:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1763)  all_8_1 = e3 &  ~ (all_8_2 = e4)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (15), (27), (34), (35),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (56), (57), (58), (80), (81), (82), (85),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (99), (102), (103), (106), (108), (121),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (140), (180), (182), (285), (289), (293),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (294), (296), (301), (303), (307), (309), (316),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (318), (325), (334), (373), (382), (385), (388),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (391), (394), (398), (450), (453), (454), (456),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (461), (466), (468), (474), (475), (496), (500),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (512), (518), (521), (522), (527), (533), (538),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (542), (545), (552), (577), (588), (590), (601),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (603), (613), (1286), (1302), (1305), (1326),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1397), (1398), (1400), (1415), (1437), (1646),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1650), (1654), (1659), (1661), (1763),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #77.
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1764)  all_8_4 = e2 &  ~ (all_8_5 = e4)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1764) implies:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1765)  all_8_4 = e2
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (1765) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1766)  op(e4, all_4_2) = e2
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1767)  all_6_5 = e2
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (500), (1767) are inconsistent by sub-proof
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #153.
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1768)   ~ (all_6_5 = e2)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1769)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_5 = e0
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1770)  all_10_4 = e1
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (1770) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1771)  all_4_10 = e1
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1771) implies:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1772)  all_4_10 = e1
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (1772) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1773)   ~ (all_4_14 = e1)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1773) implies:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1774)   ~ (all_4_14 = e1)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1400) gives:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1775)  all_6_22 = e4
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (1775) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1776)  all_4_14 = e4
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1776) implies:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1777)  all_4_14 = e4
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (1777) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1778)   ~ (all_4_4 = e4)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1398), (1777) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1779)  op(e2, e4) = e0
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (1777) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1780)  op(e0, e4) = all_8_37
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1650) gives:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1781)  all_6_20 = e4
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (1781) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1782)  all_4_4 = e4
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1778), (1782) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1783)  $false
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1783) is inconsistent.
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1784)  all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1784) gives:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1785)  all_6_20 = e1
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (1785) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1786)  all_4_4 = e1
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1305), (1786) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1787)  $false
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1787) is inconsistent.
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1788)  all_6_20 = e3 | all_6_20 = e0
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1789)  all_10_20 = e3
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (1789) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1790)  all_4_4 = e3
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1790) implies:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1791)  all_4_4 = e3
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1791) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1792)  op(e0, e4) = e3
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_37,
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, e0, simplifying with (1780), (1792) gives:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1793)  all_8_37 = e3
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, e2, simplifying with (131), (1779) gives:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1794)  all_4_2 = e0
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (1794) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1795)   ~ (all_4_7 = e0)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1795) implies:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1796)   ~ (all_4_7 = e0)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1797)  all_10_1 = e0
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (1797) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1798)  all_4_5 = e0
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (81), (293), (325), (373), (388), (496),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (508), (535), (590), (1319), (1415), (1761),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1798), (function-axioms) are inconsistent by
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #67.
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1799)   ~ (all_10_1 = e0)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (1799) imply:
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1800)   ~ (all_4_5 = e0)
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (454), (456), (518), (601), (603), (1286),
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1326), (1661), (1796), (1800) are inconsistent by
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #109.
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1801)   ~ (all_10_20 = e3)
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (334), (1801) imply:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1802)   ~ (all_4_4 = e3)
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (588), (1788), (1802) are inconsistent by
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #122.
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1803)  all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (466), (527), (533), (1774), (1803) are
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #130.
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1804)   ~ (all_10_4 = e1)
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1805)  all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_22 = e1
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (391), (1804) imply:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1806)   ~ (all_4_10 = e1)
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (27), (34), (35), (57),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (81), (82), (88), (89), (102), (103), (106),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (137), (286), (293), (294), (296), (303), (307),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (309), (313), (316), (318), (325), (328), (334),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (345), (351), (361), (367), (373), (382), (385),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (388), (391), (394), (398), (450), (453), (454),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (461), (475), (496), (500), (516), (521), (522),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (527), (533), (549), (588), (590), (601), (613),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1286), (1302), (1326), (1330), (1334), (1398),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1415), (1420), (1437), (1650), (1654), (1659),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1766), (1769), (1805), (1806), (function-axioms)
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #71.
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1807)  (all_8_7 = e1 &  ~ (all_8_8 = e4)) | (all_8_10 =
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_11 = e4))
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1807) gives:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1808)  all_8_7 = e1 &  ~ (all_8_8 = e4)
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1808) implies:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1809)   ~ (all_8_8 = e4)
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1320), (1809) imply:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1810)  $false
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1810) is inconsistent.
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1811)  all_8_10 = e0 &  ~ (all_8_11 = e4)
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1811) implies:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1812)  all_8_10 = e0
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (1812) imply:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1813)  op(e4, all_4_4) = e0
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1814)  all_6_5 = e2
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (500), (1814) are inconsistent by sub-proof
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #153.
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1815)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_5 = e0
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1816)  all_10_4 = e1
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (1816) imply:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1817)  all_4_10 = e1
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1817) implies:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1818)  all_4_10 = e1
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (1818) imply:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1819)   ~ (all_4_14 = e1)
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1819) implies:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1820)   ~ (all_4_14 = e1)
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1400) gives:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1821)  all_6_22 = e4
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (1821) imply:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1822)  all_4_14 = e4
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1822) implies:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1823)  all_4_14 = e4
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (1823) imply:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1824)   ~ (all_4_4 = e4)
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (1823) imply:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1825)  op(e0, e4) = all_8_37
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1650) gives:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1826)  all_6_20 = e4
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (1826) imply:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1827)  all_4_4 = e4
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1824), (1827) imply:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1828)  $false
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1828) is inconsistent.
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1829)  all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1829) gives:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1830)  all_6_20 = e1
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (1830) imply:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1831)  all_4_4 = e1
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1305), (1831) imply:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1832)  $false
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1832) is inconsistent.
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1833)  all_6_20 = e3 | all_6_20 = e0
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1834)  all_10_20 = e3
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (1834) imply:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1835)  all_4_4 = e3
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1835) implies:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1836)  all_4_4 = e3
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1813), (1836) imply:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1837)  op(e4, e3) = e0
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1836) imply:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1838)  op(e0, e4) = e3
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_37,
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, e0, simplifying with (1825), (1838) gives:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1839)  all_8_37 = e3
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5, e0,
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e4, simplifying with (140), (1837) gives:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1840)  all_4_5 = e0
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (81), (293), (325), (373), (388), (496),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (508), (535), (590), (1319), (1415), (1761),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1840), (function-axioms) are inconsistent by
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #67.
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1841)   ~ (all_10_20 = e3)
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (334), (1841) imply:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1842)   ~ (all_4_4 = e3)
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (588), (1833), (1842) are inconsistent by
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #122.
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1843)  all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (466), (527), (533), (1820), (1843) are
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #130.
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1844)   ~ (all_10_4 = e1)
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (15), (27), (34), (102),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (103), (106), (286), (293), (303), (307), (316),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (318), (325), (334), (373), (382), (385), (391),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (394), (398), (450), (453), (461), (475), (496),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (521), (522), (550), (588), (590), (601), (613),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1286), (1302), (1305), (1334), (1415), (1437),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1650), (1654), (1659), (1813), (1815), (1844),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #70.
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1845)  (all_8_45 = e2 &  ~ (all_8_46 = e1)) | (all_8_49 =
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_50 = e1))
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1845) gives:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1846)  all_8_45 = e2 &  ~ (all_8_46 = e1)
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1846) implies:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1847)  all_8_45 = e2
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1440), (1847) imply:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1848)  e2 = e0
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1848) imply:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1849)  $false
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1849) is inconsistent.
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1850)  all_8_49 = e0 &  ~ (all_8_50 = e1)
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1850) implies:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1851)  all_8_49 = e0
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (1851) imply:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1852)  op(e1, all_4_19) = e0
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1853)  (all_8_1 = e3 &  ~ (all_8_2 = e4)) | (all_8_4 = e2
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_8_5 = e4))
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1853) gives:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1854)  all_8_1 = e3 &  ~ (all_8_2 = e4)
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (15), (27), (34), (35),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (38), (56), (57), (58), (80), (81), (82), (85),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (99), (102), (103), (106), (108), (121),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (140), (180), (182), (285), (289), (293),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (294), (296), (301), (303), (307), (309), (316),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (318), (325), (334), (373), (382), (385), (388),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (391), (394), (398), (450), (453), (454), (456),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (461), (466), (468), (474), (475), (496), (500),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (512), (518), (521), (522), (527), (533), (538),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (542), (545), (552), (577), (588), (590), (601),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (603), (613), (1286), (1302), (1305), (1326),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1397), (1398), (1400), (1415), (1437), (1646),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1650), (1654), (1659), (1661), (1854),
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #77.
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1855)  all_8_4 = e2 &  ~ (all_8_5 = e4)
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1855) implies:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1856)  all_8_4 = e2
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (1856) imply:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1857)  op(e4, all_4_2) = e2
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1858)  all_6_5 = e2
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (500), (1858) are inconsistent by sub-proof
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #153.
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1859)   ~ (all_6_5 = e2)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1860)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_5 = e0
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1861)  all_10_4 = e1
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (58), (283), (325), (328), (334), (391),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (466), (510), (522), (527), (533), (585), (1305),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1400), (1403), (1852), (1861), (function-axioms)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #66.
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1862)   ~ (all_10_4 = e1)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1863)  all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_22 = e1
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (391), (1862) imply:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1864)   ~ (all_4_10 = e1)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (27), (34), (35), (57),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (81), (82), (88), (89), (102), (103), (106),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (137), (286), (293), (294), (296), (303), (307),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (309), (313), (316), (318), (325), (328), (334),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (345), (351), (361), (367), (373), (382), (385),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (388), (391), (394), (398), (450), (453), (454),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (461), (475), (496), (500), (516), (521), (522),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (527), (533), (549), (588), (590), (601), (613),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1286), (1302), (1326), (1330), (1334), (1398),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1415), (1420), (1437), (1650), (1654), (1659),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1857), (1860), (1863), (1864), (function-axioms)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #71.
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1865)  (all_8_7 = e1 &  ~ (all_8_8 = e4)) | (all_8_10 =
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_11 = e4))
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1865) gives:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1866)  all_8_7 = e1 &  ~ (all_8_8 = e4)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1866) implies:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1867)   ~ (all_8_8 = e4)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1320), (1867) imply:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1868)  $false
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1868) is inconsistent.
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1869)  all_8_10 = e0 &  ~ (all_8_11 = e4)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1869) implies:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1870)  all_8_10 = e0
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (1870) imply:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1871)  op(e4, all_4_4) = e0
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1872)  all_6_5 = e2
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (500), (1872) are inconsistent by sub-proof
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #153.
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1873)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_5 = e0
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1874)  all_10_4 = e1
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (58), (283), (325), (328), (334), (391),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (466), (510), (522), (527), (533), (585), (1305),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1400), (1403), (1852), (1874), (function-axioms)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #66.
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1875)   ~ (all_10_4 = e1)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (15), (27), (34), (102),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (103), (106), (286), (293), (303), (307), (316),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (318), (325), (334), (373), (382), (385), (391),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (394), (398), (450), (453), (461), (475), (496),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (521), (522), (550), (588), (590), (601), (613),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1286), (1302), (1305), (1334), (1415), (1437),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1650), (1654), (1659), (1871), (1873), (1875),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #70.
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1876)  (all_8_20 = e1 &  ~ (all_8_21 = e3)) | (all_8_23 =
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_24 = e3))
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1876) gives:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1877)  all_8_20 = e1 &  ~ (all_8_21 = e3)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1877) implies:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1878)   ~ (all_8_21 = e3)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1322), (1878) imply:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1879)  $false
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1879) is inconsistent.
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1880)  all_8_23 = e0 &  ~ (all_8_24 = e3)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1880) implies:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1881)  all_8_23 = e0
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1442), (1881) imply:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1882)  e2 = e0
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1882) implies:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1883)  e2 = e0
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1883) imply:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1884)  $false
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1884) is inconsistent.
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | |   (1885)  all_10_15 = e2 | all_10_23 = e2
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (325), (496), (1405), (1885) are
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #87.
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | |   (1886)   ~ (all_6_21 = e2)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | |   (1887)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 |
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | |           all_6_21 = e0
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | REDUCE: (460), (1886) imply:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | |   (1888)   ~ (all_4_9 = e2)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | |   (1889)  all_10_1 = e2
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (1889) imply:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | |   (1890)  all_4_5 = e2
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (1890) imply:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | |   (1891)  $false
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1891) is inconsistent.
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | |   (1892)  all_10_3 = e2 | all_10_7 = e2 | all_10_13 = e2 |
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | |           all_10_21 = e2
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1892) gives:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | |   (1893)  all_10_3 = e2
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (600), (1893) are inconsistent by sub-proof
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | |            #65.
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | |   (1894)  all_10_7 = e2 | all_10_13 = e2 | all_10_21 = e2
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1894) gives:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | |   (1895)  all_10_7 = e2
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (1895) imply:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | |   (1896)  all_4_7 = e2
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (1896) imply:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | |   (1897)   ~ (all_4_17 = e2)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1897) implies:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | |   (1898)   ~ (all_4_17 = e2)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (58), (64), (118), (183), (295),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | |            (301), (303), (325), (328), (345), (357), (361),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | |            (373), (388), (391), (460), (461), (466), (496),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | |            (510), (512), (521), (522), (527), (533), (577),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | |            (589), (607), (1288), (1330), (1334), (1397),
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | |            (1400), (1887), (1898), (function-axioms) are
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #125.
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | |   (1899)  all_10_13 = e2 | all_10_21 = e2
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (331), (348), (1264), (1888), (1899) are
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #64.
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | End of split
% 73.14/10.76  | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.76  | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | |   (1900)   ~ (all_6_7 = e2)
% 73.14/10.76  | | | | | | | | | | | | | | | | |   (1901)  all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 |
% 73.14/10.76  | | | | | | | | | | | | | | | | |           all_6_7 = e0
% 73.14/10.76  | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | REDUCE: (462), (1900) imply:
% 73.14/10.76  | | | | | | | | | | | | | | | | |   (1902)   ~ (all_4_11 = e2)
% 73.14/10.76  | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | BETA: splitting (1901) gives:
% 73.14/10.76  | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | |   (1903)  all_6_7 = e4
% 73.14/10.76  | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (1903) imply:
% 73.14/10.76  | | | | | | | | | | | | | | | | | |   (1904)  all_4_11 = e4
% 73.14/10.76  | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | SIMP: (1904) implies:
% 73.14/10.76  | | | | | | | | | | | | | | | | | |   (1905)  all_4_11 = e4
% 73.14/10.76  | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (1905) imply:
% 73.14/10.76  | | | | | | | | | | | | | | | | | |   (1906)  all_10_5 = e4
% 73.14/10.76  | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | REDUCE: (61), (1905) imply:
% 73.14/10.76  | | | | | | | | | | | | | | | | | |   (1907)   ~ (all_4_10 = e4)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | REDUCE: (51), (1905) imply:
% 73.14/10.76  | | | | | | | | | | | | | | | | | |   (1908)   ~ (all_4_21 = e4)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | SIMP: (1908) implies:
% 73.14/10.76  | | | | | | | | | | | | | | | | | |   (1909)   ~ (all_4_21 = e4)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | |   (1910)  all_6_9 = e2
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (1315), (1910) are inconsistent by
% 73.14/10.76  | | | | | | | | | | | | | | | | | | |            sub-proof #158.
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | |   (1911)   ~ (all_6_9 = e2)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | |   (1912)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 |
% 73.14/10.76  | | | | | | | | | | | | | | | | | | |           all_6_9 = e0
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | |   (1913)  all_10_4 = e2
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (1913) imply:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | |   (1914)  all_4_10 = e2
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | REDUCE: (510), (1914) imply:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | |   (1915)  $false
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | CLOSE: (1915) is inconsistent.
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | |   (1916)   ~ (all_10_4 = e2)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | |   (1917)  all_10_5 = e2 | all_10_8 = e2 | all_10_14 = e2 |
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | |           all_10_22 = e2
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1917) gives:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | |   (1918)  all_10_5 = e2
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1906), (1918) imply:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | |   (1919)  e4 = e2
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1919) imply:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | |   (1920)  $false
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | CLOSE: (1920) is inconsistent.
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | |   (1921)   ~ (all_10_5 = e2)
% 73.14/10.76  | | | | | | | | | | | | | | | | | | | | |   (1922)  all_10_8 = e2 | all_10_14 = e2 | all_10_22 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | |   (1923)  all_10_2 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (1923) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | |   (1924)  all_4_1 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (500), (1924) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | |   (1925)  $false
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1925) is inconsistent.
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | |   (1926)  all_10_3 = e2 | all_10_5 = e2 | all_10_10 = e2 |
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | |           all_10_17 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1926) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | |   (1927)  all_10_3 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (600), (1927) are inconsistent by sub-proof
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | |            #65.
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | |   (1928)  all_10_5 = e2 | all_10_10 = e2 | all_10_17 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1922) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | |   (1929)  all_10_8 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (361), (1929) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | |   (1930)  e3 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1930) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | |   (1931)  $false
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1931) is inconsistent.
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | |   (1932)  all_10_14 = e2 | all_10_22 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (1933)  all_6_2 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (1933) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (1934)  all_4_10 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (510), (1934) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (1935)  $false
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1935) is inconsistent.
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (1936)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 |
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_2 = e0
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1928) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1937)  all_10_5 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1906), (1937) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1938)  e4 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1938) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1939)  $false
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1939) is inconsistent.
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1940)  all_10_10 = e2 | all_10_17 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1940) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1941)  all_10_10 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (1941) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1942)  all_4_16 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (1942) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1943)   ~ (all_4_21 = e2)
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1932) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1944)  all_10_14 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (345), (1944) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1945)  e2 = e0
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1945) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1946)  $false
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1946) is inconsistent.
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1947)  all_10_22 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (1947) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1948)  all_4_14 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (1948) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1949)   ~ (all_4_9 = e2)
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1950)  all_6_21 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (1949), (1950) are inconsistent by
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #157.
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1951)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 |
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_21 = e0
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1936) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1952)  all_6_2 = e4
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (1907), (1952) are inconsistent by
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #164.
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1953)  all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1912) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1954)  all_6_9 = e4
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (1909), (1954) are inconsistent by
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #114.
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1955)  all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1955) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1956)  all_6_9 = e1
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (613), (1956) are inconsistent by sub-proof
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #113.
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1957)  all_6_9 = e3 | all_6_9 = e0
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1957) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1958)  all_6_9 = e3
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (1958) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1959)  all_4_21 = e3
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1959) implies:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1960)  all_4_21 = e3
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (1960) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1961)  all_10_17 = e3
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (27), (1960) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1962)   ~ (all_4_20 = e3)
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1963)  all_10_2 = e0
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (1963) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1964)  all_4_1 = e0
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (1964) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1965)   ~ (all_4_2 = e0)
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1965) implies:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1966)   ~ (all_4_2 = e0)
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (1964) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1967)   ~ (all_4_4 = e0)
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (545), (1964) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1968)  op(e4, e0) = all_8_1
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1969)  all_10_4 = e1
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (1969) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1970)  all_4_10 = e1
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (1970) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1971)   ~ (all_4_15 = e1)
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1971) implies:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1972)   ~ (all_4_15 = e1)
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (1970) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1973)   ~ (all_4_20 = e1)
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1973) implies:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1974)   ~ (all_4_20 = e1)
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1975)  all_6_10 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (451), (1975) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1976)  all_4_2 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (502), (1976) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1977)  $false
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1977) is inconsistent.
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1978)  all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 |
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_10 = e0
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1979)  all_6_4 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (474), (514), (1979) are inconsistent by sub-proof
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #154.
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1980)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 |
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_4 = e0
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1951) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1981)  all_6_21 = e4
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1981) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1982)  all_4_9 = e4
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (1982) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1983)  op(e0, e3) = e4
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1980) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1984)  all_6_4 = e4
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (1984) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1985)  all_4_20 = e4
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1985) implies:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1986)  all_4_20 = e4
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (1986) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1987)   ~ (all_4_5 = e4)
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (1986) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1988)  op(e4, e0) = e4
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1989)  all_10_1 = e0
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (1989) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1990)  all_4_5 = e0
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1991)  all_6_20 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (1991) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1992)  all_4_4 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1992) implies:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1993)  all_4_4 = e2
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (506), (1993) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1994)  $false
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1994) is inconsistent.
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1995)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 |
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_20 = e0
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1996)  all_10_6 = e4
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (367), (1996) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1997)  all_4_2 = e4
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (1997) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1998)   ~ (all_4_4 = e4)
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1998) implies:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1999)   ~ (all_4_4 = e4)
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (1997) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2000)  op(e2, e4) = all_8_5
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (1997) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2001)  op(e2, e4) = e4
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2002)  all_10_0 = e3
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (398), (2002) are inconsistent by sub-proof
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #104.
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2003)  all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_16 = e3
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1995) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2004)  all_6_20 = e4
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (1999), (2004) are inconsistent by
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #74.
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2005)  all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2005) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2006)  all_6_20 = e1
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (2006) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2007)  all_4_4 = e1
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1305), (2007) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2008)  $false
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2008) is inconsistent.
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2009)   ~ (all_6_20 = e1)
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2010)  all_6_20 = e3 | all_6_20 = e0
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2011)  all_10_20 = e3
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (2011) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2012)  all_4_4 = e3
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (2012) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2013)  op(e0, e3) = all_8_11
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2003) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2014)  all_10_1 = e3
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1989), (2014) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2015)  e3 = e0
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2015) implies:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2016)  e3 = e0
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (525), (2016) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2017)  $false
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2017) is inconsistent.
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2018)  all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (296) gives:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2019)  all_10_9 = e3
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (2019) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2020)  all_4_15 = e3
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1323), (2020) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2021)  all_8_7 = e3
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (538), (2020) imply:
% 73.14/10.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2022)   ~ (e4 = e3)
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_11,
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (1983), (2013) gives:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2023)  all_8_11 = e4
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_5,
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, e2, simplifying with (2000), (2001) gives:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2024)  all_8_5 = e4
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_1,
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e4, simplifying with (1968), (1988) gives:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2025)  all_8_1 = e4
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2026)  (all_8_1 = e3 &  ~ (all_8_2 = e4)) | (all_8_4 = e2
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_8_5 = e4))
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2026) gives:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2027)  all_8_1 = e3 &  ~ (all_8_2 = e4)
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2027) implies:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2028)  all_8_1 = e3
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2025), (2028) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2029)  e4 = e3
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2029) implies:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2030)  e4 = e3
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2030) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2031)  $false
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2031) is inconsistent.
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2032)  all_8_4 = e2 &  ~ (all_8_5 = e4)
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2032) implies:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2033)   ~ (all_8_5 = e4)
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2024), (2033) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2034)  $false
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2034) is inconsistent.
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2035)  (all_8_7 = e1 &  ~ (all_8_8 = e4)) | (all_8_10 =
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_11 = e4))
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2035) gives:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2036)  all_8_7 = e1 &  ~ (all_8_8 = e4)
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2021), (2036) are inconsistent by sub-proof
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #101.
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2037)  all_8_10 = e0 &  ~ (all_8_11 = e4)
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2037) implies:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2038)   ~ (all_8_11 = e4)
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2023), (2038) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2039)  $false
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2039) is inconsistent.
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2040)   ~ (all_10_9 = e3)
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (388), (2040) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2041)   ~ (all_4_15 = e3)
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2018) gives:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2042)  all_10_4 = e3
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1969), (2042) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2043)  e3 = e1
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2043) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2044)  $false
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2044) is inconsistent.
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2045)  all_10_9 = e3 | all_10_16 = e3
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (385), (388), (1962), (2041), (2045) are
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #63.
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2046)   ~ (all_10_20 = e3)
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (334), (2046) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2047)   ~ (all_4_4 = e3)
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (588), (2010), (2047) are inconsistent by
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #122.
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2048)   ~ (all_10_6 = e4)
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (2048) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2049)   ~ (all_4_2 = e4)
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (451), (515), (1303), (1966), (1978), (2049) are
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #61.
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2050)   ~ (all_10_1 = e0)
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (2050) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2051)   ~ (all_4_5 = e0)
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (601), (1286), (1326), (1987), (2051) are
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #134.
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2052)  all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (474), (591), (1962), (1974), (2052) are
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #95.
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2053)  all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (589), (607), (1288), (2053) are
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #126.
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2054)   ~ (all_10_4 = e1)
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (391), (2054) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2055)   ~ (all_4_10 = e1)
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (521), (522), (1953), (2055) are
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #162.
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2056)  all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 |
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_17 = e0
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2056) gives:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2057)  all_10_3 = e0
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (2057) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2058)  e1 = e0
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (2058) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2059)  $false
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2059) is inconsistent.
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2060)  all_10_5 = e0 | all_10_10 = e0 | all_10_17 = e0
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2060) gives:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2061)  all_10_5 = e0
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1906), (2061) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2062)  e4 = e0
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (535), (2062) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2063)  $false
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2063) is inconsistent.
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2064)  all_10_10 = e0 | all_10_17 = e0
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2064) gives:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2065)  all_10_10 = e0
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1941), (2065) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2066)  e2 = e0
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2066) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2067)  $false
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2067) is inconsistent.
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2068)  all_10_17 = e0
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1961), (2068) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2069)  e3 = e0
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (525), (2069) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2070)  $false
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2070) is inconsistent.
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2071)  all_6_9 = e0
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (592), (2071) are inconsistent by sub-proof
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #112.
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2072)  all_10_17 = e2
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (2072) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2073)  all_4_21 = e2
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1315), (2073) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2074)  $false
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2074) is inconsistent.
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | |   (2075)  all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 73.14/10.78  | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (523), (524), (609), (2075) are
% 73.14/10.78  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #91.
% 73.14/10.78  | | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | |   (2076)   ~ (all_6_19 = e2)
% 73.14/10.78  | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | REDUCE: (479), (2076) imply:
% 73.14/10.78  | | | | | | | | | | | | | | |   (2077)   ~ (all_4_23 = e2)
% 73.14/10.78  | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | REF_CLOSE: (10), (337), (496), (1296), (2077) are
% 73.14/10.78  | | | | | | | | | | | | | | |            inconsistent by sub-proof #60.
% 73.14/10.78  | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | |   (2078)   ~ (all_6_15 = e1)
% 73.14/10.78  | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | REDUCE: (452), (2078) imply:
% 73.14/10.78  | | | | | | | | | | | | | |   (2079)   ~ (all_4_3 = e1)
% 73.14/10.78  | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | BETA: splitting (1296) gives:
% 73.14/10.78  | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | Case 1:
% 73.14/10.78  | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | |   (2080)  all_10_15 = e2
% 73.14/10.78  | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | COMBINE_EQS: (496), (2080) imply:
% 73.14/10.78  | | | | | | | | | | | | | | |   (2081)  e4 = e2
% 73.14/10.78  | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | REDUCE: (10), (2081) imply:
% 73.14/10.78  | | | | | | | | | | | | | | |   (2082)  $false
% 73.14/10.78  | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | CLOSE: (2082) is inconsistent.
% 73.14/10.78  | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | |   (2083)  all_10_19 = e2
% 73.14/10.78  | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | COMBINE_EQS: (337), (2083) imply:
% 73.14/10.78  | | | | | | | | | | | | | | |   (2084)  all_4_23 = e2
% 73.14/10.78  | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 73.14/10.78  | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | Case 1:
% 73.14/10.78  | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | |   (2085)  all_10_12 = e1
% 73.14/10.78  | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | REF_CLOSE: (351), (2079), (2085) are inconsistent by
% 73.14/10.78  | | | | | | | | | | | | | | | |            sub-proof #59.
% 73.14/10.78  | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | |   (2086)  all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 |
% 73.14/10.78  | | | | | | | | | | | | | | | |           all_10_19 = e1
% 73.14/10.78  | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | BETA: splitting (2086) gives:
% 73.14/10.78  | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.78  | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | |   (2087)  all_10_13 = e1
% 73.14/10.78  | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | COMBINE_EQS: (1284), (2087) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | |   (2088)  e3 = e1
% 73.14/10.78  | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | SIMP: (2088) implies:
% 73.14/10.78  | | | | | | | | | | | | | | | | |   (2089)  e3 = e1
% 73.14/10.78  | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | REDUCE: (7), (2089) imply:
% 73.14/10.78  | | | | | | | | | | | | | | | | |   (2090)  $false
% 73.14/10.78  | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | CLOSE: (2090) is inconsistent.
% 73.14/10.78  | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | |   (2091)  all_10_14 = e1 | all_10_15 = e1 | all_10_19 = e1
% 73.14/10.78  | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (345), (496), (2083), (2091) are
% 73.14/10.78  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #58.
% 73.14/10.78  | | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | Case 2:
% 73.14/10.78  | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | |   (2092)  all_6_16 = e0
% 73.14/10.78  | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | COMBINE_EQS: (458), (2092) imply:
% 73.14/10.78  | | | | | | | | | | |   (2093)  all_4_8 = e0
% 73.14/10.78  | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | SIMP: (2093) implies:
% 73.14/10.78  | | | | | | | | | | |   (2094)  all_4_8 = e0
% 73.14/10.78  | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | REDUCE: (519), (2094) imply:
% 73.14/10.78  | | | | | | | | | | |   (2095)  $false
% 73.14/10.78  | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | | CLOSE: (2095) is inconsistent.
% 73.14/10.78  | | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | | 
% 73.14/10.78  | | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | | 
% 73.14/10.78  | | | | | | | | End of split
% 73.14/10.78  | | | | | | | | 
% 73.14/10.78  | | | | | | | End of split
% 73.14/10.78  | | | | | | | 
% 73.14/10.78  | | | | | | End of split
% 73.14/10.78  | | | | | | 
% 73.14/10.78  | | | | | End of split
% 73.14/10.78  | | | | | 
% 73.14/10.78  | | | | End of split
% 73.14/10.78  | | | | 
% 73.14/10.78  | | | Case 2:
% 73.14/10.78  | | | | 
% 73.14/10.79  | | | |   (2096)  all_8_67 = e1 | all_8_68 = e1 | all_8_69 = e1
% 73.14/10.79  | | | | 
% 73.14/10.79  | | | | BETA: splitting (2096) gives:
% 73.14/10.79  | | | | 
% 73.14/10.79  | | | | Case 1:
% 73.14/10.79  | | | | | 
% 73.14/10.79  | | | | |   (2097)  all_8_67 = e1
% 73.14/10.79  | | | | | 
% 73.14/10.79  | | | | | REF_CLOSE: (7), (416), (2097) are inconsistent by sub-proof #57.
% 73.14/10.79  | | | | | 
% 73.14/10.79  | | | | Case 2:
% 73.14/10.79  | | | | | 
% 73.14/10.79  | | | | |   (2098)  all_8_68 = e1 | all_8_69 = e1
% 73.14/10.79  | | | | | 
% 73.14/10.79  | | | | | BETA: splitting (2098) gives:
% 73.14/10.79  | | | | | 
% 73.14/10.79  | | | | | Case 1:
% 73.14/10.79  | | | | | | 
% 73.14/10.79  | | | | | |   (2099)  all_8_68 = e1
% 73.14/10.79  | | | | | | 
% 73.14/10.79  | | | | | | REF_CLOSE: (9), (339), (2099) are inconsistent by sub-proof #56.
% 73.14/10.79  | | | | | | 
% 73.14/10.79  | | | | | Case 2:
% 73.14/10.79  | | | | | | 
% 73.14/10.79  | | | | | |   (2100)  all_8_69 = e1
% 73.14/10.79  | | | | | | 
% 73.14/10.79  | | | | | | COMBINE_EQS: (587), (2100) imply:
% 73.14/10.79  | | | | | |   (2101)  e1 = e0
% 73.14/10.79  | | | | | | 
% 73.14/10.79  | | | | | | REDUCE: (4), (2101) imply:
% 73.14/10.79  | | | | | |   (2102)  $false
% 73.14/10.79  | | | | | | 
% 73.14/10.79  | | | | | | CLOSE: (2102) is inconsistent.
% 73.14/10.79  | | | | | | 
% 73.14/10.79  | | | | | End of split
% 73.14/10.79  | | | | | 
% 73.14/10.79  | | | | End of split
% 73.14/10.79  | | | | 
% 73.14/10.79  | | | End of split
% 73.14/10.79  | | | 
% 73.14/10.79  | | End of split
% 73.14/10.79  | | 
% 73.14/10.79  | Case 2:
% 73.14/10.79  | | 
% 73.14/10.79  | |   (2103)   ~ (all_10_24 = e0)
% 73.14/10.79  | |   (2104)  (all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0 | all_10_19 =
% 73.14/10.79  | |             e0) & (all_10_20 = e0 | all_10_21 = e0 | all_10_22 = e0 |
% 73.14/10.79  | |             all_10_23 = e0)
% 73.14/10.79  | | 
% 73.14/10.79  | | ALPHA: (2104) implies:
% 73.14/10.79  | |   (2105)  all_10_20 = e0 | all_10_21 = e0 | all_10_22 = e0 | all_10_23 = e0
% 73.14/10.79  | |   (2106)  all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0 | all_10_19 = e0
% 73.14/10.79  | | 
% 73.14/10.79  | | REDUCE: (322), (2103) imply:
% 73.14/10.79  | |   (2107)   ~ (all_4_24 = e0)
% 73.14/10.79  | | 
% 73.14/10.79  | | BETA: splitting (254) gives:
% 73.14/10.79  | | 
% 73.14/10.79  | | Case 1:
% 73.14/10.79  | | | 
% 73.14/10.79  | | |   (2108)  all_8_65 = e0
% 73.14/10.79  | | | 
% 73.14/10.79  | | | COMBINE_EQS: (400), (2108) imply:
% 73.14/10.79  | | |   (2109)  e2 = e0
% 73.14/10.79  | | | 
% 73.14/10.79  | | | SIMP: (2109) implies:
% 73.14/10.79  | | |   (2110)  e2 = e0
% 73.14/10.79  | | | 
% 73.14/10.79  | | | REDUCE: (5), (2110) imply:
% 73.14/10.79  | | |   (2111)  $false
% 73.14/10.79  | | | 
% 73.14/10.79  | | | CLOSE: (2111) is inconsistent.
% 73.14/10.79  | | | 
% 73.14/10.79  | | Case 2:
% 73.14/10.79  | | | 
% 73.14/10.79  | | |   (2112)  all_8_66 = e0 | all_8_67 = e0 | all_8_68 = e0 | all_8_69 = e0
% 73.14/10.79  | | | 
% 73.14/10.79  | | | BETA: splitting (2112) gives:
% 73.14/10.79  | | | 
% 73.14/10.79  | | | Case 1:
% 73.14/10.79  | | | | 
% 73.14/10.79  | | | |   (2113)  all_8_66 = e0
% 73.14/10.79  | | | | 
% 73.14/10.79  | | | | COMBINE_EQS: (406), (2113) imply:
% 73.14/10.79  | | | |   (2114)  all_4_6 = e0
% 73.14/10.79  | | | | 
% 73.14/10.79  | | | | SIMP: (2114) implies:
% 73.14/10.79  | | | |   (2115)  all_4_6 = e0
% 73.14/10.79  | | | | 
% 73.14/10.79  | | | | COMBINE_EQS: (379), (2115) imply:
% 73.14/10.79  | | | |   (2116)  all_10_3 = e0
% 73.14/10.79  | | | | 
% 73.14/10.79  | | | | REDUCE: (105), (2115) imply:
% 73.14/10.79  | | | |   (2117)   ~ (all_4_1 = e0)
% 73.14/10.79  | | | | 
% 73.14/10.79  | | | | REDUCE: (86), (2115) imply:
% 73.14/10.79  | | | |   (2118)   ~ (all_4_5 = e0)
% 73.14/10.79  | | | | 
% 73.14/10.79  | | | | REDUCE: (79), (2115) imply:
% 73.14/10.79  | | | |   (2119)   ~ (all_4_7 = e0)
% 73.14/10.79  | | | | 
% 73.14/10.79  | | | | SIMP: (2119) implies:
% 73.14/10.79  | | | |   (2120)   ~ (all_4_7 = e0)
% 73.14/10.79  | | | | 
% 73.14/10.79  | | | | REDUCE: (77), (2115) imply:
% 73.14/10.79  | | | |   (2121)   ~ (all_4_9 = e0)
% 73.14/10.79  | | | | 
% 73.14/10.79  | | | | SIMP: (2121) implies:
% 73.14/10.79  | | | |   (2122)   ~ (all_4_9 = e0)
% 73.14/10.79  | | | | 
% 73.14/10.79  | | | | REDUCE: (76), (2115) imply:
% 73.14/10.79  | | | |   (2123)   ~ (all_4_11 = e0)
% 73.14/10.79  | | | | 
% 73.14/10.79  | | | | REDUCE: (75), (2115) imply:
% 73.14/10.79  | | | |   (2124)   ~ (all_4_16 = e0)
% 73.14/10.79  | | | | 
% 73.14/10.79  | | | | SIMP: (2124) implies:
% 73.14/10.79  | | | |   (2125)   ~ (all_4_16 = e0)
% 73.14/10.79  | | | | 
% 73.14/10.79  | | | | REDUCE: (74), (2115) imply:
% 73.14/10.79  | | | |   (2126)   ~ (all_4_21 = e0)
% 73.14/10.79  | | | | 
% 73.14/10.79  | | | | SIMP: (2126) implies:
% 73.14/10.79  | | | |   (2127)   ~ (all_4_21 = e0)
% 73.14/10.79  | | | | 
% 73.14/10.79  | | | | REDUCE: (135), (2115) imply:
% 73.14/10.79  | | | |   (2128)  op(e3, e3) = e0
% 73.14/10.79  | | | | 
% 73.14/10.79  | | | | BETA: splitting (255) gives:
% 73.14/10.79  | | | | 
% 73.14/10.79  | | | | Case 1:
% 73.14/10.79  | | | | | 
% 73.14/10.79  | | | | |   (2129)  all_8_65 = e1
% 73.14/10.79  | | | | | 
% 73.14/10.79  | | | | | REF_CLOSE: (6), (400), (2129) are inconsistent by sub-proof #170.
% 73.14/10.79  | | | | | 
% 73.14/10.79  | | | | Case 2:
% 73.14/10.79  | | | | | 
% 73.14/10.79  | | | | |   (2130)  all_8_66 = e1 | all_8_67 = e1 | all_8_68 = e1 | all_8_69 =
% 73.14/10.79  | | | | |           e1
% 73.14/10.79  | | | | | 
% 73.14/10.79  | | | | | BETA: splitting (2130) gives:
% 73.14/10.79  | | | | | 
% 73.14/10.79  | | | | | Case 1:
% 73.14/10.79  | | | | | | 
% 73.14/10.79  | | | | | |   (2131)  all_8_66 = e1
% 73.14/10.79  | | | | | | 
% 73.14/10.79  | | | | | | COMBINE_EQS: (2113), (2131) imply:
% 73.14/10.79  | | | | | |   (2132)  e1 = e0
% 73.14/10.79  | | | | | | 
% 73.14/10.79  | | | | | | REDUCE: (4), (2132) imply:
% 73.14/10.79  | | | | | |   (2133)  $false
% 73.14/10.79  | | | | | | 
% 73.14/10.79  | | | | | | CLOSE: (2133) is inconsistent.
% 73.14/10.79  | | | | | | 
% 73.14/10.79  | | | | | Case 2:
% 73.14/10.79  | | | | | | 
% 73.14/10.79  | | | | | |   (2134)  all_8_67 = e1 | all_8_68 = e1 | all_8_69 = e1
% 73.14/10.79  | | | | | | 
% 73.14/10.79  | | | | | | BETA: splitting (2134) gives:
% 73.14/10.79  | | | | | | 
% 73.14/10.79  | | | | | | Case 1:
% 73.14/10.79  | | | | | | | 
% 73.14/10.79  | | | | | | |   (2135)  all_8_67 = e1
% 73.14/10.79  | | | | | | | 
% 73.14/10.79  | | | | | | | REF_CLOSE: (7), (416), (2135) are inconsistent by sub-proof #57.
% 73.14/10.79  | | | | | | | 
% 73.14/10.79  | | | | | | Case 2:
% 73.14/10.79  | | | | | | | 
% 73.14/10.79  | | | | | | |   (2136)   ~ (all_8_67 = e1)
% 73.14/10.79  | | | | | | |   (2137)  all_8_68 = e1 | all_8_69 = e1
% 73.14/10.79  | | | | | | | 
% 73.14/10.79  | | | | | | | BETA: splitting (2137) gives:
% 73.14/10.79  | | | | | | | 
% 73.14/10.79  | | | | | | | Case 1:
% 73.14/10.79  | | | | | | | | 
% 73.14/10.79  | | | | | | | |   (2138)  all_8_68 = e1
% 73.14/10.79  | | | | | | | | 
% 73.14/10.79  | | | | | | | | REF_CLOSE: (9), (339), (2138) are inconsistent by sub-proof #56.
% 73.14/10.79  | | | | | | | | 
% 73.14/10.79  | | | | | | | Case 2:
% 73.14/10.79  | | | | | | | | 
% 73.14/10.79  | | | | | | | |   (2139)  all_8_69 = e1
% 73.14/10.79  | | | | | | | |   (2140)   ~ (all_8_68 = e1)
% 73.14/10.79  | | | | | | | | 
% 73.14/10.79  | | | | | | | | COMBINE_EQS: (448), (2139) imply:
% 73.14/10.79  | | | | | | | |   (2141)  all_4_24 = e1
% 73.14/10.79  | | | | | | | | 
% 73.14/10.79  | | | | | | | | SIMP: (2141) implies:
% 73.14/10.79  | | | | | | | |   (2142)  all_4_24 = e1
% 73.14/10.79  | | | | | | | | 
% 73.14/10.79  | | | | | | | | COMBINE_EQS: (322), (2142) imply:
% 73.14/10.79  | | | | | | | |   (2143)  all_10_24 = e1
% 73.14/10.79  | | | | | | | | 
% 73.14/10.79  | | | | | | | | REDUCE: (87), (2142) imply:
% 73.14/10.79  | | | | | | | |   (2144)   ~ (all_4_4 = e1)
% 73.14/10.79  | | | | | | | | 
% 73.14/10.79  | | | | | | | | REDUCE: (62), (2142) imply:
% 73.14/10.79  | | | | | | | |   (2145)   ~ (all_4_9 = e1)
% 73.14/10.79  | | | | | | | | 
% 73.14/10.79  | | | | | | | | REDUCE: (42), (2142) imply:
% 73.14/10.79  | | | | | | | |   (2146)   ~ (all_4_14 = e1)
% 73.14/10.79  | | | | | | | | 
% 73.14/10.79  | | | | | | | | REDUCE: (28), (2142) imply:
% 73.14/10.79  | | | | | | | |   (2147)   ~ (all_4_19 = e1)
% 73.14/10.79  | | | | | | | | 
% 73.14/10.79  | | | | | | | | REDUCE: (21), (2142) imply:
% 73.14/10.79  | | | | | | | |   (2148)   ~ (all_4_21 = e1)
% 73.14/10.79  | | | | | | | | 
% 73.14/10.79  | | | | | | | | REDUCE: (19), (2142) imply:
% 73.14/10.79  | | | | | | | |   (2149)   ~ (all_4_22 = e1)
% 73.14/10.79  | | | | | | | | 
% 73.14/10.79  | | | | | | | | REDUCE: (18), (2142) imply:
% 73.14/10.79  | | | | | | | |   (2150)   ~ (all_4_23 = e1)
% 73.14/10.79  | | | | | | | | 
% 73.14/10.79  | | | | | | | | REDUCE: (117), (2142) imply:
% 73.14/10.79  | | | | | | | |   (2151)  op(e0, e0) = e1
% 73.14/10.79  | | | | | | | | 
% 73.14/10.79  | | | | | | | | BETA: splitting (173) gives:
% 73.14/10.79  | | | | | | | | 
% 73.14/10.79  | | | | | | | | Case 1:
% 73.14/10.79  | | | | | | | | | 
% 73.14/10.79  | | | | | | | | |   (2152)  all_6_15 = e2
% 73.14/10.79  | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | REF_CLOSE: (452), (504), (2152) are inconsistent by sub-proof
% 73.14/10.79  | | | | | | | | |            #169.
% 73.14/10.79  | | | | | | | | | 
% 73.14/10.79  | | | | | | | | Case 2:
% 73.14/10.79  | | | | | | | | | 
% 73.14/10.79  | | | | | | | | |   (2153)   ~ (all_6_15 = e2)
% 73.14/10.79  | | | | | | | | |   (2154)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e1 |
% 73.14/10.79  | | | | | | | | |           all_6_15 = e0
% 73.14/10.79  | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | BETA: splitting (168) gives:
% 73.14/10.79  | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | Case 1:
% 73.14/10.79  | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | |   (2155)  all_6_22 = e2
% 73.14/10.79  | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | COMBINE_EQS: (466), (2155) imply:
% 73.14/10.79  | | | | | | | | | |   (2156)  all_4_14 = e2
% 73.14/10.79  | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | SIMP: (2156) implies:
% 73.14/10.79  | | | | | | | | | |   (2157)  all_4_14 = e2
% 73.14/10.79  | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | COMBINE_EQS: (328), (2157) imply:
% 73.14/10.79  | | | | | | | | | |   (2158)  all_10_22 = e2
% 73.14/10.79  | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | REDUCE: (64), (2157) imply:
% 73.14/10.79  | | | | | | | | | |   (2159)   ~ (all_4_9 = e2)
% 73.14/10.79  | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | REDUCE: (53), (2157) imply:
% 73.14/10.79  | | | | | | | | | |   (2160)   ~ (all_4_11 = e2)
% 73.14/10.79  | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | REDUCE: (43), (2157) imply:
% 73.14/10.79  | | | | | | | | | |   (2161)   ~ (all_4_19 = e2)
% 73.14/10.79  | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | SIMP: (2161) implies:
% 73.14/10.79  | | | | | | | | | |   (2162)   ~ (all_4_19 = e2)
% 73.14/10.79  | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | REDUCE: (565), (2157) imply:
% 73.14/10.79  | | | | | | | | | |   (2163)  op(e2, e2) = all_8_36
% 73.14/10.79  | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | REDUCE: (577), (2157) imply:
% 73.14/10.79  | | | | | | | | | |   (2164)  op(e0, e2) = all_8_37
% 73.14/10.79  | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | REDUCE: (119), (2157) imply:
% 73.14/10.79  | | | | | | | | | |   (2165)  op(e0, e2) = e2
% 73.14/10.79  | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_37,
% 73.14/10.79  | | | | | | | | | |              e2, e0, simplifying with (2164), (2165) gives:
% 73.14/10.79  | | | | | | | | | |   (2166)  all_8_37 = e2
% 73.14/10.79  | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_36,
% 73.14/10.79  | | | | | | | | | |              e2, e2, simplifying with (14), (2163) gives:
% 73.14/10.79  | | | | | | | | | |   (2167)  all_8_36 = e3
% 73.14/10.79  | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | BETA: splitting (251) gives:
% 73.14/10.79  | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | Case 1:
% 73.14/10.79  | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | |   (2168)  (all_8_26 = e4 &  ~ (all_8_27 = e2)) | (all_8_29 =
% 73.14/10.79  | | | | | | | | | | |             e3 &  ~ (all_8_30 = e2))
% 73.14/10.79  | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | BETA: splitting (2168) gives:
% 73.14/10.79  | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | Case 1:
% 73.14/10.79  | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | |   (2169)  all_8_26 = e4 &  ~ (all_8_27 = e2)
% 73.14/10.79  | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | ALPHA: (2169) implies:
% 73.14/10.79  | | | | | | | | | | | |   (2170)  all_8_26 = e4
% 73.14/10.79  | | | | | | | | | | | |   (2171)   ~ (all_8_27 = e2)
% 73.14/10.79  | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | REDUCE: (562), (2170) imply:
% 73.14/10.79  | | | | | | | | | | | |   (2172)  op(e2, all_4_10) = e4
% 73.14/10.79  | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | BETA: splitting (171) gives:
% 73.14/10.79  | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | Case 1:
% 73.14/10.79  | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | |   (2173)  all_6_19 = e2
% 73.14/10.79  | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | COMBINE_EQS: (479), (2173) imply:
% 73.14/10.79  | | | | | | | | | | | | |   (2174)  all_4_23 = e2
% 73.14/10.79  | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | COMBINE_EQS: (337), (2174) imply:
% 73.14/10.79  | | | | | | | | | | | | |   (2175)  all_10_19 = e2
% 73.14/10.79  | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | REDUCE: (65), (2174) imply:
% 73.14/10.79  | | | | | | | | | | | | |   (2176)   ~ (all_4_8 = e2)
% 73.14/10.79  | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | REDUCE: (22), (2174) imply:
% 73.14/10.79  | | | | | | | | | | | | |   (2177)   ~ (all_4_21 = e2)
% 73.14/10.79  | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | BETA: splitting (310) gives:
% 73.14/10.79  | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | Case 1:
% 73.14/10.79  | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | |   (2178)  all_10_1 = e2
% 73.14/10.79  | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | COMBINE_EQS: (394), (2178) imply:
% 73.14/10.79  | | | | | | | | | | | | | |   (2179)  all_4_5 = e2
% 73.14/10.79  | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | REDUCE: (508), (2179) imply:
% 73.14/10.79  | | | | | | | | | | | | | |   (2180)  $false
% 73.14/10.79  | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | CLOSE: (2180) is inconsistent.
% 73.14/10.79  | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | Case 2:
% 73.14/10.79  | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | |   (2181)  all_10_3 = e2 | all_10_7 = e2 | all_10_13 = e2 |
% 73.14/10.79  | | | | | | | | | | | | | |           all_10_21 = e2
% 73.14/10.79  | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 73.14/10.79  | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | Case 1:
% 73.14/10.79  | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | |   (2182)  all_10_2 = e2
% 73.14/10.79  | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | | REF_CLOSE: (382), (500), (2182) are inconsistent by sub-proof
% 73.14/10.79  | | | | | | | | | | | | | | |            #55.
% 73.14/10.79  | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | Case 2:
% 73.14/10.79  | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | |   (2183)  all_10_3 = e2 | all_10_5 = e2 | all_10_10 = e2 |
% 73.14/10.79  | | | | | | | | | | | | | | |           all_10_17 = e2
% 73.14/10.79  | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | | BETA: splitting (2183) gives:
% 73.14/10.79  | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | | Case 1:
% 73.14/10.79  | | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | | |   (2184)  all_10_3 = e2
% 73.14/10.79  | | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2116), (2184) are inconsistent by sub-proof
% 73.14/10.79  | | | | | | | | | | | | | | | |            #54.
% 73.14/10.79  | | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | | Case 2:
% 73.14/10.79  | | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | | |   (2185)  all_10_5 = e2 | all_10_10 = e2 | all_10_17 = e2
% 73.14/10.79  | | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | | | BETA: splitting (2185) gives:
% 73.14/10.79  | | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.79  | | | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | | | |   (2186)  all_10_5 = e2
% 73.14/10.79  | | | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (2160), (2186) are inconsistent by
% 73.14/10.79  | | | | | | | | | | | | | | | | |            sub-proof #53.
% 73.14/10.79  | | | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.79  | | | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | | | |   (2187)  all_10_10 = e2 | all_10_17 = e2
% 73.14/10.79  | | | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | | | | BETA: splitting (2187) gives:
% 73.14/10.79  | | | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.79  | | | | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | | | | |   (2188)  all_10_10 = e2
% 73.14/10.79  | | | | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (2188) imply:
% 73.14/10.79  | | | | | | | | | | | | | | | | | |   (2189)  all_4_16 = e2
% 73.14/10.79  | | | | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | | | | | REDUCE: (34), (2189) imply:
% 73.14/10.79  | | | | | | | | | | | | | | | | | |   (2190)   ~ (all_4_21 = e2)
% 73.14/10.79  | | | | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | | | | | REDUCE: (539), (2189) imply:
% 73.14/10.79  | | | | | | | | | | | | | | | | | |   (2191)   ~ (e4 = e2)
% 73.14/10.79  | | | | | | | | | | | | | | | | | | 
% 73.14/10.79  | | | | | | | | | | | | | | | | | | REDUCE: (559), (2189) imply:
% 73.14/10.80  | | | | | | | | | | | | | | | | | |   (2192)  op(e3, e2) = all_8_43
% 73.14/10.80  | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | REDUCE: (133), (2189) imply:
% 73.14/10.80  | | | | | | | | | | | | | | | | | |   (2193)  op(e3, e1) = e2
% 73.14/10.80  | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | BETA: splitting (2181) gives:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | |   (2194)  all_10_3 = e2
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2116), (2194) are inconsistent by sub-proof
% 73.14/10.80  | | | | | | | | | | | | | | | | | | |            #54.
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | |   (2195)  all_10_7 = e2 | all_10_13 = e2 | all_10_21 = e2
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | BETA: splitting (2195) gives:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | |   (2196)  all_10_7 = e2
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (2196) imply:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | |   (2197)  all_4_7 = e2
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (2197) imply:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | |   (2198)   ~ (all_4_8 = e2)
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (2197) imply:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | |   (2199)   ~ (all_4_9 = e2)
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (2197) imply:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | |   (2200)   ~ (all_4_17 = e2)
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | SIMP: (2200) implies:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | |   (2201)   ~ (all_4_17 = e2)
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (2197) imply:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | |   (2202)   ~ (all_4_22 = e2)
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | SIMP: (2202) implies:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | |   (2203)   ~ (all_4_22 = e2)
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | REDUCE: (518), (2197) imply:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | |   (2204)   ~ (e3 = e2)
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (2197) imply:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | |   (2205)  op(e3, e2) = all_8_17
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_11,
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | |              all_8_17, e2, e3, simplifying with (134), (2205)
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | |              gives:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | |   (2206)  all_8_17 = all_4_11
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_43,
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | |              all_8_17, e2, e3, simplifying with (2192), (2205)
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | |              gives:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | |   (2207)  all_8_17 = all_8_43
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2206), (2207) imply:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | |   (2208)  all_8_43 = all_4_11
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | |   (2209)  all_6_9 = e2
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (2177), (2209) are inconsistent by
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | |            sub-proof #158.
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | |   (2210)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 |
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | |           all_6_9 = e0
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | |   (2211)  all_6_21 = e2
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (2159), (2211) are inconsistent by
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #157.
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | |   (2212)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 |
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | |           all_6_21 = e0
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | |   (2213)  all_6_14 = e2
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (2203), (2213) are inconsistent by
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #52.
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | |   (2214)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 |
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | |           all_6_14 = e0
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | |   (2215)  all_6_13 = e2
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (2215) imply:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | |   (2216)  all_4_17 = e2
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2216) implies:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | |   (2217)  all_4_17 = e2
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2201), (2217) imply:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | |   (2218)  $false
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2218) is inconsistent.
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | |   (2219)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e1 |
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | |           all_6_13 = e0
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | |   (2220)  all_6_2 = e2
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (510), (2220) are inconsistent by sub-proof
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | |            #168.
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | |   (2221)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 |
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_2 = e0
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2222)  (all_8_13 = e4 &  ~ (all_8_14 = e3)) | (all_8_17 =
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 &  ~ (all_8_18 = e3))
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2222) gives:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2223)  all_8_13 = e4 &  ~ (all_8_14 = e3)
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2223) implies:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2224)  all_8_13 = e4
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (2224) imply:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2225)  op(e3, all_4_5) = e4
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2226)  all_6_1 = e2
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (508), (2226) are inconsistent by sub-proof
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #155.
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2227)   ~ (all_6_1 = e2)
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2228)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2229)  all_6_5 = e2
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (500), (2229) are inconsistent by sub-proof
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #153.
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2230)   ~ (all_6_5 = e2)
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2231)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_5 = e0
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2232)  all_10_20 = e4
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (2232) imply:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2233)  all_4_4 = e4
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2233) implies:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2234)  all_4_4 = e4
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (2234) imply:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2235)   ~ (all_4_1 = e4)
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (2234) imply:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2236)   ~ (all_4_2 = e4)
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (2234) imply:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2237)   ~ (all_4_9 = e4)
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2237) implies:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2238)   ~ (all_4_9 = e4)
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (11), (15), (27), (51), (61), (82),
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (83), (96), (102), (104), (108), (128), (285),
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (288), (298), (301), (303), (305), (308), (312),
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (313), (331), (345), (351), (357), (361), (367),
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (370), (382), (385), (391), (394), (398), (450),
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (454), (460), (461), (470), (475), (477), (495),
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (498), (500), (502), (508), (515), (516), (521),
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (522), (524), (531), (535), (540), (550), (566),
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2106), (2116), (2117), (2118), (2122), (2127),
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2145), (2148), (2149), (2158), (2171), (2172),
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2175), (2196), (2210), (2212), (2214), (2219),
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2221), (2228), (2231), (2232), (2235), (2236),
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2238), (function-axioms) are inconsistent by
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #41.
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2239)  all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_24 = e4
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2239) gives:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2240)  all_10_21 = e4
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (331), (2240) imply:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2241)  all_4_9 = e4
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2241) implies:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2242)  all_4_9 = e4
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (2242) imply:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2243)   ~ (all_4_5 = e4)
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2244)  all_10_12 = e1
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (11), (15), (82), (84), (292), (301),
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (303), (345), (348), (391), (454), (461), (496),
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (521), (522), (525), (550), (2118), (2171),
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2175), (2221), (2228), (2243), (2244),
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #39.
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2245)  all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 |
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_19 = e1
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (84), (311), (345), (348), (394),
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (454), (496), (535), (2118), (2128), (2175),
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2225), (2228), (2243), (2245), (function-axioms)
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #37.
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2246)  all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (325), (542), (2143), (2158), (2246)
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #36.
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2247)  all_8_17 = e2 &  ~ (all_8_18 = e3)
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2160), (2206), (2247) are inconsistent by
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #35.
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2248)  (all_8_20 = e1 &  ~ (all_8_21 = e3)) | (all_8_23 =
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_24 = e3))
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2248) gives:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2249)  all_8_20 = e1 &  ~ (all_8_21 = e3)
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2249) implies:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2250)  all_8_20 = e1
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (2250) imply:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2251)  op(e3, all_4_8) = e1
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2252)  all_6_1 = e2
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (508), (2252) are inconsistent by sub-proof
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #155.
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2253)   ~ (all_6_1 = e2)
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2254)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2255)  all_6_5 = e2
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (500), (2255) are inconsistent by sub-proof
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #153.
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2256)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_5 = e0
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2257)  all_10_20 = e4
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (2257) imply:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2258)  all_4_4 = e4
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2258) implies:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2259)  all_4_4 = e4
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (2259) imply:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2260)   ~ (all_4_1 = e4)
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (2259) imply:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2261)   ~ (all_4_2 = e4)
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (2259) imply:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2262)   ~ (all_4_9 = e4)
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2262) implies:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2263)   ~ (all_4_9 = e4)
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2264)  all_10_0 = e0
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (398), (2264) imply:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2265)  e2 = e0
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2265) imply:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2266)  $false
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2266) is inconsistent.
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2267)  all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 |
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_20 = e0
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2268)  all_10_1 = e4
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (2268) imply:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2269)  all_4_5 = e4
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (2269) imply:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2270)   ~ (all_4_10 = e4)
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2270) implies:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2271)   ~ (all_4_10 = e4)
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (10), (11), (27), (51),
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (96), (102), (104), (108), (288), (290), (303),
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (317), (345), (348), (351), (361), (367), (370),
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (382), (385), (391), (398), (450), (475), (477),
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (495), (496), (498), (502), (515), (516), (523),
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (524), (531), (535), (2106), (2117), (2127),
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2148), (2149), (2158), (2175), (2176), (2193),
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2210), (2214), (2251), (2256), (2257), (2261),
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2267), (2271), (function-axioms) are inconsistent
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #33.
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2272)   ~ (all_10_1 = e4)
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (15), (61), (82), (83), (285), (301),
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (303), (308), (331), (345), (361), (382), (391),
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (394), (454), (460), (461), (498), (521), (522),
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (535), (550), (2116), (2118), (2122), (2145),
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2158), (2171), (2212), (2221), (2254), (2257),
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2260), (2263), (2272), (function-axioms) are
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #42.
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2273)  all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_24 = e4
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2273) gives:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2274)  all_10_21 = e4
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (331), (2274) imply:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2275)  all_4_9 = e4
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2275) implies:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2276)  all_4_9 = e4
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (2276) imply:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2277)   ~ (all_4_5 = e4)
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2278)  all_10_12 = e1
% 73.14/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (11), (15), (82), (84), (292), (301),
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (303), (345), (348), (391), (454), (461), (496),
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (521), (522), (525), (550), (2118), (2171),
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2175), (2221), (2254), (2277), (2278),
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #39.
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2279)  all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 |
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_19 = e1
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (345), (348), (496), (2175),
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2176), (2193), (2251), (2279), (function-axioms)
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #34.
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2280)  all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (325), (542), (2143), (2158), (2280)
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #36.
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2281)  all_8_23 = e0 &  ~ (all_8_24 = e3)
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2281) implies:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2282)  all_8_23 = e0
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (2282) imply:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2283)  op(e3, all_4_9) = e0
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2284)  all_6_1 = e2
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (508), (2284) are inconsistent by sub-proof
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #155.
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2285)   ~ (all_6_1 = e2)
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2286)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2287)  all_6_5 = e2
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (500), (2287) are inconsistent by sub-proof
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #153.
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2288)   ~ (all_6_5 = e2)
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2289)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_5 = e0
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2290)  all_10_20 = e4
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (2290) imply:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2291)  all_4_4 = e4
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2291) implies:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2292)  all_4_4 = e4
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (2292) imply:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2293)   ~ (all_4_1 = e4)
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (2292) imply:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2294)   ~ (all_4_2 = e4)
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (2292) imply:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2295)   ~ (all_4_9 = e4)
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2295) implies:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2296)   ~ (all_4_9 = e4)
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (11), (15), (27), (51), (61), (82),
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (83), (96), (102), (104), (108), (128), (285),
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (288), (298), (301), (303), (305), (308), (312),
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (313), (331), (345), (351), (357), (361), (367),
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (370), (382), (385), (391), (394), (398), (450),
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (454), (460), (461), (470), (475), (477), (495),
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (498), (500), (502), (508), (515), (516), (521),
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (522), (524), (531), (535), (540), (550), (566),
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2106), (2116), (2117), (2118), (2122), (2127),
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2145), (2148), (2149), (2158), (2171), (2172),
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2175), (2196), (2210), (2212), (2214), (2219),
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2221), (2286), (2289), (2290), (2293), (2294),
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2296), (function-axioms) are inconsistent by
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #41.
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2297)  all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_24 = e4
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (136), (325), (331), (542), (2117),
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2143), (2158), (2283), (2297), (function-axioms)
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #32.
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | |   (2298)  all_10_13 = e2 | all_10_21 = e2
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (331), (348), (2159), (2176), (2298) are
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #64.
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.81  | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | |   (2299)  all_10_17 = e2
% 73.57/10.81  | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (2299) imply:
% 73.57/10.81  | | | | | | | | | | | | | | | | | |   (2300)  all_4_21 = e2
% 73.57/10.81  | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | REDUCE: (2177), (2300) imply:
% 73.57/10.81  | | | | | | | | | | | | | | | | | |   (2301)  $false
% 73.57/10.81  | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | | CLOSE: (2301) is inconsistent.
% 73.57/10.81  | | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | | End of split
% 73.57/10.81  | | | | | | | | | | | | | 
% 73.57/10.81  | | | | | | | | | | | | Case 2:
% 73.57/10.81  | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | |   (2302)   ~ (all_6_19 = e2)
% 73.57/10.82  | | | | | | | | | | | | |   (2303)  all_6_19 = e4 | all_6_19 = e3 | all_6_19 = e1 |
% 73.57/10.82  | | | | | | | | | | | | |           all_6_19 = e0
% 73.57/10.82  | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | REDUCE: (479), (2302) imply:
% 73.57/10.82  | | | | | | | | | | | | |   (2304)   ~ (all_4_23 = e2)
% 73.57/10.82  | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | BETA: splitting (291) gives:
% 73.57/10.82  | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | Case 1:
% 73.57/10.82  | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | |   (2305)  all_10_12 = e2
% 73.57/10.82  | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | REF_CLOSE: (351), (504), (2305) are inconsistent by sub-proof
% 73.57/10.82  | | | | | | | | | | | | | |            #89.
% 73.57/10.82  | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | Case 2:
% 73.57/10.82  | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | |   (2306)  all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 |
% 73.57/10.82  | | | | | | | | | | | | | |           all_10_19 = e2
% 73.57/10.82  | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | BETA: splitting (2306) gives:
% 73.57/10.82  | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | Case 1:
% 73.57/10.82  | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | |   (2307)  all_10_13 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | COMBINE_EQS: (348), (2307) imply:
% 73.57/10.82  | | | | | | | | | | | | | | |   (2308)  all_4_8 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | SIMP: (2308) implies:
% 73.57/10.82  | | | | | | | | | | | | | | |   (2309)  all_4_8 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | REDUCE: (68), (2309) imply:
% 73.57/10.82  | | | | | | | | | | | | | | |   (2310)   ~ (all_4_9 = e2)
% 73.57/10.82  | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | REDUCE: (520), (2309) imply:
% 73.57/10.82  | | | | | | | | | | | | | | |   (2311)   ~ (e4 = e2)
% 73.57/10.82  | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | REDUCE: (556), (2309) imply:
% 73.57/10.82  | | | | | | | | | | | | | | |   (2312)  op(e3, e2) = all_8_20
% 73.57/10.82  | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | BETA: splitting (2303) gives:
% 73.57/10.82  | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | Case 1:
% 73.57/10.82  | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | |   (2313)  all_6_19 = e4
% 73.57/10.82  | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (2313) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | |   (2314)  all_4_23 = e4
% 73.57/10.82  | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | REDUCE: (544), (2314) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | |   (2315)  $false
% 73.57/10.82  | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | CLOSE: (2315) is inconsistent.
% 73.57/10.82  | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | Case 2:
% 73.57/10.82  | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | |   (2316)   ~ (all_6_19 = e4)
% 73.57/10.82  | | | | | | | | | | | | | | | |   (2317)  all_6_19 = e3 | all_6_19 = e1 | all_6_19 = e0
% 73.57/10.82  | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.82  | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | |   (2318)  all_10_12 = e1
% 73.57/10.82  | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (2318) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | |   (2319)  all_4_3 = e1
% 73.57/10.82  | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | SIMP: (2319) implies:
% 73.57/10.82  | | | | | | | | | | | | | | | | |   (2320)  all_4_3 = e1
% 73.57/10.82  | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | REDUCE: (101), (2320) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | |   (2321)   ~ (all_4_2 = e1)
% 73.57/10.82  | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | REDUCE: (95), (2320) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | |   (2322)   ~ (all_4_4 = e1)
% 73.57/10.82  | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | REDUCE: (91), (2320) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | |   (2323)   ~ (all_4_23 = e1)
% 73.57/10.82  | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | REDUCE: (517), (2320) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | |   (2324)   ~ (e4 = e1)
% 73.57/10.82  | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | REDUCE: (568), (2320) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | |   (2325)  op(e1, e1) = all_8_8
% 73.57/10.82  | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | BETA: splitting (2317) gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | |   (2326)  all_6_19 = e1
% 73.57/10.82  | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (2326) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | |   (2327)  all_4_23 = e1
% 73.57/10.82  | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | REDUCE: (2150), (2327) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | |   (2328)  $false
% 73.57/10.82  | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | CLOSE: (2328) is inconsistent.
% 73.57/10.82  | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | |   (2329)   ~ (all_6_19 = e1)
% 73.57/10.82  | | | | | | | | | | | | | | | | | |   (2330)  all_6_19 = e3 | all_6_19 = e0
% 73.57/10.82  | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | BETA: splitting (2330) gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | |   (2331)  all_6_19 = e3
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (2331) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | |   (2332)  all_4_23 = e3
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | REDUCE: (25), (2332) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | |   (2333)   ~ (all_4_20 = e3)
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | REDUCE: (22), (2332) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | |   (2334)   ~ (all_4_21 = e3)
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | REDUCE: (544), (2332) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | |   (2335)   ~ (e4 = e3)
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | REDUCE: (582), (2332) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | |   (2336)  op(e0, e3) = all_8_61
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9,
% 73.57/10.82  | | | | | | | | | | | | | | | | | | |              all_8_61, e3, e0, simplifying with (120), (2336)
% 73.57/10.82  | | | | | | | | | | | | | | | | | | |              gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | |   (2337)  all_8_61 = all_4_9
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_8,
% 73.57/10.82  | | | | | | | | | | | | | | | | | | |              e1, e1, simplifying with (12), (2325) gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | |   (2338)  all_8_8 = e4
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_11,
% 73.57/10.82  | | | | | | | | | | | | | | | | | | |              all_8_20, e2, e3, simplifying with (134), (2312)
% 73.57/10.82  | | | | | | | | | | | | | | | | | | |              gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | |   (2339)  all_8_20 = all_4_11
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | |   (2340)  all_6_2 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (510), (2340) are inconsistent by sub-proof
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | |            #168.
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | |   (2341)   ~ (all_6_2 = e2)
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | |   (2342)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 |
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | |           all_6_2 = e0
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | |   (2343)  all_6_10 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (451), (502), (2343) are inconsistent by sub-proof
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | |            #106.
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | |   (2344)  all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 |
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | |           all_6_10 = e0
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | |   (2345)  all_6_9 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (2345) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | |   (2346)  all_4_21 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | SIMP: (2346) implies:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | |   (2347)  all_4_21 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (2347) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | |   (2348)   ~ (all_4_16 = e2)
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (2347) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | |   (2349)  op(e0, e2) = all_8_55
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | |   (2350)  all_10_9 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (2350) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | |   (2351)  all_4_15 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (512), (2351) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | |   (2352)  $false
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2352) is inconsistent.
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | |   (2353)  all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 |
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | |           all_10_23 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2353) gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | |   (2354)  all_10_10 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (2354) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | |   (2355)  all_4_16 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2348), (2355) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | |   (2356)  $false
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2356) is inconsistent.
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | |   (2357)  all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2357) gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (2358)  all_10_11 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (2358) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (2359)  all_4_17 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (2359) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (2360)   ~ (all_4_22 = e2)
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2360) implies:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (2361)   ~ (all_4_22 = e2)
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (529), (2359) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (2362)   ~ (e3 = e2)
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (2359) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (2363)  op(e2, e1) = e2
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2364)  all_10_6 = e1
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (367), (2321), (2364) are inconsistent by
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #86.
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2365)  all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 |
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_18 = e1
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2365) gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2366)  all_10_7 = e1
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (2366) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2367)  all_4_7 = e1
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (2367) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2368)   ~ (all_4_5 = e1)
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (2367) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2369)   ~ (all_4_9 = e1)
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (2367) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2370)   ~ (all_4_22 = e1)
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (518), (2367) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2371)   ~ (e3 = e1)
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (2367) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2372)  op(e3, e1) = all_8_17
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (2367) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2373)  op(e2, e1) = all_8_18
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_55,
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (2165), (2349) gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2374)  all_8_55 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_18,
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (2363), (2373) gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2375)  all_8_18 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_16,
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_8_17, e1, e3, simplifying with (133), (2372)
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2376)  all_8_17 = all_4_16
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2377)  (all_8_52 = e4 &  ~ (all_8_53 = e0)) | (all_8_55 =
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_8_56 = e0))
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2377) gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2378)  all_8_52 = e4 &  ~ (all_8_53 = e0)
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2378) implies:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2379)  all_8_52 = e4
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (2379) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2380)  op(e0, all_4_20) = e4
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2381)  all_6_21 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (2381) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2382)  all_4_9 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2159), (2382) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2383)  $false
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2383) is inconsistent.
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2384)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 |
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_21 = e0
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2385)  all_6_1 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (2385) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2386)  all_4_5 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (2386) imply:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2387)  $false
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2387) is inconsistent.
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2388)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2389)  (all_8_1 = e3 &  ~ (all_8_2 = e4)) | (all_8_4 = e2
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_8_5 = e4))
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2389) gives:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2390)  all_8_1 = e3 &  ~ (all_8_2 = e4)
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2390) implies:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2391)  all_8_1 = e3
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (545), (2391) imply:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2392)  op(e4, all_4_1) = e3
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2393)  (all_8_13 = e4 &  ~ (all_8_14 = e3)) | (all_8_17 =
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 &  ~ (all_8_18 = e3))
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2393) gives:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2394)  all_8_13 = e4 &  ~ (all_8_14 = e3)
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2394) implies:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2395)  all_8_13 = e4
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (2395) imply:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2396)  op(e3, all_4_5) = e4
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2397)  all_10_20 = e4
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (2397) imply:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2398)  all_4_4 = e4
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2398) implies:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2399)  all_4_4 = e4
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (2399) imply:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2400)   ~ (all_4_1 = e4)
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (2399) imply:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2401)   ~ (all_4_9 = e4)
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2401) implies:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2402)   ~ (all_4_9 = e4)
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (10), (11), (39), (82), (83),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (140), (296), (301), (312), (314), (317), (318),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (325), (331), (367), (382), (385), (388), (391),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (394), (398), (460), (461), (500), (510), (515),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (521), (522), (535), (542), (551), (578), (2105),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2116), (2118), (2122), (2145), (2147), (2151),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2158), (2172), (2307), (2318), (2333), (2342),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2363), (2366), (2380), (2384), (2392), (2397),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2400), (2402), (function-axioms) are inconsistent
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #27.
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2403)  all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_24 = e4
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (83), (311), (325), (331), (394),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (454), (542), (2118), (2122), (2128), (2143),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2158), (2368), (2388), (2396), (2403),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #26.
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2404)  all_8_17 = e2 &  ~ (all_8_18 = e3)
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2348), (2376), (2404) are inconsistent by
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #25.
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2405)  (all_8_20 = e1 &  ~ (all_8_21 = e3)) | (all_8_23 =
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_24 = e3))
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2405) gives:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2406)  all_8_20 = e1 &  ~ (all_8_21 = e3)
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (61), (303), (391), (461), (521), (522),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (550), (2171), (2339), (2342), (2406),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #24.
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2407)  all_8_23 = e0 &  ~ (all_8_24 = e3)
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2407) implies:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2408)  all_8_23 = e0
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (2408) imply:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2409)  op(e3, all_4_9) = e0
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2410)  all_10_20 = e4
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (2410) imply:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2411)  all_4_4 = e4
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2411) implies:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2412)  all_4_4 = e4
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (2412) imply:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2413)   ~ (all_4_1 = e4)
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (2412) imply:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2414)   ~ (all_4_9 = e4)
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2414) implies:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2415)   ~ (all_4_9 = e4)
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (10), (11), (39), (82), (83),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (140), (296), (301), (312), (314), (317), (318),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (325), (331), (367), (382), (385), (388), (391),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (394), (398), (460), (461), (500), (510), (515),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (521), (522), (535), (542), (551), (578), (2105),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2116), (2118), (2122), (2145), (2147), (2151),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2158), (2172), (2307), (2318), (2333), (2342),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2363), (2366), (2380), (2384), (2392), (2410),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2413), (2415), (function-axioms) are inconsistent
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #27.
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2416)  all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_24 = e4
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (136), (325), (331), (542), (2117),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2143), (2158), (2409), (2416), (function-axioms)
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #32.
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2417)  all_8_4 = e2 &  ~ (all_8_5 = e4)
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2417) implies:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2418)  all_8_4 = e2
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (2418) imply:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2419)  op(e4, all_4_2) = e2
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (9), (10), (11), (15), (61), (82), (83),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (100), (136), (137), (252), (286), (296),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (297), (301), (303), (311), (312), (314), (318),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (325), (331), (334), (367), (385), (388), (391),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (394), (398), (451), (454), (461), (502), (506),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (521), (522), (525), (535), (542), (550),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (552), (554), (557), (2116), (2117), (2118),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2122), (2128), (2143), (2144), (2158), (2171),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2307), (2321), (2333), (2339), (2342), (2344),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2348), (2366), (2368), (2376), (2388), (2419),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #20.
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2420)  (all_8_7 = e1 &  ~ (all_8_8 = e4)) | (all_8_10 =
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_11 = e4))
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2420) gives:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2421)  all_8_7 = e1 &  ~ (all_8_8 = e4)
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2421) implies:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2422)   ~ (all_8_8 = e4)
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2338), (2422) imply:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2423)  $false
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2423) is inconsistent.
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2424)  all_8_10 = e0 &  ~ (all_8_11 = e4)
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2424) implies:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2425)  all_8_10 = e0
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (2425) imply:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2426)  op(e4, all_4_4) = e0
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (10), (15), (61), (83), (90), (136),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (252), (286), (303), (311), (312), (325), (331),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (334), (391), (394), (454), (461), (506), (521),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (522), (535), (542), (549), (550), (554), (557),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2116), (2117), (2118), (2122), (2128), (2143),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2144), (2158), (2171), (2307), (2339), (2342),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2348), (2366), (2368), (2376), (2388), (2426),
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #16.
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2427)  all_8_55 = e3 &  ~ (all_8_56 = e0)
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2374), (2427) are inconsistent by sub-proof
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #97.
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2428)  (all_8_58 = e2 &  ~ (all_8_59 = e0)) | (all_8_61 =
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_8_62 = e0))
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2428) gives:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2429)  all_8_58 = e2 &  ~ (all_8_59 = e0)
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2429) implies:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2430)  all_8_58 = e2
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (2430) imply:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2431)  op(e0, all_4_22) = e2
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2432)  all_6_14 = e2
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (2361), (2432) are inconsistent by
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #52.
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2433)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 |
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_14 = e0
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2434)  all_6_1 = e2
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (2434) imply:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2435)  all_4_5 = e2
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (2435) imply:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2436)  $false
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2436) is inconsistent.
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2437)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2438)  (all_8_1 = e3 &  ~ (all_8_2 = e4)) | (all_8_4 = e2
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_8_5 = e4))
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2438) gives:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2439)  all_8_1 = e3 &  ~ (all_8_2 = e4)
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2439) implies:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2440)  all_8_1 = e3
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (545), (2440) imply:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2441)  op(e4, all_4_1) = e3
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2442)  (all_8_13 = e4 &  ~ (all_8_14 = e3)) | (all_8_17 =
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 &  ~ (all_8_18 = e3))
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (10), (11), (26), (82), (83),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (106), (121), (140), (286), (296), (301),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (311), (312), (314), (317), (318), (325), (331),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (334), (367), (382), (385), (388), (391), (394),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (398), (454), (461), (477), (500), (506), (512),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (521), (522), (531), (535), (542), (551),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (554), (576), (2116), (2117), (2118), (2122),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2128), (2143), (2144), (2149), (2158), (2307),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2318), (2333), (2342), (2348), (2366), (2368),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2376), (2431), (2433), (2437), (2441), (2442),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #14.
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2443)  (all_8_20 = e1 &  ~ (all_8_21 = e3)) | (all_8_23 =
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_24 = e3))
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2443) gives:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2444)  all_8_20 = e1 &  ~ (all_8_21 = e3)
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2444) implies:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2445)  all_8_20 = e1
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2339), (2445) imply:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2446)  all_4_11 = e1
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2446) implies:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2447)  all_4_11 = e1
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (2447) imply:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2448)   ~ (all_4_10 = e1)
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (303), (391), (461), (521), (522), (550),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2171), (2342), (2448), (function-axioms) are
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #160.
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2449)  all_8_23 = e0 &  ~ (all_8_24 = e3)
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (10), (11), (26), (82), (90),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (106), (121), (136), (140), (286), (296), (301),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (312), (314), (317), (318), (325), (331), (334),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (367), (382), (385), (388), (391), (394), (398),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (461), (477), (500), (506), (512), (515), (521),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (522), (531), (535), (542), (551), (557), (576),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2116), (2117), (2118), (2143), (2144), (2149),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2158), (2307), (2318), (2333), (2342), (2366),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2431), (2433), (2441), (2449), (function-axioms)
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #13.
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2450)  all_8_4 = e2 &  ~ (all_8_5 = e4)
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2450) implies:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2451)  all_8_4 = e2
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (2451) imply:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2452)  op(e4, all_4_2) = e2
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (9), (10), (11), (15), (61), (82), (83),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (100), (136), (137), (252), (286), (296),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (297), (301), (303), (311), (312), (314), (318),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (325), (331), (334), (367), (385), (388), (391),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (394), (398), (451), (454), (461), (502), (506),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (521), (522), (525), (535), (542), (550),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (552), (554), (557), (2116), (2117), (2118),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2122), (2128), (2143), (2144), (2158), (2171),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2307), (2321), (2333), (2339), (2342), (2344),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2348), (2366), (2368), (2376), (2437), (2452),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #20.
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2453)  (all_8_7 = e1 &  ~ (all_8_8 = e4)) | (all_8_10 =
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_11 = e4))
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2453) gives:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2454)  all_8_7 = e1 &  ~ (all_8_8 = e4)
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2454) implies:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2455)   ~ (all_8_8 = e4)
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2338), (2455) imply:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2456)  $false
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2456) is inconsistent.
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2457)  all_8_10 = e0 &  ~ (all_8_11 = e4)
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2457) implies:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2458)  all_8_10 = e0
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (2458) imply:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2459)  op(e4, all_4_4) = e0
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (10), (15), (61), (83), (90), (136),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (252), (286), (303), (311), (312), (325), (331),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (334), (391), (394), (454), (461), (506), (521),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (522), (535), (542), (549), (550), (554), (557),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2116), (2117), (2118), (2122), (2128), (2143),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2144), (2158), (2171), (2307), (2339), (2342),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2348), (2366), (2368), (2376), (2437), (2459),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #16.
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2460)  all_8_61 = e1 &  ~ (all_8_62 = e0)
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2145), (2337), (2460) are inconsistent by
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #96.
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2461)  all_10_8 = e1 | all_10_11 = e1 | all_10_18 = e1
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (361), (495), (2149), (2358), (2461) are
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #12.
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (2462)  all_10_15 = e2 | all_10_23 = e2
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (325), (496), (2162), (2462) are
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #87.
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | |   (2463)   ~ (all_6_9 = e2)
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | |   (2464)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 |
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | |           all_6_9 = e0
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (2463) imply:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | |   (2465)   ~ (all_4_21 = e2)
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2464) gives:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | |   (2466)  all_6_9 = e4
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (2466) imply:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | |   (2467)  all_4_21 = e4
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2467) implies:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | |   (2468)  all_4_21 = e4
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (2468) imply:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | |   (2469)   ~ (all_4_11 = e4)
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (15), (303), (345), (361), (391),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | |            (498), (535), (550), (2158), (2171), (2469),
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | |            #43.
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | |   (2470)  all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (2127), (2148), (2334), (2470) are
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #111.
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | |   (2471)  all_6_19 = e0
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (2471) imply:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | |   (2472)  all_4_23 = e0
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | REDUCE: (537), (2472) imply:
% 73.57/10.84  | | | | | | | | | | | | | | | | | | |   (2473)  $false
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | CLOSE: (2473) is inconsistent.
% 73.57/10.84  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.84  | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | |   (2474)   ~ (all_10_12 = e1)
% 73.57/10.84  | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | | REF_CLOSE: (91), (351), (452), (479), (516), (517), (537),
% 73.57/10.84  | | | | | | | | | | | | | | | | |            (2150), (2154), (2317), (2474) are inconsistent by
% 73.57/10.84  | | | | | | | | | | | | | | | | |            sub-proof #11.
% 73.57/10.84  | | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | Case 2:
% 73.57/10.84  | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | |   (2475)  all_10_14 = e2 | all_10_15 = e2 | all_10_19 = e2
% 73.57/10.84  | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (337), (345), (496), (2304), (2475) are
% 73.57/10.84  | | | | | | | | | | | | | | |            inconsistent by sub-proof #10.
% 73.57/10.84  | | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | End of split
% 73.57/10.84  | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | Case 2:
% 73.57/10.84  | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | |   (2476)  all_8_29 = e3 &  ~ (all_8_30 = e2)
% 73.57/10.84  | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | ALPHA: (2476) implies:
% 73.57/10.84  | | | | | | | | | | | |   (2477)  all_8_29 = e3
% 73.57/10.84  | | | | | | | | | | | | 
% 73.57/10.84  | | | | | | | | | | | | REDUCE: (563), (2477) imply:
% 73.57/10.84  | | | | | | | | | | | |   (2478)  op(e2, all_4_11) = e3
% 73.57/10.84  | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | BETA: splitting (171) gives:
% 73.57/10.85  | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | Case 1:
% 73.57/10.85  | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | |   (2479)  all_6_19 = e2
% 73.57/10.85  | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | COMBINE_EQS: (479), (2479) imply:
% 73.57/10.85  | | | | | | | | | | | | |   (2480)  all_4_23 = e2
% 73.57/10.85  | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | COMBINE_EQS: (337), (2480) imply:
% 73.57/10.85  | | | | | | | | | | | | |   (2481)  all_10_19 = e2
% 73.57/10.85  | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | REDUCE: (65), (2480) imply:
% 73.57/10.85  | | | | | | | | | | | | |   (2482)   ~ (all_4_8 = e2)
% 73.57/10.85  | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | REDUCE: (22), (2480) imply:
% 73.57/10.85  | | | | | | | | | | | | |   (2483)   ~ (all_4_21 = e2)
% 73.57/10.85  | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | BETA: splitting (310) gives:
% 73.57/10.85  | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | Case 1:
% 73.57/10.85  | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | |   (2484)  all_10_1 = e2
% 73.57/10.85  | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | COMBINE_EQS: (394), (2484) imply:
% 73.57/10.85  | | | | | | | | | | | | | |   (2485)  all_4_5 = e2
% 73.57/10.85  | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | REDUCE: (508), (2485) imply:
% 73.57/10.85  | | | | | | | | | | | | | |   (2486)  $false
% 73.57/10.85  | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | CLOSE: (2486) is inconsistent.
% 73.57/10.85  | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | Case 2:
% 73.57/10.85  | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | |   (2487)  all_10_3 = e2 | all_10_7 = e2 | all_10_13 = e2 |
% 73.57/10.85  | | | | | | | | | | | | | |           all_10_21 = e2
% 73.57/10.85  | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 73.57/10.85  | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | Case 1:
% 73.57/10.85  | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | |   (2488)  all_10_2 = e2
% 73.57/10.85  | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | REF_CLOSE: (382), (500), (2488) are inconsistent by sub-proof
% 73.57/10.85  | | | | | | | | | | | | | | |            #55.
% 73.57/10.85  | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | Case 2:
% 73.57/10.85  | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | |   (2489)  all_10_3 = e2 | all_10_5 = e2 | all_10_10 = e2 |
% 73.57/10.85  | | | | | | | | | | | | | | |           all_10_17 = e2
% 73.57/10.85  | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | BETA: splitting (2489) gives:
% 73.57/10.85  | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | Case 1:
% 73.57/10.85  | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | |   (2490)  all_10_3 = e2
% 73.57/10.85  | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2116), (2490) are inconsistent by sub-proof
% 73.57/10.85  | | | | | | | | | | | | | | | |            #54.
% 73.57/10.85  | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | Case 2:
% 73.57/10.85  | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | |   (2491)  all_10_5 = e2 | all_10_10 = e2 | all_10_17 = e2
% 73.57/10.85  | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | BETA: splitting (2491) gives:
% 73.57/10.85  | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.85  | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | |   (2492)  all_10_5 = e2
% 73.57/10.85  | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (2160), (2492) are inconsistent by
% 73.57/10.85  | | | | | | | | | | | | | | | | |            sub-proof #53.
% 73.57/10.85  | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.85  | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | |   (2493)  all_10_10 = e2 | all_10_17 = e2
% 73.57/10.85  | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | BETA: splitting (2493) gives:
% 73.57/10.85  | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | |   (2494)  all_10_10 = e2
% 73.57/10.85  | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (2494) imply:
% 73.57/10.85  | | | | | | | | | | | | | | | | | |   (2495)  all_4_16 = e2
% 73.57/10.85  | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | REDUCE: (34), (2495) imply:
% 73.57/10.85  | | | | | | | | | | | | | | | | | |   (2496)   ~ (all_4_21 = e2)
% 73.57/10.85  | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | REDUCE: (539), (2495) imply:
% 73.57/10.85  | | | | | | | | | | | | | | | | | |   (2497)   ~ (e4 = e2)
% 73.57/10.85  | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | REDUCE: (559), (2495) imply:
% 73.57/10.85  | | | | | | | | | | | | | | | | | |   (2498)  op(e3, e2) = all_8_43
% 73.57/10.85  | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | REDUCE: (133), (2495) imply:
% 73.57/10.85  | | | | | | | | | | | | | | | | | |   (2499)  op(e3, e1) = e2
% 73.57/10.85  | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | BETA: splitting (2487) gives:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | |   (2500)  all_10_3 = e2
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2116), (2500) are inconsistent by sub-proof
% 73.57/10.85  | | | | | | | | | | | | | | | | | | |            #54.
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | |   (2501)  all_10_7 = e2 | all_10_13 = e2 | all_10_21 = e2
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | BETA: splitting (2501) gives:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | |   (2502)  all_10_7 = e2
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (2502) imply:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | |   (2503)  all_4_7 = e2
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (2503) imply:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | |   (2504)   ~ (all_4_8 = e2)
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (2503) imply:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | |   (2505)   ~ (all_4_9 = e2)
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (2503) imply:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | |   (2506)   ~ (all_4_22 = e2)
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | SIMP: (2506) implies:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | |   (2507)   ~ (all_4_22 = e2)
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | REDUCE: (518), (2503) imply:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | |   (2508)   ~ (e3 = e2)
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (2503) imply:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | |   (2509)  op(e3, e2) = all_8_17
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_11,
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | |              all_8_17, e2, e3, simplifying with (134), (2509)
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | |              gives:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | |   (2510)  all_8_17 = all_4_11
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_43,
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | |              all_8_17, e2, e3, simplifying with (2498), (2509)
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | |              gives:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | |   (2511)  all_8_17 = all_8_43
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2510), (2511) imply:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | |   (2512)  all_8_43 = all_4_11
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | |   (2513)  all_6_9 = e2
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (2483), (2513) are inconsistent by
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | |            sub-proof #158.
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | |   (2514)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 |
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | |           all_6_9 = e0
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | |   (2515)  all_6_21 = e2
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (2159), (2515) are inconsistent by
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #157.
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | |   (2516)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 |
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | |           all_6_21 = e0
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | |   (2517)  all_6_14 = e2
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (2507), (2517) are inconsistent by
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #52.
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | |   (2518)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 |
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | |           all_6_14 = e0
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | |   (2519)  all_6_7 = e2
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (2160), (2519) are inconsistent by
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #9.
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | |   (2520)   ~ (all_6_7 = e2)
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | |   (2521)  all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 |
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | |           all_6_7 = e0
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (2522)  all_6_2 = e2
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (510), (2522) are inconsistent by sub-proof
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | |            #168.
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (2523)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 |
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_2 = e0
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2524)  (all_8_13 = e4 &  ~ (all_8_14 = e3)) | (all_8_17 =
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 &  ~ (all_8_18 = e3))
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2524) gives:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2525)  all_8_13 = e4 &  ~ (all_8_14 = e3)
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2525) implies:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2526)  all_8_13 = e4
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (2526) imply:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2527)  op(e3, all_4_5) = e4
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2528)  all_6_1 = e2
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (508), (2528) are inconsistent by sub-proof
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #155.
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2529)   ~ (all_6_1 = e2)
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2530)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2531)  all_6_5 = e2
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (500), (2531) are inconsistent by sub-proof
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #153.
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2532)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_5 = e0
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2533)  all_6_10 = e2
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (451), (502), (2533) are inconsistent by sub-proof
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #106.
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2534)   ~ (all_6_10 = e2)
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2535)  all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 |
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_10 = e0
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2536)  all_10_20 = e4
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (2536) imply:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2537)  all_4_4 = e4
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2537) implies:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2538)  all_4_4 = e4
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (2538) imply:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2539)   ~ (all_4_2 = e4)
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (2538) imply:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2540)   ~ (all_4_9 = e4)
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2540) implies:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2541)   ~ (all_4_9 = e4)
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11), (27), (51), (61), (80), (82), (83),
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (96), (102), (104), (108), (128), (131), (285),
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (288), (289), (301), (303), (305), (312), (313),
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (331), (345), (351), (361), (367), (370), (382),
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (385), (391), (394), (398), (450), (451), (454),
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (460), (461), (462), (475), (477), (495), (498),
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (502), (508), (515), (516), (521), (522), (523),
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (524), (529), (531), (567), (2106), (2117),
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2118), (2122), (2127), (2145), (2148), (2149),
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2158), (2478), (2481), (2514), (2516), (2518),
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2521), (2523), (2530), (2532), (2535), (2536),
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2539), (2541), (function-axioms) are inconsistent
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #5.
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2542)  all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_24 = e4
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2542) gives:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2543)  all_10_21 = e4
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (331), (2543) imply:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2544)  all_4_9 = e4
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2544) implies:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2545)  all_4_9 = e4
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (2545) imply:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2546)   ~ (all_4_5 = e4)
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2547)  all_10_12 = e1
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (11), (61), (82), (84), (128), (292),
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (301), (345), (348), (391), (454), (461), (462),
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (496), (521), (522), (523), (524), (525), (529),
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2118), (2478), (2481), (2521), (2523), (2530),
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2546), (2547), (function-axioms) are inconsistent
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #4.
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2548)  all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 |
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_19 = e1
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (84), (311), (345), (348), (394),
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (454), (496), (535), (2118), (2128), (2481),
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2527), (2530), (2546), (2548), (function-axioms)
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #37.
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2549)  all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (325), (542), (2143), (2158), (2549)
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #36.
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2550)  all_8_17 = e2 &  ~ (all_8_18 = e3)
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2160), (2510), (2550) are inconsistent by
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #35.
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2551)  (all_8_20 = e1 &  ~ (all_8_21 = e3)) | (all_8_23 =
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_24 = e3))
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2551) gives:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2552)  all_8_20 = e1 &  ~ (all_8_21 = e3)
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2552) implies:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2553)  all_8_20 = e1
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (2553) imply:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2554)  op(e3, all_4_8) = e1
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2555)  all_6_1 = e2
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (508), (2555) are inconsistent by sub-proof
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #155.
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2556)   ~ (all_6_1 = e2)
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2557)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2558)  all_6_5 = e2
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (500), (2558) are inconsistent by sub-proof
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #153.
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2559)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_5 = e0
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2560)  all_10_20 = e4
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (2560) imply:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2561)  all_4_4 = e4
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2561) implies:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2562)  all_4_4 = e4
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (2562) imply:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2563)   ~ (all_4_2 = e4)
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2564)  all_10_0 = e0
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (398), (2564) imply:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2565)  e2 = e0
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2565) imply:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2566)  $false
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2566) is inconsistent.
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2567)  all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 |
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_20 = e0
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2568)  all_10_1 = e4
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (2568) imply:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2569)  all_4_5 = e4
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (2569) imply:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2570)   ~ (all_4_10 = e4)
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2570) implies:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2571)   ~ (all_4_10 = e4)
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (10), (11), (27), (51),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (96), (102), (104), (108), (288), (290), (303),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (317), (345), (348), (351), (361), (367), (370),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (382), (385), (391), (398), (450), (475), (477),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (495), (496), (498), (502), (515), (516), (523),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (524), (531), (535), (2106), (2117), (2127),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2148), (2149), (2158), (2481), (2482), (2499),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2514), (2518), (2554), (2559), (2560), (2563),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2567), (2571), (function-axioms) are inconsistent
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #33.
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2572)   ~ (all_10_1 = e4)
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (2572) imply:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2573)   ~ (all_4_5 = e4)
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (11), (61), (82), (84),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (290), (292), (301), (345), (348), (391),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (454), (461), (462), (496), (521), (522), (523),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (524), (525), (529), (2118), (2478), (2481),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2482), (2499), (2521), (2523), (2554), (2557),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2573), (function-axioms) are inconsistent by
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #3.
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2574)  all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_24 = e4
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2574) gives:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2575)  all_10_21 = e4
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (331), (2575) imply:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2576)  all_4_9 = e4
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2576) implies:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2577)  all_4_9 = e4
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (2577) imply:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2578)   ~ (all_4_5 = e4)
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (11), (61), (82), (84),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (290), (292), (301), (345), (348), (391),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (454), (461), (462), (496), (521), (522), (523),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (524), (525), (529), (2118), (2478), (2481),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2482), (2499), (2521), (2523), (2554), (2557),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2578), (function-axioms) are inconsistent by
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #3.
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2579)  all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (325), (542), (2143), (2158), (2579)
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #36.
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2580)  all_8_23 = e0 &  ~ (all_8_24 = e3)
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2580) implies:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2581)  all_8_23 = e0
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (2581) imply:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2582)  op(e3, all_4_9) = e0
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2583)  all_6_1 = e2
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (508), (2583) are inconsistent by sub-proof
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #155.
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2584)   ~ (all_6_1 = e2)
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2585)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2586)  all_6_5 = e2
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (500), (2586) are inconsistent by sub-proof
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #153.
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2587)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_5 = e0
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2588)  all_6_10 = e2
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (451), (502), (2588) are inconsistent by sub-proof
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #106.
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2589)   ~ (all_6_10 = e2)
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2590)  all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 |
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_10 = e0
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2591)  all_10_20 = e4
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (2591) imply:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2592)  all_4_4 = e4
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2592) implies:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2593)  all_4_4 = e4
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (2593) imply:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2594)   ~ (all_4_2 = e4)
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (2593) imply:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2595)   ~ (all_4_9 = e4)
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2595) implies:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2596)   ~ (all_4_9 = e4)
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11), (27), (51), (61), (80), (82), (83),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (96), (102), (104), (108), (128), (131), (285),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (288), (289), (301), (303), (305), (312), (313),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (331), (345), (351), (361), (367), (370), (382),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (385), (391), (394), (398), (450), (451), (454),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (460), (461), (462), (475), (477), (495), (498),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (502), (508), (515), (516), (521), (522), (523),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (524), (529), (531), (567), (2106), (2117),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2118), (2122), (2127), (2145), (2148), (2149),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2158), (2478), (2481), (2514), (2516), (2518),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2521), (2523), (2585), (2587), (2590), (2591),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2594), (2596), (function-axioms) are inconsistent
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #5.
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2597)  all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_24 = e4
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (136), (325), (331), (542), (2117),
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2143), (2158), (2582), (2597), (function-axioms)
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #32.
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | |   (2598)  all_10_13 = e2 | all_10_21 = e2
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (331), (348), (2159), (2482), (2598) are
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #64.
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.86  | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | |   (2599)  all_10_17 = e2
% 73.57/10.86  | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (2599) imply:
% 73.57/10.86  | | | | | | | | | | | | | | | | | |   (2600)  all_4_21 = e2
% 73.57/10.86  | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | REDUCE: (2483), (2600) imply:
% 73.57/10.86  | | | | | | | | | | | | | | | | | |   (2601)  $false
% 73.57/10.86  | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | | CLOSE: (2601) is inconsistent.
% 73.57/10.86  | | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | End of split
% 73.57/10.86  | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | Case 2:
% 73.57/10.86  | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | |   (2602)   ~ (all_6_19 = e2)
% 73.57/10.86  | | | | | | | | | | | | |   (2603)  all_6_19 = e4 | all_6_19 = e3 | all_6_19 = e1 |
% 73.57/10.86  | | | | | | | | | | | | |           all_6_19 = e0
% 73.57/10.86  | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | REDUCE: (479), (2602) imply:
% 73.57/10.86  | | | | | | | | | | | | |   (2604)   ~ (all_4_23 = e2)
% 73.57/10.86  | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | BETA: splitting (291) gives:
% 73.57/10.86  | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | Case 1:
% 73.57/10.86  | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | |   (2605)  all_10_12 = e2
% 73.57/10.86  | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | REF_CLOSE: (351), (504), (2605) are inconsistent by sub-proof
% 73.57/10.86  | | | | | | | | | | | | | |            #89.
% 73.57/10.86  | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | Case 2:
% 73.57/10.86  | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | |   (2606)  all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 |
% 73.57/10.86  | | | | | | | | | | | | | |           all_10_19 = e2
% 73.57/10.86  | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | BETA: splitting (2606) gives:
% 73.57/10.86  | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | Case 1:
% 73.57/10.86  | | | | | | | | | | | | | | | 
% 73.57/10.86  | | | | | | | | | | | | | | |   (2607)  all_10_13 = e2
% 73.57/10.86  | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | COMBINE_EQS: (348), (2607) imply:
% 73.57/10.87  | | | | | | | | | | | | | | |   (2608)  all_4_8 = e2
% 73.57/10.87  | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | SIMP: (2608) implies:
% 73.57/10.87  | | | | | | | | | | | | | | |   (2609)  all_4_8 = e2
% 73.57/10.87  | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | REDUCE: (68), (2609) imply:
% 73.57/10.87  | | | | | | | | | | | | | | |   (2610)   ~ (all_4_9 = e2)
% 73.57/10.87  | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | REDUCE: (520), (2609) imply:
% 73.57/10.87  | | | | | | | | | | | | | | |   (2611)   ~ (e4 = e2)
% 73.57/10.87  | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | REDUCE: (556), (2609) imply:
% 73.57/10.87  | | | | | | | | | | | | | | |   (2612)  op(e3, e2) = all_8_20
% 73.57/10.87  | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | BETA: splitting (2603) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | Case 1:
% 73.57/10.87  | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | |   (2613)  all_6_19 = e4
% 73.57/10.87  | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (2613) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | |   (2614)  all_4_23 = e4
% 73.57/10.87  | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | REDUCE: (544), (2614) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | |   (2615)  $false
% 73.57/10.87  | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | CLOSE: (2615) is inconsistent.
% 73.57/10.87  | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | Case 2:
% 73.57/10.87  | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | |   (2616)   ~ (all_6_19 = e4)
% 73.57/10.87  | | | | | | | | | | | | | | | |   (2617)  all_6_19 = e3 | all_6_19 = e1 | all_6_19 = e0
% 73.57/10.87  | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.87  | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | |   (2618)  all_10_12 = e1
% 73.57/10.87  | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (2618) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | |   (2619)  all_4_3 = e1
% 73.57/10.87  | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | SIMP: (2619) implies:
% 73.57/10.87  | | | | | | | | | | | | | | | | |   (2620)  all_4_3 = e1
% 73.57/10.87  | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | REDUCE: (101), (2620) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | |   (2621)   ~ (all_4_2 = e1)
% 73.57/10.87  | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | REDUCE: (95), (2620) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | |   (2622)   ~ (all_4_4 = e1)
% 73.57/10.87  | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | REDUCE: (91), (2620) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | |   (2623)   ~ (all_4_23 = e1)
% 73.57/10.87  | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | REDUCE: (517), (2620) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | |   (2624)   ~ (e4 = e1)
% 73.57/10.87  | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | REDUCE: (568), (2620) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | |   (2625)  op(e1, e1) = all_8_8
% 73.57/10.87  | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | BETA: splitting (2617) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | |   (2626)  all_6_19 = e1
% 73.57/10.87  | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (2626) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | |   (2627)  all_4_23 = e1
% 73.57/10.87  | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | REDUCE: (2150), (2627) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | |   (2628)  $false
% 73.57/10.87  | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | CLOSE: (2628) is inconsistent.
% 73.57/10.87  | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | |   (2629)   ~ (all_6_19 = e1)
% 73.57/10.87  | | | | | | | | | | | | | | | | | |   (2630)  all_6_19 = e3 | all_6_19 = e0
% 73.57/10.87  | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | BETA: splitting (2630) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | |   (2631)  all_6_19 = e3
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (2631) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | |   (2632)  all_4_23 = e3
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | REDUCE: (25), (2632) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | |   (2633)   ~ (all_4_20 = e3)
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | REDUCE: (22), (2632) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | |   (2634)   ~ (all_4_21 = e3)
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | REDUCE: (544), (2632) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | |   (2635)   ~ (e4 = e3)
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | REDUCE: (582), (2632) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | |   (2636)  op(e0, e3) = all_8_61
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9,
% 73.57/10.87  | | | | | | | | | | | | | | | | | | |              all_8_61, e3, e0, simplifying with (120), (2636)
% 73.57/10.87  | | | | | | | | | | | | | | | | | | |              gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | |   (2637)  all_8_61 = all_4_9
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_8,
% 73.57/10.87  | | | | | | | | | | | | | | | | | | |              e1, e1, simplifying with (12), (2625) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | |   (2638)  all_8_8 = e4
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_11,
% 73.57/10.87  | | | | | | | | | | | | | | | | | | |              all_8_20, e2, e3, simplifying with (134), (2612)
% 73.57/10.87  | | | | | | | | | | | | | | | | | | |              gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | |   (2639)  all_8_20 = all_4_11
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | |   (2640)  all_6_2 = e2
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (510), (2640) are inconsistent by sub-proof
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | |            #168.
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | |   (2641)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 |
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | |           all_6_2 = e0
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | |   (2642)  all_6_10 = e2
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (451), (502), (2642) are inconsistent by sub-proof
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | |            #106.
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | |   (2643)  all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 |
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | |           all_6_10 = e0
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | |   (2644)  all_6_9 = e2
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (2644) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | |   (2645)  all_4_21 = e2
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | SIMP: (2645) implies:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | |   (2646)  all_4_21 = e2
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (2646) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | |   (2647)   ~ (all_4_16 = e2)
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (2646) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | |   (2648)  op(e0, e2) = all_8_55
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | |   (2649)  all_10_9 = e2
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (2649) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | |   (2650)  all_4_15 = e2
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (512), (2650) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | |   (2651)  $false
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2651) is inconsistent.
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | |   (2652)  all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 |
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | |           all_10_23 = e2
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2652) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | |   (2653)  all_10_10 = e2
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (2653) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | |   (2654)  all_4_16 = e2
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2647), (2654) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | |   (2655)  $false
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2655) is inconsistent.
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | |   (2656)  all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2656) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (2657)  all_10_11 = e2
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (2657) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (2658)  all_4_17 = e2
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (2658) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (2659)   ~ (all_4_22 = e2)
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2659) implies:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (2660)   ~ (all_4_22 = e2)
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (529), (2658) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (2661)   ~ (e3 = e2)
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2662)  all_10_6 = e1
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (367), (2621), (2662) are inconsistent by
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #86.
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2663)  all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 |
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_18 = e1
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2663) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2664)  all_10_7 = e1
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (2664) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2665)  all_4_7 = e1
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (2665) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2666)   ~ (all_4_5 = e1)
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (2665) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2667)   ~ (all_4_9 = e1)
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (2665) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2668)   ~ (all_4_22 = e1)
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (518), (2665) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2669)   ~ (e3 = e1)
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (2665) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2670)  op(e3, e1) = all_8_17
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_55,
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (2165), (2648) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2671)  all_8_55 = e2
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_16,
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_8_17, e1, e3, simplifying with (133), (2670)
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2672)  all_8_17 = all_4_16
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2673)  (all_8_52 = e4 &  ~ (all_8_53 = e0)) | (all_8_55 =
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_8_56 = e0))
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2673) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2674)  all_8_52 = e4 &  ~ (all_8_53 = e0)
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2674) implies:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2675)  all_8_52 = e4
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (2675) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2676)  op(e0, all_4_20) = e4
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2677)  all_6_21 = e2
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (2677) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2678)  all_4_9 = e2
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2159), (2678) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2679)  $false
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2679) is inconsistent.
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2680)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 |
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_21 = e0
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2681)  all_6_1 = e2
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (2681) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2682)  all_4_5 = e2
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (2682) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2683)  $false
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2683) is inconsistent.
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2684)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2685)  (all_8_13 = e4 &  ~ (all_8_14 = e3)) | (all_8_17 =
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 &  ~ (all_8_18 = e3))
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2685) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2686)  all_8_13 = e4 &  ~ (all_8_14 = e3)
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2686) implies:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2687)  all_8_13 = e4
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (2687) imply:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2688)  op(e3, all_4_5) = e4
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2689)  all_10_20 = e4
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (11), (39), (82), (83), (88), (90),
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (296), (301), (312), (314), (318), (325), (331),
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (334), (385), (388), (391), (394), (398), (460),
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (461), (506), (521), (522), (535), (578), (2105),
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2116), (2118), (2122), (2144), (2145), (2147),
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2151), (2158), (2607), (2633), (2641), (2664),
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2676), (2680), (2689), (function-axioms) are
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #2.
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2690)  all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_24 = e4
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (83), (311), (325), (331), (394),
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (454), (542), (2118), (2122), (2128), (2143),
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2158), (2666), (2684), (2688), (2690),
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #26.
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2691)  all_8_17 = e2 &  ~ (all_8_18 = e3)
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2647), (2672), (2691) are inconsistent by
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #25.
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2692)  (all_8_20 = e1 &  ~ (all_8_21 = e3)) | (all_8_23 =
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_24 = e3))
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2692) gives:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2693)  all_8_20 = e1 &  ~ (all_8_21 = e3)
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2693) implies:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2694)  all_8_20 = e1
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2639), (2694) imply:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2695)  all_4_11 = e1
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (529), (2478), (2695), (function-axioms)
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #8.
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2696)  all_8_23 = e0 &  ~ (all_8_24 = e3)
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2696) implies:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2697)  all_8_23 = e0
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (2697) imply:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2698)  op(e3, all_4_9) = e0
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2699)  all_10_20 = e4
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (11), (39), (82), (83), (88), (90),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (296), (301), (312), (314), (318), (325), (331),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (334), (385), (388), (391), (394), (398), (460),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (461), (506), (521), (522), (535), (578), (2105),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2116), (2118), (2122), (2144), (2145), (2147),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2151), (2158), (2607), (2633), (2641), (2664),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2676), (2680), (2699), (function-axioms) are
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #2.
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2700)  all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_24 = e4
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (136), (325), (331), (542), (2117),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2143), (2158), (2698), (2700), (function-axioms)
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #32.
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2701)  all_8_55 = e3 &  ~ (all_8_56 = e0)
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2671), (2701) are inconsistent by sub-proof
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #97.
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2702)  (all_8_58 = e2 &  ~ (all_8_59 = e0)) | (all_8_61 =
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_8_62 = e0))
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2702) gives:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2703)  all_8_58 = e2 &  ~ (all_8_59 = e0)
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2703) implies:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2704)  all_8_58 = e2
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (2704) imply:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2705)  op(e0, all_4_22) = e2
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2706)  all_6_14 = e2
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (2660), (2706) are inconsistent by
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #52.
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2707)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 |
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_14 = e0
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2708)  all_6_1 = e2
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (2708) imply:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2709)  all_4_5 = e2
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (2709) imply:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2710)  $false
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2710) is inconsistent.
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2711)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2712)  (all_8_1 = e3 &  ~ (all_8_2 = e4)) | (all_8_4 = e2
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_8_5 = e4))
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2712) gives:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2713)  all_8_1 = e3 &  ~ (all_8_2 = e4)
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2713) implies:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2714)  all_8_1 = e3
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (545), (2714) imply:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2715)  op(e4, all_4_1) = e3
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2716)  (all_8_13 = e4 &  ~ (all_8_14 = e3)) | (all_8_17 =
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 &  ~ (all_8_18 = e3))
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (10), (11), (26), (82), (83),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (106), (121), (140), (286), (296), (301),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (311), (312), (314), (317), (318), (325), (331),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (334), (367), (382), (385), (388), (391), (394),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (398), (454), (461), (477), (500), (506), (512),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (521), (522), (531), (535), (542), (551),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (554), (576), (2116), (2117), (2118), (2122),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2128), (2143), (2144), (2149), (2158), (2607),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2618), (2633), (2641), (2647), (2664), (2666),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2672), (2705), (2707), (2711), (2715), (2716),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #14.
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2717)  (all_8_20 = e1 &  ~ (all_8_21 = e3)) | (all_8_23 =
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_24 = e3))
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2717) gives:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2718)  all_8_20 = e1 &  ~ (all_8_21 = e3)
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2718) implies:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2719)  all_8_20 = e1
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2639), (2719) imply:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2720)  all_4_11 = e1
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (529), (2478), (2720), (function-axioms)
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #8.
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2721)  all_8_23 = e0 &  ~ (all_8_24 = e3)
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (10), (11), (26), (82), (90),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (106), (121), (136), (140), (286), (296), (301),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (312), (314), (317), (318), (325), (331), (334),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (367), (382), (385), (388), (391), (394), (398),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (461), (477), (500), (506), (512), (515), (521),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (522), (531), (535), (542), (551), (557), (576),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2116), (2117), (2118), (2143), (2144), (2149),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2158), (2607), (2618), (2633), (2641), (2664),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2705), (2707), (2715), (2721), (function-axioms)
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #13.
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2722)  all_8_4 = e2 &  ~ (all_8_5 = e4)
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2722) implies:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2723)  all_8_4 = e2
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (2723) imply:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2724)  op(e4, all_4_2) = e2
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2725)  (all_8_13 = e4 &  ~ (all_8_14 = e3)) | (all_8_17 =
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 &  ~ (all_8_18 = e3))
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (9), (10), (11), (82), (83), (90),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (100), (137), (286), (296), (297), (301), (311),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (312), (314), (318), (325), (331), (334), (367),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (385), (388), (391), (394), (398), (451), (454),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (461), (502), (506), (515), (521), (522), (525),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (535), (542), (552), (554), (2116), (2118),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2122), (2128), (2143), (2144), (2158), (2607),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2621), (2633), (2641), (2643), (2647), (2664),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2666), (2672), (2711), (2724), (2725),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #22.
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2726)  (all_8_20 = e1 &  ~ (all_8_21 = e3)) | (all_8_23 =
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_24 = e3))
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2726) gives:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2727)  all_8_20 = e1 &  ~ (all_8_21 = e3)
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2727) implies:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2728)  all_8_20 = e1
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2639), (2728) imply:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2729)  all_4_11 = e1
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (529), (2478), (2729), (function-axioms)
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #8.
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2730)  all_8_23 = e0 &  ~ (all_8_24 = e3)
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (9), (10), (11), (82), (90), (100),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (136), (137), (286), (296), (297), (301), (312),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (314), (318), (325), (331), (334), (367), (385),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (388), (391), (394), (398), (451), (461), (502),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (506), (515), (521), (522), (525), (535), (542),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (552), (557), (2116), (2117), (2118), (2143),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2144), (2158), (2607), (2621), (2633), (2641),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2643), (2664), (2724), (2730), (function-axioms)
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #21.
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2731)  (all_8_7 = e1 &  ~ (all_8_8 = e4)) | (all_8_10 =
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_11 = e4))
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2731) gives:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2732)  all_8_7 = e1 &  ~ (all_8_8 = e4)
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2732) implies:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2733)   ~ (all_8_8 = e4)
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2638), (2733) imply:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2734)  $false
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2734) is inconsistent.
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2735)  all_8_10 = e0 &  ~ (all_8_11 = e4)
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2735) implies:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2736)  all_8_10 = e0
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (2736) imply:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2737)  op(e4, all_4_4) = e0
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2738)  (all_8_13 = e4 &  ~ (all_8_14 = e3)) | (all_8_17 =
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 &  ~ (all_8_18 = e3))
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (10), (15), (83), (90), (286), (311),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (312), (325), (331), (334), (394), (454), (506),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (535), (542), (549), (554), (2116), (2118),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2122), (2128), (2143), (2144), (2158), (2607),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2647), (2664), (2666), (2672), (2711), (2737),
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2738), (function-axioms) are inconsistent by
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #18.
% 73.57/10.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2739)  (all_8_20 = e1 &  ~ (all_8_21 = e3)) | (all_8_23 =
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_24 = e3))
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2739) gives:
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2740)  all_8_20 = e1 &  ~ (all_8_21 = e3)
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2740) implies:
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2741)  all_8_20 = e1
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2639), (2741) imply:
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2742)  all_4_11 = e1
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (529), (2478), (2742), (function-axioms)
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #8.
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2743)  all_8_23 = e0 &  ~ (all_8_24 = e3)
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (10), (15), (90), (136), (286), (312),
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (325), (331), (334), (394), (506), (535), (542),
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (549), (557), (2116), (2117), (2143), (2144),
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2158), (2607), (2664), (2737), (2743),
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #17.
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2744)  all_8_61 = e1 &  ~ (all_8_62 = e0)
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2145), (2637), (2744) are inconsistent by
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #96.
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2745)  all_10_8 = e1 | all_10_11 = e1 | all_10_18 = e1
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (361), (495), (2149), (2657), (2745) are
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #12.
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (2746)  all_10_15 = e2 | all_10_23 = e2
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (325), (496), (2162), (2746) are
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #87.
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | |   (2747)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 |
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | |           all_6_9 = e0
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2747) gives:
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.57/10.89  | | | | | | | | | | | | | | | | | | | | | | |   (2748)  all_6_9 = e4
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (2748) imply:
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | |   (2749)  all_4_21 = e4
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2749) implies:
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | |   (2750)  all_4_21 = e4
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (2750) imply:
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | |   (2751)   ~ (all_4_11 = e4)
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | |   (2752)  all_6_7 = e2
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (2160), (2752) are inconsistent by
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #9.
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | |   (2753)  all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 |
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | |           all_6_7 = e0
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (462), (523), (524), (529), (2478), (2751),
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | |            (2753), (function-axioms) are inconsistent by
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #7.
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | |   (2754)  all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (2127), (2148), (2634), (2754) are
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #111.
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | |   (2755)  all_6_19 = e0
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (2755) imply:
% 73.93/10.89  | | | | | | | | | | | | | | | | | | |   (2756)  all_4_23 = e0
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | REDUCE: (537), (2756) imply:
% 73.93/10.89  | | | | | | | | | | | | | | | | | | |   (2757)  $false
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | CLOSE: (2757) is inconsistent.
% 73.93/10.89  | | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.89  | | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | End of split
% 73.93/10.89  | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.89  | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | |   (2758)   ~ (all_10_12 = e1)
% 73.93/10.89  | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | REF_CLOSE: (91), (351), (452), (479), (516), (517), (537),
% 73.93/10.89  | | | | | | | | | | | | | | | | |            (2150), (2154), (2617), (2758) are inconsistent by
% 73.93/10.89  | | | | | | | | | | | | | | | | |            sub-proof #11.
% 73.93/10.89  | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | End of split
% 73.93/10.89  | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | End of split
% 73.93/10.89  | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | Case 2:
% 73.93/10.89  | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | |   (2759)  all_10_14 = e2 | all_10_15 = e2 | all_10_19 = e2
% 73.93/10.89  | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (337), (345), (496), (2604), (2759) are
% 73.93/10.89  | | | | | | | | | | | | | | |            inconsistent by sub-proof #10.
% 73.93/10.89  | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | End of split
% 73.93/10.89  | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | End of split
% 73.93/10.89  | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | End of split
% 73.93/10.89  | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | End of split
% 73.93/10.89  | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | Case 2:
% 73.93/10.89  | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | |   (2760)  (all_8_33 = e1 &  ~ (all_8_34 = e2)) | (all_8_36 =
% 73.93/10.89  | | | | | | | | | | |             e0 &  ~ (all_8_37 = e2))
% 73.93/10.89  | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | BETA: splitting (2760) gives:
% 73.93/10.89  | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | Case 1:
% 73.93/10.89  | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | |   (2761)  all_8_33 = e1 &  ~ (all_8_34 = e2)
% 73.93/10.89  | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | REF_CLOSE: (584), (2149), (2761) are inconsistent by
% 73.93/10.89  | | | | | | | | | | | |            sub-proof #1.
% 73.93/10.89  | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | Case 2:
% 73.93/10.89  | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | |   (2762)  all_8_36 = e0 &  ~ (all_8_37 = e2)
% 73.93/10.89  | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | REF_CLOSE: (525), (2167), (2762) are inconsistent by
% 73.93/10.89  | | | | | | | | | | | |            sub-proof #93.
% 73.93/10.89  | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | End of split
% 73.93/10.89  | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | End of split
% 73.93/10.89  | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | Case 2:
% 73.93/10.89  | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | |   (2763)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 |
% 73.93/10.89  | | | | | | | | | |           all_6_22 = e0
% 73.93/10.89  | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | BETA: splitting (2763) gives:
% 73.93/10.89  | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | Case 1:
% 73.93/10.89  | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | |   (2764)  all_6_22 = e4
% 73.93/10.89  | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | COMBINE_EQS: (466), (2764) imply:
% 73.93/10.89  | | | | | | | | | | |   (2765)  all_4_14 = e4
% 73.93/10.89  | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | SIMP: (2765) implies:
% 73.93/10.89  | | | | | | | | | | |   (2766)  all_4_14 = e4
% 73.93/10.89  | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | COMBINE_EQS: (328), (2766) imply:
% 73.93/10.89  | | | | | | | | | | |   (2767)  all_10_22 = e4
% 73.93/10.89  | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | REDUCE: (58), (2766) imply:
% 73.93/10.89  | | | | | | | | | | |   (2768)   ~ (all_4_10 = e4)
% 73.93/10.89  | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | REDUCE: (53), (2766) imply:
% 73.93/10.89  | | | | | | | | | | |   (2769)   ~ (all_4_11 = e4)
% 73.93/10.89  | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | REDUCE: (565), (2766) imply:
% 73.93/10.89  | | | | | | | | | | |   (2770)  op(e2, e4) = all_8_36
% 73.93/10.89  | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | REDUCE: (577), (2766) imply:
% 73.93/10.89  | | | | | | | | | | |   (2771)  op(e0, e4) = all_8_37
% 73.93/10.89  | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | BETA: splitting (183) gives:
% 73.93/10.89  | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | Case 1:
% 73.93/10.89  | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | |   (2772)  all_6_2 = e2
% 73.93/10.89  | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | REF_CLOSE: (461), (510), (2772) are inconsistent by sub-proof
% 73.93/10.89  | | | | | | | | | | | |            #168.
% 73.93/10.89  | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | Case 2:
% 73.93/10.89  | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | |   (2773)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 |
% 73.93/10.89  | | | | | | | | | | | |           all_6_2 = e0
% 73.93/10.89  | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | BETA: splitting (2773) gives:
% 73.93/10.89  | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | Case 1:
% 73.93/10.89  | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | |   (2774)  all_6_2 = e4
% 73.93/10.89  | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | REF_CLOSE: (461), (2768), (2774) are inconsistent by
% 73.93/10.89  | | | | | | | | | | | | |            sub-proof #164.
% 73.93/10.89  | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | Case 2:
% 73.93/10.89  | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | |   (2775)   ~ (all_6_2 = e4)
% 73.93/10.89  | | | | | | | | | | | | |   (2776)  all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.93/10.89  | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | BETA: splitting (2776) gives:
% 73.93/10.89  | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | Case 1:
% 73.93/10.89  | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | |   (2777)  all_6_2 = e1
% 73.93/10.89  | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | COMBINE_EQS: (461), (2777) imply:
% 73.93/10.89  | | | | | | | | | | | | | |   (2778)  all_4_10 = e1
% 73.93/10.89  | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | SIMP: (2778) implies:
% 73.93/10.89  | | | | | | | | | | | | | |   (2779)  all_4_10 = e1
% 73.93/10.89  | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | REDUCE: (82), (2779) imply:
% 73.93/10.89  | | | | | | | | | | | | | |   (2780)   ~ (all_4_5 = e1)
% 73.93/10.89  | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | REDUCE: (61), (2779) imply:
% 73.93/10.89  | | | | | | | | | | | | | |   (2781)   ~ (all_4_11 = e1)
% 73.93/10.89  | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | SIMP: (2781) implies:
% 73.93/10.89  | | | | | | | | | | | | | |   (2782)   ~ (all_4_11 = e1)
% 73.93/10.89  | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | REDUCE: (57), (2779) imply:
% 73.93/10.89  | | | | | | | | | | | | | |   (2783)   ~ (all_4_15 = e1)
% 73.93/10.89  | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | SIMP: (2783) implies:
% 73.93/10.89  | | | | | | | | | | | | | |   (2784)   ~ (all_4_15 = e1)
% 73.93/10.89  | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | REDUCE: (56), (2779) imply:
% 73.93/10.89  | | | | | | | | | | | | | |   (2785)   ~ (all_4_20 = e1)
% 73.93/10.89  | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | SIMP: (2785) implies:
% 73.93/10.89  | | | | | | | | | | | | | |   (2786)   ~ (all_4_20 = e1)
% 73.93/10.89  | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | REDUCE: (2768), (2779) imply:
% 73.93/10.89  | | | | | | | | | | | | | |   (2787)   ~ (e4 = e1)
% 73.93/10.89  | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | REDUCE: (550), (2779) imply:
% 73.93/10.89  | | | | | | | | | | | | | |   (2788)  op(e4, e1) = all_8_27
% 73.93/10.89  | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | REDUCE: (562), (2779) imply:
% 73.93/10.89  | | | | | | | | | | | | | |   (2789)  op(e2, e1) = all_8_26
% 73.93/10.89  | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 73.93/10.89  | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | Case 1:
% 73.93/10.89  | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | |   (2790)  all_6_7 = e2
% 73.93/10.89  | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | COMBINE_EQS: (462), (2790) imply:
% 73.93/10.89  | | | | | | | | | | | | | | |   (2791)  all_4_11 = e2
% 73.93/10.89  | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | COMBINE_EQS: (498), (2791) imply:
% 73.93/10.89  | | | | | | | | | | | | | | |   (2792)  all_10_5 = e2
% 73.93/10.89  | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | REDUCE: (52), (2791) imply:
% 73.93/10.89  | | | | | | | | | | | | | | |   (2793)   ~ (all_4_16 = e2)
% 73.93/10.89  | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | SIMP: (2793) implies:
% 73.93/10.89  | | | | | | | | | | | | | | |   (2794)   ~ (all_4_16 = e2)
% 73.93/10.89  | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | REDUCE: (51), (2791) imply:
% 73.93/10.89  | | | | | | | | | | | | | | |   (2795)   ~ (all_4_21 = e2)
% 73.93/10.89  | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | SIMP: (2795) implies:
% 73.93/10.89  | | | | | | | | | | | | | | |   (2796)   ~ (all_4_21 = e2)
% 73.93/10.89  | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | REDUCE: (2769), (2791) imply:
% 73.93/10.89  | | | | | | | | | | | | | | |   (2797)   ~ (e4 = e2)
% 73.93/10.89  | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | REDUCE: (558), (2791) imply:
% 73.93/10.89  | | | | | | | | | | | | | | |   (2798)  op(e3, e2) = all_8_30
% 73.93/10.89  | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | REDUCE: (134), (2791) imply:
% 73.93/10.89  | | | | | | | | | | | | | | |   (2799)  op(e3, e2) = e2
% 73.93/10.89  | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_4,
% 73.93/10.89  | | | | | | | | | | | | | | |              all_8_37, e4, e0, simplifying with (121), (2771)
% 73.93/10.89  | | | | | | | | | | | | | | |              gives:
% 73.93/10.89  | | | | | | | | | | | | | | |   (2800)  all_8_37 = all_4_4
% 73.93/10.89  | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 73.93/10.89  | | | | | | | | | | | | | | |              all_8_26, e1, e2, simplifying with (128), (2789)
% 73.93/10.89  | | | | | | | | | | | | | | |              gives:
% 73.93/10.89  | | | | | | | | | | | | | | |   (2801)  all_8_26 = all_4_17
% 73.93/10.89  | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2,
% 73.93/10.89  | | | | | | | | | | | | | | |              all_8_36, e4, e2, simplifying with (131), (2770)
% 73.93/10.89  | | | | | | | | | | | | | | |              gives:
% 73.93/10.89  | | | | | | | | | | | | | | |   (2802)  all_8_36 = all_4_2
% 73.93/10.89  | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_30,
% 73.93/10.89  | | | | | | | | | | | | | | |              e2, e3, simplifying with (2798), (2799) gives:
% 73.93/10.89  | | | | | | | | | | | | | | |   (2803)  all_8_30 = e2
% 73.93/10.89  | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15,
% 73.93/10.89  | | | | | | | | | | | | | | |              all_8_27, e1, e4, simplifying with (138), (2788)
% 73.93/10.89  | | | | | | | | | | | | | | |              gives:
% 73.93/10.89  | | | | | | | | | | | | | | |   (2804)  all_8_27 = all_4_15
% 73.93/10.89  | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 73.93/10.89  | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | Case 1:
% 73.93/10.89  | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | |   (2805)  (all_8_26 = e4 &  ~ (all_8_27 = e2)) | (all_8_29 =
% 73.93/10.89  | | | | | | | | | | | | | | | |             e3 &  ~ (all_8_30 = e2))
% 73.93/10.89  | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | BETA: splitting (2805) gives:
% 73.93/10.89  | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.89  | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | |   (2806)  all_8_26 = e4 &  ~ (all_8_27 = e2)
% 73.93/10.89  | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | ALPHA: (2806) implies:
% 73.93/10.89  | | | | | | | | | | | | | | | | |   (2807)  all_8_26 = e4
% 73.93/10.89  | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | COMBINE_EQS: (2801), (2807) imply:
% 73.93/10.89  | | | | | | | | | | | | | | | | |   (2808)  all_4_17 = e4
% 73.93/10.89  | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | REDUCE: (540), (2808) imply:
% 73.93/10.89  | | | | | | | | | | | | | | | | |   (2809)  $false
% 73.93/10.89  | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | CLOSE: (2809) is inconsistent.
% 73.93/10.89  | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.89  | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | |   (2810)  all_8_29 = e3 &  ~ (all_8_30 = e2)
% 73.93/10.89  | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | ALPHA: (2810) implies:
% 73.93/10.89  | | | | | | | | | | | | | | | | |   (2811)   ~ (all_8_30 = e2)
% 73.93/10.89  | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | REDUCE: (2803), (2811) imply:
% 73.93/10.89  | | | | | | | | | | | | | | | | |   (2812)  $false
% 73.93/10.89  | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | | CLOSE: (2812) is inconsistent.
% 73.93/10.89  | | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | | End of split
% 73.93/10.89  | | | | | | | | | | | | | | | | 
% 73.93/10.89  | | | | | | | | | | | | | | | Case 2:
% 73.93/10.89  | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | |   (2813)  (all_8_33 = e1 &  ~ (all_8_34 = e2)) | (all_8_36 =
% 73.93/10.90  | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_37 = e2))
% 73.93/10.90  | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | BETA: splitting (2813) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | |   (2814)  all_8_33 = e1 &  ~ (all_8_34 = e2)
% 73.93/10.90  | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | REF_CLOSE: (584), (2149), (2814) are inconsistent by
% 73.93/10.90  | | | | | | | | | | | | | | | | |            sub-proof #1.
% 73.93/10.90  | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.90  | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | |   (2815)  all_8_36 = e0 &  ~ (all_8_37 = e2)
% 73.93/10.90  | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | ALPHA: (2815) implies:
% 73.93/10.90  | | | | | | | | | | | | | | | | |   (2816)  all_8_36 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | |   (2817)   ~ (all_8_37 = e2)
% 73.93/10.90  | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | COMBINE_EQS: (2802), (2816) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | |   (2818)  all_4_2 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | SIMP: (2818) implies:
% 73.93/10.90  | | | | | | | | | | | | | | | | |   (2819)  all_4_2 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | COMBINE_EQS: (367), (2819) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | |   (2820)  all_10_6 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | REDUCE: (100), (2819) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | |   (2821)   ~ (all_4_4 = e0)
% 73.93/10.90  | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | SIMP: (2821) implies:
% 73.93/10.90  | | | | | | | | | | | | | | | | |   (2822)   ~ (all_4_4 = e0)
% 73.93/10.90  | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | REDUCE: (96), (2819) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | |   (2823)   ~ (all_4_22 = e0)
% 73.93/10.90  | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | SIMP: (2823) implies:
% 73.93/10.90  | | | | | | | | | | | | | | | | |   (2824)   ~ (all_4_22 = e0)
% 73.93/10.90  | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | REDUCE: (502), (2819) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | |   (2825)   ~ (e2 = e0)
% 73.93/10.90  | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | REDUCE: (546), (2819) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | |   (2826)  op(e4, e0) = all_8_4
% 73.93/10.90  | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | |   (2827)  all_10_0 = e4
% 73.93/10.90  | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (398), (2827) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | |   (2828)  e4 = e2
% 73.93/10.90  | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | SIMP: (2828) implies:
% 73.93/10.90  | | | | | | | | | | | | | | | | | |   (2829)  e4 = e2
% 73.93/10.90  | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | REDUCE: (10), (2829) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | |   (2830)  $false
% 73.93/10.90  | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | CLOSE: (2830) is inconsistent.
% 73.93/10.90  | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | |   (2831)   ~ (all_10_0 = e4)
% 73.93/10.90  | | | | | | | | | | | | | | | | | |   (2832)  all_10_2 = e4 | all_10_6 = e4 | all_10_12 = e4 |
% 73.93/10.90  | | | | | | | | | | | | | | | | | |           all_10_20 = e4
% 73.93/10.90  | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | |   (2833)  all_6_20 = e2
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (2833) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | |   (2834)  all_4_4 = e2
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | REDUCE: (506), (2834) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | |   (2835)  $false
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | CLOSE: (2835) is inconsistent.
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | |   (2836)   ~ (all_6_20 = e2)
% 73.93/10.90  | | | | | | | | | | | | | | | | | | |   (2837)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 |
% 73.93/10.90  | | | | | | | | | | | | | | | | | | |           all_6_20 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | BETA: splitting (2105) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | |   (2838)  all_10_20 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (2838) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | |   (2839)  all_4_4 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | REDUCE: (2822), (2839) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | |   (2840)  $false
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | CLOSE: (2840) is inconsistent.
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | |   (2841)  all_10_21 = e0 | all_10_22 = e0 | all_10_23 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2841) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | |   (2842)  all_10_21 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (331), (2842) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | |   (2843)  all_4_9 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | REDUCE: (2122), (2843) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | |   (2844)  $false
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | CLOSE: (2844) is inconsistent.
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | |   (2845)  all_10_22 = e0 | all_10_23 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2832) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | |   (2846)  all_10_2 = e4
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (2846) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | |   (2847)  all_4_1 = e4
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (2847) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | |   (2848)   ~ (all_4_3 = e4)
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (2847) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | |   (2849)   ~ (all_4_4 = e4)
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | SIMP: (2849) implies:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | |   (2850)   ~ (all_4_4 = e4)
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (2847) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | |   (2851)   ~ (all_4_21 = e4)
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | SIMP: (2851) implies:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | |   (2852)   ~ (all_4_21 = e4)
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (545), (2847) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | |   (2853)  op(e4, e4) = all_8_1
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2837) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | |   (2854)  all_6_20 = e4
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (2850), (2854) are inconsistent by
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #74.
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | |   (2855)  all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2855) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | |   (2856)  all_6_20 = e1
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (2144), (2856) are inconsistent by
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #73.
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | |   (2857)   ~ (all_6_20 = e1)
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | |   (2858)  all_6_20 = e3 | all_6_20 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2845) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (2859)  all_10_22 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2767), (2859) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (2860)  e4 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (535), (2860) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (2861)  $false
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2861) is inconsistent.
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (2862)  all_10_23 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (325), (2862) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (2863)  all_4_19 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2863) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (2864)   ~ (all_4_15 = e0)
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (2863) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (2865)   ~ (all_4_17 = e0)
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2866)  all_6_9 = e2
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (2796), (2866) are inconsistent by
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #158.
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2867)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 |
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_9 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (315) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2868)  all_10_0 = e1
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (398), (2868) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2869)  e2 = e1
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (2869) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2870)  $false
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2870) is inconsistent.
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2871)   ~ (all_10_0 = e1)
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2872)  all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 |
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_20 = e1
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2872) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2873)  all_10_2 = e1
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2846), (2873) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2874)  e4 = e1
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2874) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2875)  $false
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2875) is inconsistent.
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2876)  all_10_6 = e1 | all_10_12 = e1 | all_10_20 = e1
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2877)  all_6_3 = e2
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (512), (2877) are inconsistent by sub-proof
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #152.
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2878)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 |
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_3 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2878) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2879)  all_6_3 = e4
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (538), (2879) are inconsistent by sub-proof
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #149.
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2880)  all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2881)  all_10_20 = e2
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (2881) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2882)  all_4_4 = e2
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (506), (2882) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2883)  $false
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2883) is inconsistent.
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2884)  all_10_21 = e2 | all_10_22 = e2 | all_10_23 = e2 |
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_24 = e2
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2884) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2885)  all_10_21 = e2
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (331), (2885) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2886)  all_4_9 = e2
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (2886) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2887)   ~ (all_4_8 = e2)
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2880) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2888)  all_6_3 = e1
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (2784), (2888) are inconsistent by
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #146.
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2889)  all_6_3 = e3 | all_6_3 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2889) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2890)  all_6_3 = e3
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (2890) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2891)  all_4_15 = e3
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2891) implies:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2892)  all_4_15 = e3
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (2892) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2893)  all_10_9 = e3
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (2892) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2894)   ~ (all_4_5 = e3)
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (2892) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2895)  op(e4, e1) = e3
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2858) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2896)  all_6_20 = e3
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (2896) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2897)  all_4_4 = e3
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2897) implies:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2898)  all_4_4 = e3
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (2898) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2899)  all_10_20 = e3
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (2898) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2900)   ~ (all_4_3 = e3)
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (2898) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2901)  op(e4, e3) = all_8_10
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2902)  all_6_1 = e2
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (508), (2902) are inconsistent by sub-proof
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #155.
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2903)   ~ (all_6_1 = e2)
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2904)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2905)  all_10_12 = e2
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (2905) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2906)  all_4_3 = e2
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (504), (2906) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2907)  $false
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2907) is inconsistent.
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2908)  all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 |
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_19 = e2
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2904) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2909)  all_6_1 = e4
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (2909) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2910)  all_4_5 = e4
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2910) implies:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2911)  all_4_5 = e4
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (2911) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2912)   ~ (all_4_20 = e4)
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2912) implies:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2913)   ~ (all_4_20 = e4)
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (549), (2911) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2914)  op(e4, e4) = all_8_14
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (2911) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2915)  op(e4, e3) = e4
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2106) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2916)  all_10_16 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (2916) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2917)  all_4_20 = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2786), (2917) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2918)   ~ (e1 = e0)
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (2917) imply:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2919)  op(e4, e0) = e0
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2154) gives:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2920)  all_6_15 = e4
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (517), (2920) are inconsistent by sub-proof
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #107.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2921)  all_6_15 = e3 | all_6_15 = e1 | all_6_15 = e0
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2921) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2922)  all_6_15 = e1
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (2922) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2923)  all_4_3 = e1
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2923) implies:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2924)  all_4_3 = e1
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2900), (2924) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2925)   ~ (e3 = e1)
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (547), (2924) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2926)  op(e4, e1) = all_8_7
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_4,
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e4, simplifying with (2826), (2919) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2927)  all_8_4 = e0
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_7,
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e4, simplifying with (2895), (2926) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2928)  all_8_7 = e3
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_10,
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e4, simplifying with (2901), (2915) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2929)  all_8_10 = e4
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_1,
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, e4, simplifying with (15), (2853) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2930)  all_8_1 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_14,
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_8_1, e4, e4, simplifying with (2853), (2914)
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2931)  all_8_1 = all_8_14
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2930), (2931) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2932)  all_8_14 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2933)  (all_8_1 = e3 &  ~ (all_8_2 = e4)) | (all_8_4 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_8_5 = e4))
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2933) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2934)  all_8_1 = e3 &  ~ (all_8_2 = e4)
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2934) implies:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2935)  all_8_1 = e3
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2930), (2935) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2936)  e3 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2936) implies:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2937)  e3 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2937) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2938)  $false
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2938) is inconsistent.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2939)  all_8_4 = e2 &  ~ (all_8_5 = e4)
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2939) implies:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2940)  all_8_4 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2927), (2940) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2941)  e2 = e0
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2941) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2942)  $false
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2942) is inconsistent.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2943)  (all_8_7 = e1 &  ~ (all_8_8 = e4)) | (all_8_10 =
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_11 = e4))
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2943) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2944)  all_8_7 = e1 &  ~ (all_8_8 = e4)
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2928), (2944) are inconsistent by sub-proof
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #101.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2945)  all_8_10 = e0 &  ~ (all_8_11 = e4)
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2945) implies:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2946)  all_8_10 = e0
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2929), (2946) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2947)  e4 = e0
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (535), (2947) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2948)  $false
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2948) is inconsistent.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2949)   ~ (all_6_15 = e1)
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (452), (2949) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2950)   ~ (all_4_3 = e1)
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2876) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2951)  all_10_6 = e1
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2820), (2951) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2952)  e1 = e0
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (2952) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2953)  $false
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2953) is inconsistent.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2954)  all_10_12 = e1 | all_10_20 = e1
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2954) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2955)  all_10_12 = e1
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (2950), (2955) are inconsistent by
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #59.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2956)  all_10_20 = e1
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2899), (2956) are inconsistent by sub-proof
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #151.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2957)  all_10_17 = e0 | all_10_18 = e0 | all_10_19 = e0
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2958)  all_10_9 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2893), (2958) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2959)  e3 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2959) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2960)  $false
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2960) is inconsistent.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2961)  all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 |
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_23 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2961) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2962)  all_10_10 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (2962) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2963)  all_4_16 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2794), (2963) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2964)  $false
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2964) is inconsistent.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2965)  all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2867) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2966)  all_6_9 = e4
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (2852), (2966) are inconsistent by
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #114.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2967)  all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2968)  all_6_13 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (2968) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2969)  all_4_17 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2969) implies:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2970)  all_4_17 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (2970) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2971)   ~ (all_4_22 = e2)
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2971) implies:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2972)   ~ (all_4_22 = e2)
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2973)  all_6_14 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (2972), (2973) are inconsistent by
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #52.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2974)   ~ (all_6_14 = e2)
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2975)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 |
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_14 = e0
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2908) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2976)  all_10_13 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (2887), (2976) are inconsistent by
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #88.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2977)  all_10_14 = e2 | all_10_15 = e2 | all_10_19 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2975) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2978)  all_6_14 = e4
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (2978) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2979)  all_4_22 = e4
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2979) implies:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2980)  all_4_22 = e4
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (2980) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2981)  all_10_18 = e4
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2977) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2982)  all_10_14 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (345), (2982) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2983)  e2 = e0
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2983) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2984)  $false
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2984) is inconsistent.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2985)   ~ (all_10_14 = e2)
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2986)  all_10_15 = e2 | all_10_19 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2967) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2987)  all_6_9 = e1
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (2148), (2987) are inconsistent by
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #113.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2988)  all_6_9 = e3 | all_6_9 = e0
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2989)  all_6_19 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (2989) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2990)  all_4_23 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2990) implies:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2991)  all_4_23 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (337), (2991) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2992)  all_10_19 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (370), (475), (535), (2127), (2957), (2981),
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2988), (2992) are inconsistent by sub-proof #51.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2993)   ~ (all_6_19 = e2)
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (479), (2993) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2994)   ~ (all_4_23 = e2)
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (337), (496), (2986), (2994) are
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #60.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2995)  all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (531), (2149), (2824), (2995) are
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #48.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2996)   ~ (all_6_13 = e2)
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (470), (2996) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2997)   ~ (all_4_17 = e2)
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (357), (496), (2862), (2965), (2997)
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #117.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2998)  all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (2118), (2780), (2894), (2998) are
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #135.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2999)  all_6_20 = e0
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (2999) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3000)  all_4_4 = e0
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3000) implies:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3001)  all_4_4 = e0
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2822), (3001) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3002)  $false
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3002) is inconsistent.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3003)  all_6_3 = e0
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (2864), (3003) are inconsistent by
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #145.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3004)  all_10_22 = e2 | all_10_23 = e2 | all_10_24 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3004) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3005)  all_10_22 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2767), (3005) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3006)  e4 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (3006) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3007)  $false
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3007) is inconsistent.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3008)  all_10_23 = e2 | all_10_24 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3008) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3009)  all_10_23 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2862), (3009) are inconsistent by sub-proof
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #118.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3010)  all_10_24 = e2
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2143), (3010) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3011)  e2 = e1
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3011) implies:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3012)  e2 = e1
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (3012) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3013)  $false
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3013) is inconsistent.
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | |   (3014)   ~ (all_10_2 = e4)
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (3014) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | |   (3015)   ~ (all_4_1 = e4)
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | |   (3016)  all_10_2 = e4
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (3016) imply:
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | |   (3017)  all_4_1 = e4
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3015), (3017) imply:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | |   (3018)  $false
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3018) is inconsistent.
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | |   (3019)  all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 |
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | |           all_10_17 = e4
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3019) gives:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | |   (3020)  all_10_3 = e4
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (535), (2116), (3020) are inconsistent by
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #45.
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | |   (3021)   ~ (all_10_3 = e4)
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | |   (3022)  all_10_5 = e4 | all_10_10 = e4 | all_10_17 = e4
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3022) gives:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (3023)  all_10_5 = e4
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2792), (3023) imply:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (3024)  e4 = e2
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3024) implies:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (3025)  e4 = e2
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (3025) imply:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (3026)  $false
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3026) is inconsistent.
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (3027)  all_10_10 = e4 | all_10_17 = e4
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2845) gives:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3028)  all_10_22 = e0
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2767), (3028) imply:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3029)  e4 = e0
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (535), (3029) imply:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3030)  $false
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3030) is inconsistent.
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3031)  all_10_23 = e0
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (325), (3031) imply:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3032)  all_4_19 = e0
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3027) gives:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3033)  all_10_10 = e4
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (3033) imply:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3034)  all_4_16 = e4
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (539), (3034) imply:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3035)  $false
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3035) is inconsistent.
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3036)  all_10_17 = e4
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (3036) imply:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3037)  all_4_21 = e4
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (3037) imply:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3038)   ~ (all_4_22 = e4)
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3038) implies:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3039)   ~ (all_4_22 = e4)
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3040)  all_6_14 = e2
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (3040) imply:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3041)  all_4_22 = e2
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (3041) imply:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3042)   ~ (all_4_17 = e2)
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (295), (357), (373), (388), (496),
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (512), (2794), (3031), (3042) are inconsistent by
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #108.
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3043)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 |
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_14 = e0
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3043) gives:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3044)  all_6_14 = e4
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (3044) imply:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3045)  all_4_22 = e4
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3039), (3045) imply:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3046)  $false
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3046) is inconsistent.
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3047)  all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (531), (2149), (2824), (3047) are
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #48.
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.92  | | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | | End of split
% 73.93/10.92  | | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | | End of split
% 73.93/10.92  | | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | | End of split
% 73.93/10.92  | | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | End of split
% 73.93/10.92  | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | Case 2:
% 73.93/10.92  | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | |   (3048)  all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 |
% 73.93/10.92  | | | | | | | | | | | | | | |           all_6_7 = e0
% 73.93/10.92  | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | | REF_CLOSE: (462), (523), (524), (2769), (2782), (3048) are
% 73.93/10.92  | | | | | | | | | | | | | | |            inconsistent by sub-proof #90.
% 73.93/10.92  | | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | End of split
% 73.93/10.92  | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | Case 2:
% 73.93/10.92  | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | |   (3049)  all_6_2 = e3 | all_6_2 = e0
% 73.93/10.92  | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | | REF_CLOSE: (461), (521), (522), (3049) are inconsistent by
% 73.93/10.92  | | | | | | | | | | | | | |            sub-proof #163.
% 73.93/10.92  | | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | | End of split
% 73.93/10.92  | | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | | End of split
% 73.93/10.92  | | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | End of split
% 73.93/10.92  | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | Case 2:
% 73.93/10.92  | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | |   (3050)  all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 73.93/10.92  | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | | REF_CLOSE: (466), (527), (533), (2146), (3050) are
% 73.93/10.92  | | | | | | | | | | |            inconsistent by sub-proof #130.
% 73.93/10.92  | | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | | End of split
% 73.93/10.92  | | | | | | | | | | 
% 73.93/10.92  | | | | | | | | | End of split
% 73.93/10.92  | | | | | | | | | 
% 73.93/10.92  | | | | | | | | End of split
% 73.93/10.92  | | | | | | | | 
% 73.93/10.92  | | | | | | | End of split
% 73.93/10.92  | | | | | | | 
% 73.93/10.92  | | | | | | End of split
% 73.93/10.92  | | | | | | 
% 73.93/10.92  | | | | | End of split
% 73.93/10.92  | | | | | 
% 73.93/10.92  | | | | End of split
% 73.93/10.92  | | | | 
% 73.93/10.92  | | | Case 2:
% 73.93/10.92  | | | | 
% 73.93/10.92  | | | |   (3051)  all_8_67 = e0 | all_8_68 = e0 | all_8_69 = e0
% 73.93/10.92  | | | | 
% 73.93/10.92  | | | | BETA: splitting (3051) gives:
% 73.93/10.92  | | | | 
% 73.93/10.92  | | | | Case 1:
% 73.93/10.92  | | | | | 
% 73.93/10.92  | | | | |   (3052)  all_8_67 = e0
% 73.93/10.92  | | | | | 
% 73.93/10.92  | | | | | COMBINE_EQS: (416), (3052) imply:
% 73.93/10.92  | | | | |   (3053)  e3 = e0
% 73.93/10.92  | | | | | 
% 73.93/10.92  | | | | | SIMP: (3053) implies:
% 73.93/10.92  | | | | |   (3054)  e3 = e0
% 73.93/10.92  | | | | | 
% 73.93/10.92  | | | | | REDUCE: (525), (3054) imply:
% 73.93/10.92  | | | | |   (3055)  $false
% 73.93/10.92  | | | | | 
% 73.93/10.92  | | | | | CLOSE: (3055) is inconsistent.
% 73.93/10.92  | | | | | 
% 73.93/10.92  | | | | Case 2:
% 73.93/10.92  | | | | | 
% 73.93/10.92  | | | | |   (3056)  all_8_68 = e0 | all_8_69 = e0
% 73.93/10.92  | | | | | 
% 73.93/10.92  | | | | | BETA: splitting (3056) gives:
% 73.93/10.92  | | | | | 
% 73.93/10.92  | | | | | Case 1:
% 73.93/10.92  | | | | | | 
% 73.93/10.92  | | | | | |   (3057)  all_8_68 = e0
% 73.93/10.92  | | | | | | 
% 73.93/10.92  | | | | | | COMBINE_EQS: (339), (3057) imply:
% 73.93/10.92  | | | | | |   (3058)  e4 = e0
% 73.93/10.92  | | | | | | 
% 73.93/10.92  | | | | | | SIMP: (3058) implies:
% 73.93/10.92  | | | | | |   (3059)  e4 = e0
% 73.93/10.92  | | | | | | 
% 73.93/10.92  | | | | | | REDUCE: (535), (3059) imply:
% 73.93/10.92  | | | | | |   (3060)  $false
% 73.93/10.92  | | | | | | 
% 73.93/10.92  | | | | | | CLOSE: (3060) is inconsistent.
% 73.93/10.92  | | | | | | 
% 73.93/10.92  | | | | | Case 2:
% 73.93/10.92  | | | | | | 
% 73.93/10.92  | | | | | |   (3061)  all_8_69 = e0
% 73.93/10.92  | | | | | | 
% 73.93/10.92  | | | | | | COMBINE_EQS: (448), (3061) imply:
% 73.93/10.92  | | | | | |   (3062)  all_4_24 = e0
% 73.93/10.92  | | | | | | 
% 73.93/10.92  | | | | | | SIMP: (3062) implies:
% 73.93/10.92  | | | | | |   (3063)  all_4_24 = e0
% 73.93/10.92  | | | | | | 
% 73.93/10.92  | | | | | | REDUCE: (2107), (3063) imply:
% 73.93/10.92  | | | | | |   (3064)  $false
% 73.93/10.92  | | | | | | 
% 73.93/10.92  | | | | | | CLOSE: (3064) is inconsistent.
% 73.93/10.92  | | | | | | 
% 73.93/10.92  | | | | | End of split
% 73.93/10.92  | | | | | 
% 73.93/10.92  | | | | End of split
% 73.93/10.92  | | | | 
% 73.93/10.92  | | | End of split
% 73.93/10.92  | | | 
% 73.93/10.92  | | End of split
% 73.93/10.92  | | 
% 73.93/10.92  | End of split
% 73.93/10.92  | 
% 73.93/10.92  End of proof
% 73.93/10.92  
% 73.93/10.92  Sub-proof #1 shows that the following formulas are inconsistent:
% 73.93/10.92  ----------------------------------------------------------------
% 73.93/10.92    (1)  all_8_33 = e1 &  ~ (all_8_34 = e2)
% 73.93/10.92    (2)  all_8_33 = all_4_22
% 73.93/10.92    (3)   ~ (all_4_22 = e1)
% 73.93/10.92  
% 73.93/10.92  Begin of proof
% 73.93/10.92  | 
% 73.93/10.92  | ALPHA: (1) implies:
% 73.93/10.92  |   (4)  all_8_33 = e1
% 73.93/10.92  | 
% 73.93/10.92  | COMBINE_EQS: (2), (4) imply:
% 73.93/10.92  |   (5)  all_4_22 = e1
% 73.93/10.92  | 
% 73.93/10.92  | SIMP: (5) implies:
% 73.93/10.92  |   (6)  all_4_22 = e1
% 73.93/10.92  | 
% 73.93/10.92  | REDUCE: (3), (6) imply:
% 73.93/10.92  |   (7)  $false
% 73.93/10.92  | 
% 73.93/10.92  | CLOSE: (7) is inconsistent.
% 73.93/10.92  | 
% 73.93/10.92  End of proof
% 73.93/10.92  
% 73.93/10.92  Sub-proof #2 shows that the following formulas are inconsistent:
% 73.93/10.92  ----------------------------------------------------------------
% 73.93/10.92    (1)  all_10_1 = e4 | all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 |
% 73.93/10.92         all_10_21 = e4
% 73.93/10.92    (2)   ~ (all_4_9 = e0)
% 73.93/10.92    (3)   ~ (all_4_10 = e3)
% 73.93/10.92    (4)  all_10_20 = e0 | all_10_21 = e0 | all_10_22 = e0 | all_10_23 = e0
% 73.93/10.92    (5)   ~ (e3 = e2)
% 73.93/10.92    (6)  all_10_4 = all_4_10
% 73.93/10.92    (7)  all_10_22 = e2
% 73.93/10.92    (8)  all_10_20 = e4
% 73.93/10.92    (9)   ~ (all_4_20 = e3)
% 73.93/10.92    (10)  all_10_1 = all_4_5
% 73.93/10.92    (11)   ~ (all_4_4 = e2)
% 73.93/10.92    (12)  op(e0, e0) = e1
% 73.93/10.92    (13)   ~ (e2 = e0)
% 73.93/10.92    (14)  all_10_16 = all_4_20
% 73.93/10.92    (15)   ~ (e4 = e0)
% 73.93/10.92    (16)  all_10_3 = e0
% 73.93/10.92    (17)   ~ (all_4_4 = all_4_9)
% 73.93/10.92    (18)  all_10_23 = all_4_19
% 73.93/10.92    (19)  all_10_21 = all_4_9
% 73.93/10.92    (20)   ~ (all_4_10 = e0)
% 73.93/10.92    (21)  op(e0, all_4_19) = all_8_50
% 73.93/10.92    (22)  all_6_21 = all_4_9
% 73.93/10.92    (23)  all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 73.93/10.92          all_10_23 = e3
% 73.93/10.92    (24)  all_10_20 = all_4_4
% 73.93/10.92    (25)  all_10_0 = e3 | all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 73.93/10.92          all_10_16 = e3
% 73.93/10.92    (26)   ~ (e4 = e3)
% 73.93/10.92    (27)   ~ (all_4_5 = e0)
% 73.93/10.92    (28)   ~ (all_4_15 = all_4_19)
% 73.93/10.92    (29)  op(e0, all_4_20) = e4
% 73.93/10.92    (30)   ~ (all_4_19 = e1)
% 73.93/10.92    (31)  all_10_9 = all_4_15
% 73.93/10.92    (32)   ~ (all_4_9 = e1)
% 73.93/10.92    (33)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 73.93/10.92    (34)   ~ (all_4_5 = all_4_10)
% 73.93/10.92    (35)  all_10_13 = e2
% 73.93/10.92    (36)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 73.93/10.92            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 73.93/10.92    (37)  all_6_2 = all_4_10
% 73.93/10.92    (38)   ~ (all_4_4 = e1)
% 73.93/10.92    (39)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.93/10.92    (40)  all_10_0 = e2
% 73.93/10.92    (41)  all_10_0 = e0 | all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 73.93/10.92          all_10_16 = e0
% 73.93/10.92    (42)   ~ (all_4_5 = all_4_9)
% 73.93/10.92    (43)   ~ (all_4_4 = all_4_19)
% 73.93/10.92    (44)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 73.93/10.92          all_10_22 = e1
% 73.93/10.92    (45)  all_10_7 = e1
% 73.93/10.92  
% 73.93/10.92  Begin of proof
% 73.93/10.92  | 
% 73.93/10.92  | COMBINE_EQS: (8), (24) imply:
% 73.93/10.92  |   (46)  all_4_4 = e4
% 73.93/10.92  | 
% 73.93/10.92  | SIMP: (46) implies:
% 73.93/10.93  |   (47)  all_4_4 = e4
% 73.93/10.93  | 
% 73.93/10.93  | REDUCE: (17), (47) imply:
% 73.93/10.93  |   (48)   ~ (all_4_9 = e4)
% 73.93/10.93  | 
% 73.93/10.93  | SIMP: (48) implies:
% 73.93/10.93  |   (49)   ~ (all_4_9 = e4)
% 73.93/10.93  | 
% 73.93/10.93  | REDUCE: (43), (47) imply:
% 73.93/10.93  |   (50)   ~ (all_4_19 = e4)
% 73.93/10.93  | 
% 73.93/10.93  | SIMP: (50) implies:
% 73.93/10.93  |   (51)   ~ (all_4_19 = e4)
% 73.93/10.93  | 
% 73.93/10.93  | REDUCE: (11), (47) imply:
% 73.93/10.93  |   (52)   ~ (e4 = e2)
% 73.93/10.93  | 
% 73.93/10.93  | REDUCE: (38), (47) imply:
% 73.93/10.93  |   (53)   ~ (e4 = e1)
% 73.93/10.93  | 
% 73.93/10.93  | BETA: splitting (1) gives:
% 73.93/10.93  | 
% 73.93/10.93  | Case 1:
% 73.93/10.93  | | 
% 73.93/10.93  | |   (54)  all_10_1 = e4
% 73.93/10.93  | | 
% 73.93/10.93  | | COMBINE_EQS: (10), (54) imply:
% 73.93/10.93  | |   (55)  all_4_5 = e4
% 73.93/10.93  | | 
% 73.93/10.93  | | REDUCE: (34), (55) imply:
% 73.93/10.93  | |   (56)   ~ (all_4_10 = e4)
% 73.93/10.93  | | 
% 73.93/10.93  | | SIMP: (56) implies:
% 73.93/10.93  | |   (57)   ~ (all_4_10 = e4)
% 73.93/10.93  | | 
% 73.93/10.93  | | BETA: splitting (25) gives:
% 73.93/10.93  | | 
% 73.93/10.93  | | Case 1:
% 73.93/10.93  | | | 
% 73.93/10.93  | | |   (58)  all_10_0 = e3
% 73.93/10.93  | | | 
% 73.93/10.93  | | | REF_CLOSE: (5), (40), (58) are inconsistent by sub-proof #104.
% 73.93/10.93  | | | 
% 73.93/10.93  | | Case 2:
% 73.93/10.93  | | | 
% 73.93/10.93  | | |   (59)  all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3
% 73.93/10.93  | | | 
% 73.93/10.93  | | | BETA: splitting (4) gives:
% 73.93/10.93  | | | 
% 73.93/10.93  | | | Case 1:
% 73.93/10.93  | | | | 
% 73.93/10.93  | | | |   (60)  all_10_20 = e0
% 73.93/10.93  | | | | 
% 73.93/10.93  | | | | REF_CLOSE: (8), (15), (60) are inconsistent by sub-proof #76.
% 73.93/10.93  | | | | 
% 73.93/10.93  | | | Case 2:
% 73.93/10.93  | | | | 
% 73.93/10.93  | | | |   (61)  all_10_21 = e0 | all_10_22 = e0 | all_10_23 = e0
% 73.93/10.93  | | | | 
% 73.93/10.93  | | | | BETA: splitting (44) gives:
% 73.93/10.93  | | | | 
% 73.93/10.93  | | | | Case 1:
% 73.93/10.93  | | | | | 
% 73.93/10.93  | | | | |   (62)  all_10_4 = e1
% 73.93/10.93  | | | | | 
% 73.93/10.93  | | | | | COMBINE_EQS: (6), (62) imply:
% 73.93/10.93  | | | | |   (63)  all_4_10 = e1
% 73.93/10.93  | | | | | 
% 73.93/10.93  | | | | | REDUCE: (57), (63) imply:
% 73.93/10.93  | | | | |   (64)   ~ (e4 = e1)
% 73.93/10.93  | | | | | 
% 73.93/10.93  | | | | | REDUCE: (3), (63) imply:
% 73.93/10.93  | | | | |   (65)   ~ (e3 = e1)
% 73.93/10.93  | | | | | 
% 73.93/10.93  | | | | | SIMP: (65) implies:
% 73.93/10.93  | | | | |   (66)   ~ (e3 = e1)
% 73.93/10.93  | | | | | 
% 73.93/10.93  | | | | | BETA: splitting (59) gives:
% 73.93/10.93  | | | | | 
% 73.93/10.93  | | | | | Case 1:
% 73.93/10.93  | | | | | | 
% 73.93/10.93  | | | | | |   (67)  all_10_1 = e3
% 73.93/10.93  | | | | | | 
% 73.93/10.93  | | | | | | COMBINE_EQS: (54), (67) imply:
% 73.93/10.93  | | | | | |   (68)  e4 = e3
% 73.93/10.93  | | | | | | 
% 73.93/10.93  | | | | | | REDUCE: (26), (68) imply:
% 73.93/10.93  | | | | | |   (69)  $false
% 73.93/10.93  | | | | | | 
% 73.93/10.93  | | | | | | CLOSE: (69) is inconsistent.
% 73.93/10.93  | | | | | | 
% 73.93/10.93  | | | | | Case 2:
% 73.93/10.93  | | | | | | 
% 73.93/10.93  | | | | | |   (70)  all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3
% 73.93/10.93  | | | | | | 
% 73.93/10.93  | | | | | | BETA: splitting (70) gives:
% 73.93/10.93  | | | | | | 
% 73.93/10.93  | | | | | | Case 1:
% 73.93/10.93  | | | | | | | 
% 73.93/10.93  | | | | | | |   (71)  all_10_4 = e3
% 73.93/10.93  | | | | | | | 
% 73.93/10.93  | | | | | | | REF_CLOSE: (62), (66), (71) are inconsistent by sub-proof #31.
% 73.93/10.93  | | | | | | | 
% 73.93/10.93  | | | | | | Case 2:
% 73.93/10.93  | | | | | | | 
% 73.93/10.93  | | | | | | |   (72)  all_10_9 = e3 | all_10_16 = e3
% 73.93/10.93  | | | | | | | 
% 73.93/10.93  | | | | | | | BETA: splitting (33) gives:
% 73.93/10.93  | | | | | | | 
% 73.93/10.93  | | | | | | | Case 1:
% 73.93/10.93  | | | | | | | | 
% 73.93/10.93  | | | | | | | |   (73)  all_6_21 = e4
% 73.93/10.93  | | | | | | | | 
% 73.93/10.93  | | | | | | | | COMBINE_EQS: (22), (73) imply:
% 73.93/10.93  | | | | | | | |   (74)  all_4_9 = e4
% 73.93/10.93  | | | | | | | | 
% 73.93/10.93  | | | | | | | | REDUCE: (49), (74) imply:
% 73.93/10.93  | | | | | | | |   (75)  $false
% 73.93/10.93  | | | | | | | | 
% 73.93/10.93  | | | | | | | | CLOSE: (75) is inconsistent.
% 73.93/10.93  | | | | | | | | 
% 73.93/10.93  | | | | | | | Case 2:
% 73.93/10.93  | | | | | | | | 
% 73.93/10.93  | | | | | | | |   (76)  all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 73.93/10.93  | | | | | | | | 
% 73.93/10.93  | | | | | | | | BETA: splitting (76) gives:
% 73.93/10.93  | | | | | | | | 
% 73.93/10.93  | | | | | | | | Case 1:
% 73.93/10.93  | | | | | | | | | 
% 73.93/10.93  | | | | | | | | |   (77)  all_6_21 = e1
% 73.93/10.93  | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | COMBINE_EQS: (22), (77) imply:
% 73.93/10.93  | | | | | | | | |   (78)  all_4_9 = e1
% 73.93/10.93  | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | REDUCE: (32), (78) imply:
% 73.93/10.93  | | | | | | | | |   (79)  $false
% 73.93/10.93  | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | CLOSE: (79) is inconsistent.
% 73.93/10.93  | | | | | | | | | 
% 73.93/10.93  | | | | | | | | Case 2:
% 73.93/10.93  | | | | | | | | | 
% 73.93/10.93  | | | | | | | | |   (80)  all_6_21 = e3 | all_6_21 = e0
% 73.93/10.93  | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | BETA: splitting (80) gives:
% 73.93/10.93  | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | Case 1:
% 73.93/10.93  | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | |   (81)  all_6_21 = e3
% 73.93/10.93  | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | COMBINE_EQS: (22), (81) imply:
% 73.93/10.93  | | | | | | | | | |   (82)  all_4_9 = e3
% 73.93/10.93  | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | COMBINE_EQS: (19), (82) imply:
% 73.93/10.93  | | | | | | | | | |   (83)  all_10_21 = e3
% 73.93/10.93  | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | REDUCE: (2), (82) imply:
% 73.93/10.93  | | | | | | | | | |   (84)   ~ (e3 = e0)
% 73.93/10.93  | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | BETA: splitting (23) gives:
% 73.93/10.93  | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | Case 1:
% 73.93/10.93  | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | |   (85)  all_10_9 = e3
% 73.93/10.93  | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | COMBINE_EQS: (31), (85) imply:
% 73.93/10.93  | | | | | | | | | | |   (86)  all_4_15 = e3
% 73.93/10.93  | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | REDUCE: (28), (86) imply:
% 73.93/10.93  | | | | | | | | | | |   (87)   ~ (all_4_19 = e3)
% 73.93/10.93  | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | SIMP: (87) implies:
% 73.93/10.93  | | | | | | | | | | |   (88)   ~ (all_4_19 = e3)
% 73.93/10.93  | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | BETA: splitting (41) gives:
% 73.93/10.93  | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | Case 1:
% 73.93/10.93  | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | |   (89)  all_10_0 = e0
% 73.93/10.93  | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | COMBINE_EQS: (40), (89) imply:
% 73.93/10.93  | | | | | | | | | | | |   (90)  e2 = e0
% 73.93/10.93  | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | REDUCE: (13), (90) imply:
% 73.93/10.93  | | | | | | | | | | | |   (91)  $false
% 73.93/10.93  | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | CLOSE: (91) is inconsistent.
% 73.93/10.93  | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | Case 2:
% 73.93/10.93  | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | |   (92)   ~ (all_10_0 = e0)
% 73.93/10.93  | | | | | | | | | | | |   (93)  all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 73.93/10.93  | | | | | | | | | | | |         all_10_16 = e0
% 73.93/10.93  | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | BETA: splitting (61) gives:
% 73.93/10.93  | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | Case 1:
% 73.93/10.93  | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | |   (94)  all_10_21 = e0
% 73.93/10.93  | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | REF_CLOSE: (83), (84), (94) are inconsistent by sub-proof
% 73.93/10.93  | | | | | | | | | | | | |            #30.
% 73.93/10.93  | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | Case 2:
% 73.93/10.93  | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | |   (95)  all_10_22 = e0 | all_10_23 = e0
% 73.93/10.93  | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | BETA: splitting (95) gives:
% 73.93/10.93  | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | Case 1:
% 73.93/10.93  | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | |   (96)  all_10_22 = e0
% 73.93/10.93  | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | REF_CLOSE: (7), (13), (96) are inconsistent by sub-proof #29.
% 73.93/10.93  | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | Case 2:
% 73.93/10.93  | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | |   (97)  all_10_23 = e0
% 73.93/10.93  | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | COMBINE_EQS: (18), (97) imply:
% 73.93/10.93  | | | | | | | | | | | | | |   (98)  all_4_19 = e0
% 73.93/10.93  | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | SIMP: (98) implies:
% 73.93/10.93  | | | | | | | | | | | | | |   (99)  all_4_19 = e0
% 73.93/10.93  | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | REDUCE: (51), (99) imply:
% 73.93/10.93  | | | | | | | | | | | | | |   (100)   ~ (e4 = e0)
% 73.93/10.93  | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | REDUCE: (88), (99) imply:
% 73.93/10.93  | | | | | | | | | | | | | |   (101)   ~ (e3 = e0)
% 73.93/10.93  | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | REDUCE: (30), (99) imply:
% 73.93/10.93  | | | | | | | | | | | | | |   (102)   ~ (e1 = e0)
% 73.93/10.93  | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | SIMP: (102) implies:
% 73.93/10.93  | | | | | | | | | | | | | |   (103)   ~ (e1 = e0)
% 73.93/10.93  | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | REDUCE: (21), (99) imply:
% 73.93/10.93  | | | | | | | | | | | | | |   (104)  op(e0, e0) = all_8_50
% 73.93/10.93  | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 73.93/10.93  | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | Case 1:
% 73.93/10.93  | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | |   (105)  all_10_1 = e0
% 73.93/10.93  | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | COMBINE_EQS: (54), (105) imply:
% 73.93/10.93  | | | | | | | | | | | | | | |   (106)  e4 = e0
% 73.93/10.93  | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | REDUCE: (15), (106) imply:
% 73.93/10.93  | | | | | | | | | | | | | | |   (107)  $false
% 73.93/10.93  | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | CLOSE: (107) is inconsistent.
% 73.93/10.93  | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | Case 2:
% 73.93/10.93  | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | |   (108)  all_10_4 = e0 | all_10_9 = e0 | all_10_16 = e0
% 73.93/10.93  | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | BETA: splitting (108) gives:
% 73.93/10.93  | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | Case 1:
% 73.93/10.93  | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | |   (109)  all_10_4 = e0
% 73.93/10.93  | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | | COMBINE_EQS: (62), (109) imply:
% 73.93/10.93  | | | | | | | | | | | | | | | |   (110)  e1 = e0
% 73.93/10.93  | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | | REDUCE: (103), (110) imply:
% 73.93/10.93  | | | | | | | | | | | | | | | |   (111)  $false
% 73.93/10.93  | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | | CLOSE: (111) is inconsistent.
% 73.93/10.93  | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | Case 2:
% 73.93/10.93  | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | |   (112)  all_10_9 = e0 | all_10_16 = e0
% 73.93/10.93  | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | | BETA: splitting (112) gives:
% 73.93/10.93  | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | | Case 1:
% 73.93/10.93  | | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | | |   (113)  all_10_9 = e0
% 73.93/10.93  | | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | | | COMBINE_EQS: (85), (113) imply:
% 73.93/10.93  | | | | | | | | | | | | | | | | |   (114)  e3 = e0
% 73.93/10.93  | | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | | | REDUCE: (84), (114) imply:
% 73.93/10.93  | | | | | | | | | | | | | | | | |   (115)  $false
% 73.93/10.93  | | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | | | CLOSE: (115) is inconsistent.
% 73.93/10.93  | | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | | Case 2:
% 73.93/10.93  | | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | | |   (116)  all_10_16 = e0
% 73.93/10.93  | | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | | | COMBINE_EQS: (14), (116) imply:
% 73.93/10.93  | | | | | | | | | | | | | | | | |   (117)  all_4_20 = e0
% 73.93/10.93  | | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | | | REDUCE: (29), (117) imply:
% 73.93/10.93  | | | | | | | | | | | | | | | | |   (118)  op(e0, e0) = e4
% 73.93/10.93  | | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with e1, all_8_50, e0, e0,
% 73.93/10.93  | | | | | | | | | | | | | | | | |              simplifying with (12), (104) gives:
% 73.93/10.93  | | | | | | | | | | | | | | | | |   (119)  all_8_50 = e1
% 73.93/10.93  | | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with e4, all_8_50, e0, e0,
% 73.93/10.93  | | | | | | | | | | | | | | | | |              simplifying with (104), (118) gives:
% 73.93/10.93  | | | | | | | | | | | | | | | | |   (120)  all_8_50 = e4
% 73.93/10.93  | | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | | | COMBINE_EQS: (119), (120) imply:
% 73.93/10.93  | | | | | | | | | | | | | | | | |   (121)  e4 = e1
% 73.93/10.93  | | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | | | SIMP: (121) implies:
% 73.93/10.93  | | | | | | | | | | | | | | | | |   (122)  e4 = e1
% 73.93/10.93  | | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | | | REDUCE: (53), (122) imply:
% 73.93/10.93  | | | | | | | | | | | | | | | | |   (123)  $false
% 73.93/10.93  | | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | | | CLOSE: (123) is inconsistent.
% 73.93/10.93  | | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | | End of split
% 73.93/10.93  | | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | | End of split
% 73.93/10.93  | | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | | End of split
% 73.93/10.93  | | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | | End of split
% 73.93/10.93  | | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | | End of split
% 73.93/10.93  | | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | End of split
% 73.93/10.93  | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | Case 2:
% 73.93/10.93  | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | |   (124)   ~ (all_10_9 = e3)
% 73.93/10.93  | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | REDUCE: (31), (124) imply:
% 73.93/10.93  | | | | | | | | | | |   (125)   ~ (all_4_15 = e3)
% 73.93/10.93  | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | | REF_CLOSE: (9), (14), (31), (72), (125) are inconsistent by
% 73.93/10.93  | | | | | | | | | | |            sub-proof #63.
% 73.93/10.93  | | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | End of split
% 73.93/10.93  | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | Case 2:
% 73.93/10.93  | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | |   (126)  all_6_21 = e0
% 73.93/10.93  | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | COMBINE_EQS: (22), (126) imply:
% 73.93/10.93  | | | | | | | | | |   (127)  all_4_9 = e0
% 73.93/10.93  | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | REDUCE: (2), (127) imply:
% 73.93/10.93  | | | | | | | | | |   (128)  $false
% 73.93/10.93  | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | | CLOSE: (128) is inconsistent.
% 73.93/10.93  | | | | | | | | | | 
% 73.93/10.93  | | | | | | | | | End of split
% 73.93/10.93  | | | | | | | | | 
% 73.93/10.93  | | | | | | | | End of split
% 73.93/10.93  | | | | | | | | 
% 73.93/10.93  | | | | | | | End of split
% 73.93/10.93  | | | | | | | 
% 73.93/10.93  | | | | | | End of split
% 73.93/10.93  | | | | | | 
% 73.93/10.93  | | | | | End of split
% 73.93/10.93  | | | | | 
% 73.93/10.93  | | | | Case 2:
% 73.93/10.93  | | | | | 
% 73.93/10.93  | | | | |   (129)   ~ (all_10_4 = e1)
% 73.93/10.93  | | | | | 
% 73.93/10.93  | | | | | REDUCE: (6), (129) imply:
% 73.93/10.93  | | | | |   (130)   ~ (all_4_10 = e1)
% 73.93/10.93  | | | | | 
% 73.93/10.93  | | | | | REF_CLOSE: (3), (20), (37), (39), (57), (130) are inconsistent by
% 73.93/10.93  | | | | |            sub-proof #161.
% 73.93/10.93  | | | | | 
% 73.93/10.93  | | | | End of split
% 73.93/10.93  | | | | 
% 73.93/10.93  | | | End of split
% 73.93/10.93  | | | 
% 73.93/10.93  | | End of split
% 73.93/10.93  | | 
% 73.93/10.93  | Case 2:
% 73.93/10.93  | | 
% 73.93/10.93  | |   (131)  all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 | all_10_21 = e4
% 73.93/10.93  | | 
% 73.93/10.93  | | REF_CLOSE: (15), (16), (19), (35), (45), (49), (52), (53), (131) are
% 73.93/10.93  | |            inconsistent by sub-proof #28.
% 73.93/10.93  | | 
% 73.93/10.93  | End of split
% 73.93/10.93  | 
% 73.93/10.93  End of proof
% 73.93/10.93  
% 73.93/10.93  Sub-proof #3 shows that the following formulas are inconsistent:
% 73.93/10.93  ----------------------------------------------------------------
% 73.93/10.93    (1)  all_10_14 = e0
% 73.93/10.93    (2)  op(e3, all_4_8) = e1
% 73.93/10.93    (3)   ~ (all_4_11 = e0)
% 73.93/10.93    (4)   ~ (all_4_11 = e3)
% 73.93/10.93    (5)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 73.93/10.93    (6)   ~ (all_4_10 = e3)
% 73.93/10.93    (7)   ~ (e3 = e2)
% 73.93/10.93    (8)  all_10_4 = all_4_10
% 73.93/10.93    (9)  all_10_15 = e4
% 73.93/10.93    (10)   ~ (e3 = e1)
% 73.93/10.93    (11)   ~ (all_4_10 = e0)
% 73.93/10.93    (12)  op(e2, e1) = all_4_17
% 73.93/10.93    (13)  all_10_12 = e1 | all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 |
% 73.93/10.93          all_10_19 = e1
% 73.93/10.93    (14)   ~ (e2 = e1)
% 73.93/10.93    (15)   ~ (e4 = e3)
% 73.93/10.93    (16)   ~ (all_4_5 = e0)
% 73.93/10.93    (17)  all_10_13 = all_4_8
% 73.93/10.93    (18)  all_10_12 = e3 | all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 |
% 73.93/10.93          all_10_19 = e3
% 73.93/10.93    (19)  all_10_19 = e2
% 73.93/10.93    (20)   ~ (all_4_10 = all_4_11)
% 73.93/10.93    (21)   ~ (e1 = e0)
% 73.93/10.93    (22)   ~ (all_4_5 = e4)
% 73.93/10.93    (23)  all_6_1 = all_4_5
% 73.93/10.93    (24)   ~ (all_4_5 = all_4_10)
% 73.93/10.93    (25)  all_6_7 = all_4_11
% 73.93/10.93    (26)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 73.93/10.93            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 73.93/10.93    (27)  all_6_2 = all_4_10
% 73.93/10.93    (28)  all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 73.93/10.93    (29)   ~ (e4 = e1)
% 73.93/10.93    (30)   ~ (e3 = e0)
% 73.93/10.93    (31)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.93/10.94    (32)   ~ (all_4_17 = e3)
% 73.93/10.94    (33)  op(e2, all_4_11) = e3
% 73.93/10.95    (34)   ~ (all_4_5 = all_4_8)
% 73.93/10.95    (35)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 73.93/10.95          all_10_22 = e1
% 73.93/10.95    (36)   ~ (all_4_8 = e2)
% 73.93/10.95    (37)  op(e3, e1) = e2
% 73.93/10.95  
% 73.93/10.95  Begin of proof
% 73.93/10.95  | 
% 73.93/10.95  | BETA: splitting (13) gives:
% 73.93/10.95  | 
% 73.93/10.95  | Case 1:
% 73.93/10.95  | | 
% 73.93/10.95  | |   (38)  all_10_12 = e1
% 73.93/10.95  | | 
% 73.93/10.95  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (15),
% 73.93/10.95  | |            (16), (17), (18), (19), (20), (22), (23), (24), (25), (26), (27),
% 73.93/10.95  | |            (28), (30), (31), (32), (33), (34), (35), (38) are inconsistent
% 73.93/10.95  | |            by sub-proof #4.
% 73.93/10.95  | | 
% 73.93/10.95  | Case 2:
% 73.93/10.95  | | 
% 73.93/10.95  | |   (39)  all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 | all_10_19 = e1
% 73.93/10.95  | | 
% 73.93/10.95  | | REF_CLOSE: (1), (2), (9), (14), (17), (19), (21), (26), (29), (36), (37),
% 73.93/10.95  | |            (39) are inconsistent by sub-proof #34.
% 73.93/10.95  | | 
% 73.93/10.95  | End of split
% 73.93/10.95  | 
% 73.93/10.95  End of proof
% 73.93/10.95  
% 73.93/10.95  Sub-proof #4 shows that the following formulas are inconsistent:
% 73.93/10.95  ----------------------------------------------------------------
% 73.93/10.95    (1)  all_10_14 = e0
% 73.93/10.95    (2)   ~ (all_4_11 = e0)
% 73.93/10.95    (3)   ~ (all_4_11 = e3)
% 73.93/10.95    (4)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 73.93/10.95    (5)   ~ (all_4_10 = e3)
% 73.93/10.95    (6)   ~ (e3 = e2)
% 73.93/10.95    (7)  all_10_4 = all_4_10
% 73.93/10.95    (8)  all_10_15 = e4
% 73.93/10.95    (9)   ~ (e3 = e1)
% 73.93/10.95    (10)   ~ (all_4_10 = e0)
% 73.93/10.95    (11)  op(e2, e1) = all_4_17
% 73.93/10.95    (12)   ~ (e4 = e3)
% 73.93/10.95    (13)   ~ (all_4_5 = e0)
% 73.93/10.95    (14)  all_10_13 = all_4_8
% 73.93/10.95    (15)  all_10_12 = e3 | all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 |
% 73.93/10.95          all_10_19 = e3
% 73.93/10.95    (16)  all_10_19 = e2
% 73.93/10.95    (17)   ~ (all_4_10 = all_4_11)
% 73.93/10.95    (18)  all_10_12 = e1
% 73.93/10.95    (19)   ~ (all_4_5 = e4)
% 73.93/10.95    (20)  all_6_1 = all_4_5
% 73.93/10.95    (21)   ~ (all_4_5 = all_4_10)
% 73.93/10.95    (22)  all_6_7 = all_4_11
% 73.93/10.95    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 73.93/10.95            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 73.93/10.95    (24)  all_6_2 = all_4_10
% 73.93/10.95    (25)  all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 73.93/10.95    (26)   ~ (e3 = e0)
% 73.93/10.95    (27)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.93/10.95    (28)   ~ (all_4_17 = e3)
% 73.93/10.95    (29)  op(e2, all_4_11) = e3
% 73.93/10.95    (30)   ~ (all_4_5 = all_4_8)
% 73.93/10.95    (31)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 73.93/10.95          all_10_22 = e1
% 73.93/10.95  
% 73.93/10.95  Begin of proof
% 73.93/10.95  | 
% 73.93/10.95  | BETA: splitting (15) gives:
% 73.93/10.95  | 
% 73.93/10.95  | Case 1:
% 73.93/10.95  | | 
% 73.93/10.95  | |   (32)  all_10_12 = e3
% 73.93/10.95  | | 
% 73.93/10.95  | | COMBINE_EQS: (18), (32) imply:
% 73.93/10.95  | |   (33)  e3 = e1
% 73.93/10.95  | | 
% 73.93/10.95  | | REDUCE: (9), (33) imply:
% 73.93/10.95  | |   (34)  $false
% 73.93/10.95  | | 
% 73.93/10.95  | | CLOSE: (34) is inconsistent.
% 73.93/10.95  | | 
% 73.93/10.95  | Case 2:
% 73.93/10.95  | | 
% 73.93/10.95  | |   (35)  all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3
% 73.93/10.95  | | 
% 73.93/10.95  | | BETA: splitting (35) gives:
% 73.93/10.95  | | 
% 73.93/10.95  | | Case 1:
% 73.93/10.95  | | | 
% 73.93/10.95  | | |   (36)  all_10_13 = e3
% 73.93/10.95  | | | 
% 73.93/10.95  | | | COMBINE_EQS: (14), (36) imply:
% 73.93/10.95  | | |   (37)  all_4_8 = e3
% 73.93/10.95  | | | 
% 73.93/10.95  | | | SIMP: (37) implies:
% 73.93/10.95  | | |   (38)  all_4_8 = e3
% 73.93/10.95  | | | 
% 73.93/10.95  | | | REDUCE: (30), (38) imply:
% 73.93/10.95  | | |   (39)   ~ (all_4_5 = e3)
% 73.93/10.95  | | | 
% 73.93/10.95  | | | REF_CLOSE: (2), (3), (4), (5), (7), (10), (11), (13), (17), (19), (20),
% 73.93/10.95  | | |            (21), (22), (23), (24), (25), (27), (28), (29), (31), (39) are
% 73.93/10.95  | | |            inconsistent by sub-proof #6.
% 73.93/10.95  | | | 
% 73.93/10.95  | | Case 2:
% 73.93/10.95  | | | 
% 73.93/10.95  | | |   (40)  all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3
% 73.93/10.95  | | | 
% 73.93/10.95  | | | REF_CLOSE: (1), (6), (8), (12), (16), (26), (40) are inconsistent by
% 73.93/10.95  | | |            sub-proof #40.
% 73.93/10.95  | | | 
% 73.93/10.95  | | End of split
% 73.93/10.95  | | 
% 73.93/10.95  | End of split
% 73.93/10.95  | 
% 73.93/10.95  End of proof
% 73.93/10.95  
% 73.93/10.95  Sub-proof #5 shows that the following formulas are inconsistent:
% 73.93/10.95  ----------------------------------------------------------------
% 73.93/10.95    (1)   ~ (all_4_5 = e2)
% 73.93/10.95    (2)   ~ (all_4_1 = e0)
% 73.93/10.95    (3)  all_10_1 = e4 | all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 |
% 73.93/10.95         all_10_21 = e4
% 73.93/10.95    (4)  all_10_8 = e3
% 73.93/10.95    (5)   ~ (all_4_1 = all_4_2)
% 73.93/10.95    (6)  all_10_14 = e0
% 73.93/10.95    (7)   ~ (all_4_9 = e0)
% 73.93/10.95    (8)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 73.93/10.95    (9)   ~ (all_4_11 = e0)
% 73.93/10.95    (10)   ~ (all_4_11 = e3)
% 73.93/10.95    (11)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 73.93/10.95    (12)   ~ (all_4_10 = e3)
% 73.93/10.95    (13)  all_10_4 = all_4_10
% 73.93/10.95    (14)  all_10_22 = e2
% 73.93/10.95    (15)  all_10_20 = e4
% 73.93/10.95    (16)  all_10_1 = all_4_5
% 73.93/10.95    (17)   ~ (all_4_20 = all_4_21)
% 73.93/10.95    (18)   ~ (e2 = e0)
% 73.93/10.95    (19)  all_6_9 = all_4_21
% 73.93/10.95    (20)  all_10_16 = e4 | all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 |
% 73.93/10.95          all_10_24 = e4
% 73.93/10.95    (21)  all_10_12 = all_4_3
% 73.93/10.95    (22)   ~ (all_4_2 = e3)
% 73.93/10.95    (23)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 73.93/10.95    (24)  all_10_16 = all_4_20
% 73.93/10.95    (25)   ~ (all_4_2 = all_4_22)
% 73.93/10.95    (26)  all_10_21 = all_4_9
% 73.93/10.95    (27)   ~ (all_4_10 = e0)
% 73.93/10.95    (28)  op(e2, e4) = all_4_2
% 73.93/10.95    (29)   ~ (all_4_22 = e1)
% 73.93/10.95    (30)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 73.93/10.95    (31)  all_10_17 = all_4_21
% 73.93/10.95    (32)  all_6_21 = all_4_9
% 73.93/10.95    (33)  op(e2, e1) = all_4_17
% 73.93/10.95    (34)   ~ (all_4_5 = all_4_20)
% 73.93/10.95    (35)  all_6_5 = all_4_1
% 73.93/10.95    (36)   ~ (all_4_1 = all_4_11)
% 73.93/10.95    (37)   ~ (all_4_1 = all_4_21)
% 73.93/10.95    (38)  all_10_0 = e0 | all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 |
% 73.93/10.95          all_10_20 = e0
% 73.93/10.95    (39)  all_6_10 = all_4_2
% 73.93/10.95    (40)  op(e2, all_4_22) = all_8_59
% 73.93/10.95    (41)   ~ (e4 = e3)
% 73.93/10.95    (42)  all_10_2 = all_4_1
% 73.93/10.95    (43)   ~ (all_4_3 = e0)
% 73.93/10.95    (44)   ~ (all_4_5 = e0)
% 73.93/10.95    (45)   ~ (all_4_22 = e3)
% 73.93/10.95    (46)   ~ (all_4_21 = e1)
% 73.93/10.95    (47)  all_6_14 = all_4_22
% 73.93/10.95    (48)   ~ (all_4_9 = e1)
% 73.93/10.95    (49)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 73.93/10.95    (50)   ~ (all_4_2 = e2)
% 73.93/10.95    (51)   ~ (all_4_9 = e4)
% 73.93/10.95    (52)   ~ (all_4_2 = e4)
% 73.93/10.95    (53)  all_10_19 = e2
% 73.93/10.95    (54)   ~ (all_4_10 = all_4_11)
% 73.93/10.95    (55)   ~ (all_4_21 = e0)
% 73.93/10.95    (56)  all_6_1 = all_4_5
% 73.93/10.95    (57)   ~ (all_4_5 = all_4_10)
% 73.93/10.95    (58)  all_6_7 = all_4_11
% 73.93/10.95    (59)   ~ (all_4_11 = all_4_21)
% 73.93/10.95    (60)  all_10_20 = e3 | all_10_21 = e3 | all_10_22 = e3 | all_10_23 = e3 |
% 73.93/10.95          all_10_24 = e3
% 73.93/10.95    (61)  all_10_6 = all_4_2
% 73.93/10.95    (62)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 73.93/10.95            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 73.93/10.95    (63)  all_10_5 = all_4_11
% 73.93/10.95    (64)  all_6_2 = all_4_10
% 73.93/10.95    (65)  all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 73.93/10.95    (66)  all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 73.93/10.95          all_10_22 = e4
% 73.93/10.95    (67)  all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 73.93/10.95    (68)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.93/10.95    (69)  all_10_0 = e2
% 73.93/10.95    (70)   ~ (all_4_17 = e3)
% 73.93/10.95    (71)  all_10_18 = all_4_22
% 73.93/10.95    (72)   ~ (all_4_5 = all_4_9)
% 73.93/10.95    (73)  all_10_2 = e1 | all_10_3 = e1 | all_10_5 = e1 | all_10_10 = e1 |
% 73.93/10.95          all_10_17 = e1
% 73.93/10.95    (74)  op(e2, all_4_11) = e3
% 73.93/10.95    (75)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 73.93/10.95          all_10_22 = e1
% 73.93/10.96    (76)  all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0 | all_10_19 = e0
% 73.93/10.96    (77)  all_10_16 = e3 | all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 |
% 73.93/10.96          all_10_24 = e3
% 73.93/10.96  
% 73.93/10.96  Begin of proof
% 73.93/10.96  | 
% 73.93/10.96  | BETA: splitting (38) gives:
% 73.93/10.96  | 
% 73.93/10.96  | Case 1:
% 73.93/10.96  | | 
% 73.93/10.96  | |   (78)  all_10_0 = e0
% 73.93/10.96  | | 
% 73.93/10.96  | | COMBINE_EQS: (69), (78) imply:
% 73.93/10.96  | |   (79)  e2 = e0
% 73.93/10.96  | | 
% 73.93/10.96  | | REDUCE: (18), (79) imply:
% 73.93/10.96  | |   (80)  $false
% 73.93/10.96  | | 
% 73.93/10.96  | | CLOSE: (80) is inconsistent.
% 73.93/10.96  | | 
% 73.93/10.96  | Case 2:
% 73.93/10.96  | | 
% 73.93/10.96  | |   (81)  all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0
% 73.93/10.96  | | 
% 73.93/10.96  | | BETA: splitting (3) gives:
% 73.93/10.96  | | 
% 73.93/10.96  | | Case 1:
% 73.93/10.96  | | | 
% 73.93/10.96  | | |   (82)  all_10_1 = e4
% 73.93/10.96  | | | 
% 73.93/10.96  | | | COMBINE_EQS: (16), (82) imply:
% 73.93/10.96  | | |   (83)  all_4_5 = e4
% 73.93/10.96  | | | 
% 73.93/10.96  | | | REDUCE: (57), (83) imply:
% 73.93/10.96  | | |   (84)   ~ (all_4_10 = e4)
% 73.93/10.96  | | | 
% 73.93/10.96  | | | SIMP: (84) implies:
% 73.93/10.96  | | |   (85)   ~ (all_4_10 = e4)
% 73.93/10.96  | | | 
% 73.93/10.96  | | | REDUCE: (34), (83) imply:
% 73.93/10.96  | | |   (86)   ~ (all_4_20 = e4)
% 73.93/10.96  | | | 
% 73.93/10.96  | | | SIMP: (86) implies:
% 73.93/10.96  | | |   (87)   ~ (all_4_20 = e4)
% 73.93/10.96  | | | 
% 73.93/10.96  | | | REDUCE: (1), (83) imply:
% 73.93/10.96  | | |   (88)   ~ (e4 = e2)
% 73.93/10.96  | | | 
% 73.93/10.96  | | | REDUCE: (44), (83) imply:
% 73.93/10.96  | | |   (89)   ~ (e4 = e0)
% 73.93/10.96  | | | 
% 73.93/10.96  | | | BETA: splitting (66) gives:
% 73.93/10.96  | | | 
% 73.93/10.96  | | | Case 1:
% 73.93/10.96  | | | | 
% 73.93/10.96  | | | |   (90)  all_10_4 = e4
% 73.93/10.96  | | | | 
% 73.93/10.96  | | | | COMBINE_EQS: (13), (90) imply:
% 73.93/10.96  | | | |   (91)  all_4_10 = e4
% 73.93/10.96  | | | | 
% 73.93/10.96  | | | | REDUCE: (85), (91) imply:
% 73.93/10.96  | | | |   (92)  $false
% 73.93/10.96  | | | | 
% 73.93/10.96  | | | | CLOSE: (92) is inconsistent.
% 73.93/10.96  | | | | 
% 73.93/10.96  | | | Case 2:
% 73.93/10.96  | | | | 
% 73.93/10.96  | | | |   (93)  all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 | all_10_22 = e4
% 73.93/10.96  | | | | 
% 73.93/10.96  | | | | BETA: splitting (93) gives:
% 73.93/10.96  | | | | 
% 73.93/10.96  | | | | Case 1:
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | |   (94)  all_10_5 = e4
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | | COMBINE_EQS: (63), (94) imply:
% 73.93/10.96  | | | | |   (95)  all_4_11 = e4
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | | SIMP: (95) implies:
% 73.93/10.96  | | | | |   (96)  all_4_11 = e4
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | | REDUCE: (36), (96) imply:
% 73.93/10.96  | | | | |   (97)   ~ (all_4_1 = e4)
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | | REDUCE: (59), (96) imply:
% 73.93/10.96  | | | | |   (98)   ~ (all_4_21 = e4)
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | | SIMP: (98) implies:
% 73.93/10.96  | | | | |   (99)   ~ (all_4_21 = e4)
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | | REDUCE: (74), (96) imply:
% 73.93/10.96  | | | | |   (100)  op(e2, e4) = e3
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | | BETA: splitting (20) gives:
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | | Case 1:
% 73.93/10.96  | | | | | | 
% 73.93/10.96  | | | | | |   (101)  all_10_16 = e4
% 73.93/10.96  | | | | | | 
% 73.93/10.96  | | | | | | COMBINE_EQS: (24), (101) imply:
% 73.93/10.96  | | | | | |   (102)  all_4_20 = e4
% 73.93/10.96  | | | | | | 
% 73.93/10.96  | | | | | | REDUCE: (87), (102) imply:
% 73.93/10.96  | | | | | |   (103)  $false
% 73.93/10.96  | | | | | | 
% 73.93/10.96  | | | | | | CLOSE: (103) is inconsistent.
% 73.93/10.96  | | | | | | 
% 73.93/10.96  | | | | | Case 2:
% 73.93/10.96  | | | | | | 
% 73.93/10.96  | | | | | |   (104)  all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 |
% 73.93/10.96  | | | | | |          all_10_24 = e4
% 73.93/10.96  | | | | | | 
% 73.93/10.96  | | | | | | BETA: splitting (81) gives:
% 73.93/10.96  | | | | | | 
% 73.93/10.96  | | | | | | Case 1:
% 73.93/10.96  | | | | | | | 
% 73.93/10.96  | | | | | | |   (105)  all_10_2 = e0
% 73.93/10.96  | | | | | | | 
% 73.93/10.96  | | | | | | | REF_CLOSE: (2), (42), (105) are inconsistent by sub-proof #119.
% 73.93/10.96  | | | | | | | 
% 73.93/10.96  | | | | | | Case 2:
% 73.93/10.96  | | | | | | | 
% 73.93/10.96  | | | | | | |   (106)  all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0
% 73.93/10.96  | | | | | | | 
% 73.93/10.96  | | | | | | | BETA: splitting (73) gives:
% 73.93/10.96  | | | | | | | 
% 73.93/10.96  | | | | | | | Case 1:
% 73.93/10.96  | | | | | | | | 
% 73.93/10.96  | | | | | | | |   (107)  all_10_2 = e1
% 73.93/10.96  | | | | | | | | 
% 73.93/10.96  | | | | | | | | COMBINE_EQS: (42), (107) imply:
% 73.93/10.96  | | | | | | | |   (108)  all_4_1 = e1
% 73.93/10.96  | | | | | | | | 
% 73.93/10.96  | | | | | | | | SIMP: (108) implies:
% 73.93/10.96  | | | | | | | |   (109)  all_4_1 = e1
% 73.93/10.96  | | | | | | | | 
% 73.93/10.96  | | | | | | | | REDUCE: (5), (109) imply:
% 73.93/10.96  | | | | | | | |   (110)   ~ (all_4_2 = e1)
% 73.93/10.96  | | | | | | | | 
% 73.93/10.96  | | | | | | | | SIMP: (110) implies:
% 73.93/10.96  | | | | | | | |   (111)   ~ (all_4_2 = e1)
% 73.93/10.96  | | | | | | | | 
% 73.93/10.96  | | | | | | | | BETA: splitting (104) gives:
% 73.93/10.96  | | | | | | | | 
% 73.93/10.96  | | | | | | | | Case 1:
% 73.93/10.96  | | | | | | | | | 
% 73.93/10.96  | | | | | | | | |   (112)  all_10_17 = e4
% 73.93/10.96  | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | COMBINE_EQS: (31), (112) imply:
% 73.93/10.96  | | | | | | | | |   (113)  all_4_21 = e4
% 73.93/10.96  | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | REDUCE: (99), (113) imply:
% 73.93/10.96  | | | | | | | | |   (114)  $false
% 73.93/10.96  | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | CLOSE: (114) is inconsistent.
% 73.93/10.96  | | | | | | | | | 
% 73.93/10.96  | | | | | | | | Case 2:
% 73.93/10.96  | | | | | | | | | 
% 73.93/10.96  | | | | | | | | |   (115)  all_10_18 = e4 | all_10_19 = e4 | all_10_24 = e4
% 73.93/10.96  | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | BETA: splitting (115) gives:
% 73.93/10.96  | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | Case 1:
% 73.93/10.96  | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | |   (116)  all_10_18 = e4
% 73.93/10.96  | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | COMBINE_EQS: (71), (116) imply:
% 73.93/10.96  | | | | | | | | | |   (117)  all_4_22 = e4
% 73.93/10.96  | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | REDUCE: (40), (117) imply:
% 73.93/10.96  | | | | | | | | | |   (118)  op(e2, e4) = all_8_59
% 73.93/10.96  | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | BETA: splitting (106) gives:
% 73.93/10.96  | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | Case 1:
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | |   (119)  all_10_6 = e0
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | COMBINE_EQS: (61), (119) imply:
% 73.93/10.96  | | | | | | | | | | |   (120)  all_4_2 = e0
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | SIMP: (120) implies:
% 73.93/10.96  | | | | | | | | | | |   (121)  all_4_2 = e0
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | REDUCE: (22), (121) imply:
% 73.93/10.96  | | | | | | | | | | |   (122)   ~ (e3 = e0)
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | SIMP: (122) implies:
% 73.93/10.96  | | | | | | | | | | |   (123)   ~ (e3 = e0)
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | REDUCE: (28), (121) imply:
% 73.93/10.96  | | | | | | | | | | |   (124)  op(e2, e4) = e0
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | GROUND_INST: instantiating (62) with e3, all_8_59, e4, e2,
% 73.93/10.96  | | | | | | | | | | |              simplifying with (100), (118) gives:
% 73.93/10.96  | | | | | | | | | | |   (125)  all_8_59 = e3
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | GROUND_INST: instantiating (62) with e0, all_8_59, e4, e2,
% 73.93/10.96  | | | | | | | | | | |              simplifying with (118), (124) gives:
% 73.93/10.96  | | | | | | | | | | |   (126)  all_8_59 = e0
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | COMBINE_EQS: (125), (126) imply:
% 73.93/10.96  | | | | | | | | | | |   (127)  e3 = e0
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | REDUCE: (123), (127) imply:
% 73.93/10.96  | | | | | | | | | | |   (128)  $false
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | CLOSE: (128) is inconsistent.
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | Case 2:
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | |   (129)  all_10_12 = e0 | all_10_20 = e0
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | REF_CLOSE: (15), (21), (43), (89), (129) are inconsistent by
% 73.93/10.96  | | | | | | | | | | |            sub-proof #75.
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | End of split
% 73.93/10.96  | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | Case 2:
% 73.93/10.96  | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | |   (130)   ~ (all_10_18 = e4)
% 73.93/10.96  | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | REDUCE: (71), (130) imply:
% 73.93/10.96  | | | | | | | | | |   (131)   ~ (all_4_22 = e4)
% 73.93/10.96  | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | BETA: splitting (23) gives:
% 73.93/10.96  | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | Case 1:
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | |   (132)  all_6_14 = e4
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | COMBINE_EQS: (47), (132) imply:
% 73.93/10.96  | | | | | | | | | | |   (133)  all_4_22 = e4
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | SIMP: (133) implies:
% 73.93/10.96  | | | | | | | | | | |   (134)  all_4_22 = e4
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | REDUCE: (131), (134) imply:
% 73.93/10.96  | | | | | | | | | | |   (135)  $false
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | CLOSE: (135) is inconsistent.
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | Case 2:
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | |   (136)  all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | BETA: splitting (136) gives:
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | Case 1:
% 73.93/10.96  | | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | |   (137)  all_6_14 = e1
% 73.93/10.96  | | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | | REF_CLOSE: (29), (47), (137) are inconsistent by sub-proof
% 73.93/10.96  | | | | | | | | | | | |            #50.
% 73.93/10.96  | | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | Case 2:
% 73.93/10.96  | | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | |   (138)  all_6_14 = e3 | all_6_14 = e0
% 73.93/10.96  | | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | | BETA: splitting (138) gives:
% 73.93/10.96  | | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | | Case 1:
% 73.93/10.96  | | | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | | |   (139)  all_6_14 = e3
% 73.93/10.96  | | | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | | | REF_CLOSE: (45), (47), (139) are inconsistent by sub-proof
% 73.93/10.96  | | | | | | | | | | | | |            #49.
% 73.93/10.96  | | | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | | Case 2:
% 73.93/10.96  | | | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | | |   (140)  all_6_14 = e0
% 73.93/10.96  | | | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | | | COMBINE_EQS: (47), (140) imply:
% 73.93/10.96  | | | | | | | | | | | | |   (141)  all_4_22 = e0
% 73.93/10.96  | | | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | | | SIMP: (141) implies:
% 73.93/10.96  | | | | | | | | | | | | |   (142)  all_4_22 = e0
% 73.93/10.96  | | | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | | | REDUCE: (25), (142) imply:
% 73.93/10.96  | | | | | | | | | | | | |   (143)   ~ (all_4_2 = e0)
% 73.93/10.96  | | | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | | | REF_CLOSE: (22), (39), (52), (67), (111), (143) are
% 73.93/10.96  | | | | | | | | | | | | |            inconsistent by sub-proof #61.
% 73.93/10.96  | | | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | | End of split
% 73.93/10.96  | | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | | End of split
% 73.93/10.96  | | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | | End of split
% 73.93/10.96  | | | | | | | | | | 
% 73.93/10.96  | | | | | | | | | End of split
% 73.93/10.96  | | | | | | | | | 
% 73.93/10.96  | | | | | | | | End of split
% 73.93/10.96  | | | | | | | | 
% 73.93/10.96  | | | | | | | Case 2:
% 73.93/10.96  | | | | | | | | 
% 73.93/10.96  | | | | | | | |   (144)   ~ (all_10_2 = e1)
% 73.93/10.96  | | | | | | | | 
% 73.93/10.96  | | | | | | | | REF_CLOSE: (5), (8), (15), (17), (19), (21), (22), (23), (24),
% 73.93/10.96  | | | | | | | |            (25), (29), (30), (31), (35), (37), (42), (43), (45),
% 73.93/10.96  | | | | | | | |            (46), (47), (50), (52), (53), (55), (61), (71), (76),
% 73.93/10.96  | | | | | | | |            (77), (89), (97), (99), (106), (144) are inconsistent
% 73.93/10.96  | | | | | | | |            by sub-proof #46.
% 73.93/10.96  | | | | | | | | 
% 73.93/10.96  | | | | | | | End of split
% 73.93/10.96  | | | | | | | 
% 73.93/10.96  | | | | | | End of split
% 73.93/10.96  | | | | | | 
% 73.93/10.96  | | | | | End of split
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | Case 2:
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | |   (145)  all_10_8 = e4 | all_10_14 = e4 | all_10_22 = e4
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | | REF_CLOSE: (4), (6), (14), (41), (88), (89), (145) are inconsistent by
% 73.93/10.96  | | | | |            sub-proof #115.
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | End of split
% 73.93/10.96  | | | | 
% 73.93/10.96  | | | End of split
% 73.93/10.96  | | | 
% 73.93/10.96  | | Case 2:
% 73.93/10.96  | | | 
% 73.93/10.96  | | |   (146)   ~ (all_10_1 = e4)
% 73.93/10.96  | | | 
% 73.93/10.96  | | | REDUCE: (16), (146) imply:
% 73.93/10.96  | | |   (147)   ~ (all_4_5 = e4)
% 73.93/10.96  | | | 
% 73.93/10.96  | | | BETA: splitting (49) gives:
% 73.93/10.96  | | | 
% 73.93/10.96  | | | Case 1:
% 73.93/10.96  | | | | 
% 73.93/10.96  | | | |   (148)  all_6_21 = e4
% 73.93/10.96  | | | | 
% 73.93/10.96  | | | | COMBINE_EQS: (32), (148) imply:
% 73.93/10.96  | | | |   (149)  all_4_9 = e4
% 73.93/10.96  | | | | 
% 73.93/10.96  | | | | REDUCE: (51), (149) imply:
% 73.93/10.96  | | | |   (150)  $false
% 73.93/10.96  | | | | 
% 73.93/10.96  | | | | CLOSE: (150) is inconsistent.
% 73.93/10.96  | | | | 
% 73.93/10.96  | | | Case 2:
% 73.93/10.96  | | | | 
% 73.93/10.96  | | | |   (151)  all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 73.93/10.96  | | | | 
% 73.93/10.96  | | | | BETA: splitting (60) gives:
% 73.93/10.96  | | | | 
% 73.93/10.96  | | | | Case 1:
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | |   (152)  all_10_20 = e3
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | | COMBINE_EQS: (15), (152) imply:
% 73.93/10.96  | | | | |   (153)  e4 = e3
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | | REDUCE: (41), (153) imply:
% 73.93/10.96  | | | | |   (154)  $false
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | | CLOSE: (154) is inconsistent.
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | Case 2:
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | |   (155)  all_10_21 = e3 | all_10_22 = e3 | all_10_23 = e3 | all_10_24
% 73.93/10.96  | | | | |          = e3
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | | BETA: splitting (155) gives:
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | | Case 1:
% 73.93/10.96  | | | | | | 
% 73.93/10.96  | | | | | |   (156)  all_10_21 = e3
% 73.93/10.96  | | | | | | 
% 73.93/10.96  | | | | | | COMBINE_EQS: (26), (156) imply:
% 73.93/10.96  | | | | | |   (157)  all_4_9 = e3
% 73.93/10.96  | | | | | | 
% 73.93/10.96  | | | | | | REDUCE: (72), (157) imply:
% 73.93/10.96  | | | | | |   (158)   ~ (all_4_5 = e3)
% 73.93/10.96  | | | | | | 
% 73.93/10.96  | | | | | | REF_CLOSE: (9), (10), (11), (12), (13), (27), (33), (44), (54),
% 73.93/10.96  | | | | | |            (56), (57), (58), (62), (64), (65), (68), (70), (74),
% 73.93/10.96  | | | | | |            (75), (147), (158) are inconsistent by sub-proof #6.
% 73.93/10.96  | | | | | | 
% 73.93/10.96  | | | | | Case 2:
% 73.93/10.96  | | | | | | 
% 73.93/10.96  | | | | | |   (159)   ~ (all_10_21 = e3)
% 73.93/10.96  | | | | | | 
% 73.93/10.96  | | | | | | REDUCE: (26), (159) imply:
% 73.93/10.96  | | | | | |   (160)   ~ (all_4_9 = e3)
% 73.93/10.96  | | | | | | 
% 73.93/10.96  | | | | | | REF_CLOSE: (7), (32), (48), (151), (160) are inconsistent by
% 73.93/10.96  | | | | | |            sub-proof #126.
% 73.93/10.96  | | | | | | 
% 73.93/10.96  | | | | | End of split
% 73.93/10.96  | | | | | 
% 73.93/10.96  | | | | End of split
% 73.93/10.96  | | | | 
% 73.93/10.96  | | | End of split
% 73.93/10.96  | | | 
% 73.93/10.96  | | End of split
% 73.93/10.96  | | 
% 73.93/10.96  | End of split
% 73.93/10.96  | 
% 73.93/10.96  End of proof
% 73.93/10.96  
% 73.93/10.96  Sub-proof #6 shows that the following formulas are inconsistent:
% 73.93/10.96  ----------------------------------------------------------------
% 73.93/10.96    (1)   ~ (all_4_11 = e0)
% 73.93/10.96    (2)   ~ (all_4_11 = e3)
% 73.93/10.96    (3)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 73.93/10.96    (4)   ~ (all_4_10 = e3)
% 73.93/10.96    (5)  all_10_4 = all_4_10
% 73.93/10.96    (6)   ~ (all_4_10 = e0)
% 73.93/10.96    (7)   ~ (all_4_5 = e3)
% 73.93/10.96    (8)  op(e2, e1) = all_4_17
% 73.93/10.96    (9)   ~ (all_4_5 = e0)
% 73.93/10.96    (10)   ~ (all_4_10 = all_4_11)
% 73.93/10.96    (11)   ~ (all_4_5 = e4)
% 73.93/10.96    (12)  all_6_1 = all_4_5
% 73.93/10.96    (13)   ~ (all_4_5 = all_4_10)
% 73.93/10.96    (14)  all_6_7 = all_4_11
% 73.93/10.96    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 73.93/10.96            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 73.93/10.96    (16)  all_6_2 = all_4_10
% 73.93/10.96    (17)  all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 73.93/10.96    (18)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.93/10.96    (19)   ~ (all_4_17 = e3)
% 73.93/10.96    (20)  op(e2, all_4_11) = e3
% 73.93/10.96    (21)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 73.93/10.96          all_10_22 = e1
% 73.93/10.96  
% 73.93/10.96  Begin of proof
% 73.93/10.96  | 
% 73.93/10.96  | BETA: splitting (18) gives:
% 73.93/10.96  | 
% 73.93/10.96  | Case 1:
% 73.93/10.96  | | 
% 73.93/10.96  | |   (22)  all_6_2 = e4
% 73.93/10.96  | | 
% 73.93/10.96  | | COMBINE_EQS: (16), (22) imply:
% 73.93/10.96  | |   (23)  all_4_10 = e4
% 73.93/10.96  | | 
% 73.93/10.96  | | SIMP: (23) implies:
% 73.93/10.96  | |   (24)  all_4_10 = e4
% 73.93/10.96  | | 
% 73.93/10.96  | | REDUCE: (10), (24) imply:
% 73.93/10.96  | |   (25)   ~ (all_4_11 = e4)
% 73.93/10.96  | | 
% 73.93/10.96  | | SIMP: (25) implies:
% 73.93/10.96  | |   (26)   ~ (all_4_11 = e4)
% 73.93/10.96  | | 
% 73.93/10.97  | | REF_CLOSE: (1), (2), (8), (14), (15), (17), (19), (20), (26) are
% 73.93/10.97  | |            inconsistent by sub-proof #7.
% 73.93/10.97  | | 
% 73.93/10.97  | Case 2:
% 73.93/10.97  | | 
% 73.93/10.97  | |   (27)  all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.93/10.97  | | 
% 73.93/10.97  | | REF_CLOSE: (3), (4), (5), (6), (7), (9), (11), (12), (13), (16), (21), (27)
% 73.93/10.97  | |            are inconsistent by sub-proof #44.
% 73.93/10.97  | | 
% 73.93/10.97  | End of split
% 73.93/10.97  | 
% 73.93/10.97  End of proof
% 73.93/10.97  
% 73.93/10.97  Sub-proof #7 shows that the following formulas are inconsistent:
% 73.93/10.97  ----------------------------------------------------------------
% 73.93/10.97    (1)   ~ (all_4_11 = e0)
% 73.93/10.97    (2)   ~ (all_4_11 = e3)
% 73.93/10.97    (3)   ~ (all_4_11 = e4)
% 73.93/10.97    (4)  op(e2, e1) = all_4_17
% 73.93/10.97    (5)  all_6_7 = all_4_11
% 73.93/10.97    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 73.93/10.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 73.93/10.97    (7)  all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 73.93/10.97    (8)   ~ (all_4_17 = e3)
% 73.93/10.97    (9)  op(e2, all_4_11) = e3
% 73.93/10.97  
% 73.93/10.97  Begin of proof
% 73.93/10.97  | 
% 73.93/10.97  | BETA: splitting (7) gives:
% 73.93/10.97  | 
% 73.93/10.97  | Case 1:
% 73.93/10.97  | | 
% 73.93/10.97  | |   (10)  all_6_7 = e4
% 73.93/10.97  | | 
% 73.93/10.97  | | COMBINE_EQS: (5), (10) imply:
% 73.93/10.97  | |   (11)  all_4_11 = e4
% 73.93/10.97  | | 
% 73.93/10.97  | | SIMP: (11) implies:
% 73.93/10.97  | |   (12)  all_4_11 = e4
% 73.93/10.97  | | 
% 73.93/10.97  | | REDUCE: (3), (12) imply:
% 73.93/10.97  | |   (13)  $false
% 73.93/10.97  | | 
% 73.93/10.97  | | CLOSE: (13) is inconsistent.
% 73.93/10.97  | | 
% 73.93/10.97  | Case 2:
% 73.93/10.97  | | 
% 73.93/10.97  | |   (14)  all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 73.93/10.97  | | 
% 73.93/10.97  | | BETA: splitting (14) gives:
% 73.93/10.97  | | 
% 73.93/10.97  | | Case 1:
% 73.93/10.97  | | | 
% 73.93/10.97  | | |   (15)  all_6_7 = e1
% 73.93/10.97  | | | 
% 73.93/10.97  | | | COMBINE_EQS: (5), (15) imply:
% 73.93/10.97  | | |   (16)  all_4_11 = e1
% 73.93/10.97  | | | 
% 73.93/10.97  | | | REF_CLOSE: (4), (6), (8), (9), (16) are inconsistent by sub-proof #8.
% 73.93/10.97  | | | 
% 73.93/10.97  | | Case 2:
% 73.93/10.97  | | | 
% 73.93/10.97  | | |   (17)  all_6_7 = e3 | all_6_7 = e0
% 73.93/10.97  | | | 
% 73.93/10.97  | | | REF_CLOSE: (1), (2), (5), (17) are inconsistent by sub-proof #92.
% 73.93/10.97  | | | 
% 73.93/10.97  | | End of split
% 73.93/10.97  | | 
% 73.93/10.97  | End of split
% 73.93/10.97  | 
% 73.93/10.97  End of proof
% 73.93/10.97  
% 73.93/10.97  Sub-proof #8 shows that the following formulas are inconsistent:
% 73.93/10.97  ----------------------------------------------------------------
% 73.93/10.97    (1)  op(e2, e1) = all_4_17
% 73.93/10.97    (2)  all_4_11 = e1
% 73.93/10.97    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 73.93/10.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 73.93/10.97    (4)   ~ (all_4_17 = e3)
% 73.93/10.97    (5)  op(e2, all_4_11) = e3
% 73.93/10.97  
% 73.93/10.97  Begin of proof
% 73.93/10.97  | 
% 73.93/10.97  | SIMP: (2) implies:
% 73.93/10.97  |   (6)  all_4_11 = e1
% 73.93/10.97  | 
% 73.93/10.97  | REDUCE: (5), (6) imply:
% 73.93/10.97  |   (7)  op(e2, e1) = e3
% 73.93/10.97  | 
% 73.93/10.97  | GROUND_INST: instantiating (3) with all_4_17, e3, e1, e2, simplifying with
% 73.93/10.97  |              (1), (7) gives:
% 73.93/10.97  |   (8)  all_4_17 = e3
% 73.93/10.97  | 
% 73.93/10.97  | REDUCE: (4), (8) imply:
% 73.93/10.97  |   (9)  $false
% 73.93/10.97  | 
% 73.93/10.97  | CLOSE: (9) is inconsistent.
% 73.93/10.97  | 
% 73.93/10.97  End of proof
% 73.93/10.97  
% 73.93/10.97  Sub-proof #9 shows that the following formulas are inconsistent:
% 73.93/10.97  ----------------------------------------------------------------
% 73.93/10.97    (1)  all_6_7 = all_4_11
% 73.93/10.97    (2)  all_6_7 = e2
% 73.93/10.97    (3)   ~ (all_4_11 = e2)
% 73.93/10.97  
% 73.93/10.97  Begin of proof
% 73.93/10.97  | 
% 73.93/10.97  | COMBINE_EQS: (1), (2) imply:
% 73.93/10.97  |   (4)  all_4_11 = e2
% 73.93/10.97  | 
% 73.93/10.97  | SIMP: (4) implies:
% 73.93/10.97  |   (5)  all_4_11 = e2
% 73.93/10.97  | 
% 73.93/10.97  | REDUCE: (3), (5) imply:
% 73.93/10.97  |   (6)  $false
% 73.93/10.97  | 
% 73.93/10.97  | CLOSE: (6) is inconsistent.
% 73.93/10.97  | 
% 73.93/10.97  End of proof
% 73.93/10.97  
% 73.93/10.97  Sub-proof #10 shows that the following formulas are inconsistent:
% 73.93/10.97  ----------------------------------------------------------------
% 73.93/10.97    (1)  all_10_14 = e0
% 73.93/10.97    (2)  all_10_15 = e4
% 73.93/10.97    (3)   ~ (e2 = e0)
% 73.93/10.97    (4)  all_10_19 = all_4_23
% 73.93/10.97    (5)  all_10_14 = e2 | all_10_15 = e2 | all_10_19 = e2
% 73.93/10.97    (6)   ~ (e4 = e2)
% 73.93/10.97    (7)   ~ (all_4_23 = e2)
% 73.93/10.97  
% 73.93/10.97  Begin of proof
% 73.93/10.97  | 
% 73.93/10.97  | BETA: splitting (5) gives:
% 73.93/10.97  | 
% 73.93/10.97  | Case 1:
% 73.93/10.97  | | 
% 73.93/10.97  | |   (8)  all_10_14 = e2
% 73.93/10.97  | | 
% 73.93/10.97  | | COMBINE_EQS: (1), (8) imply:
% 73.93/10.97  | |   (9)  e2 = e0
% 73.93/10.97  | | 
% 73.93/10.97  | | REDUCE: (3), (9) imply:
% 73.93/10.97  | |   (10)  $false
% 73.93/10.97  | | 
% 73.93/10.97  | | CLOSE: (10) is inconsistent.
% 73.93/10.97  | | 
% 73.93/10.97  | Case 2:
% 73.93/10.97  | | 
% 73.93/10.97  | |   (11)  all_10_15 = e2 | all_10_19 = e2
% 73.93/10.97  | | 
% 73.93/10.97  | | REF_CLOSE: (2), (4), (6), (7), (11) are inconsistent by sub-proof #60.
% 73.93/10.97  | | 
% 73.93/10.97  | End of split
% 73.93/10.97  | 
% 73.93/10.97  End of proof
% 73.93/10.97  
% 73.93/10.97  Sub-proof #11 shows that the following formulas are inconsistent:
% 73.93/10.97  ----------------------------------------------------------------
% 73.93/10.97    (1)   ~ (all_4_3 = e4)
% 73.93/10.97    (2)  all_6_19 = all_4_23
% 73.93/10.97    (3)  all_10_12 = all_4_3
% 73.93/10.97    (4)   ~ (all_4_23 = e1)
% 73.93/10.97    (5)   ~ (all_4_3 = all_4_23)
% 73.93/10.97    (6)   ~ (all_4_3 = e0)
% 73.93/10.97    (7)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e1 | all_6_15 = e0
% 73.93/10.97    (8)  all_6_15 = all_4_3
% 73.93/10.97    (9)   ~ (all_10_12 = e1)
% 73.93/10.97    (10)  all_6_19 = e3 | all_6_19 = e1 | all_6_19 = e0
% 73.93/10.97    (11)   ~ (all_4_23 = e0)
% 73.93/10.97  
% 73.93/10.97  Begin of proof
% 73.93/10.97  | 
% 73.93/10.97  | REDUCE: (3), (9) imply:
% 73.93/10.97  |   (12)   ~ (all_4_3 = e1)
% 73.93/10.97  | 
% 73.93/10.97  | BETA: splitting (7) gives:
% 73.93/10.97  | 
% 73.93/10.97  | Case 1:
% 73.93/10.97  | | 
% 73.93/10.97  | |   (13)  all_6_15 = e4
% 73.93/10.97  | | 
% 73.93/10.97  | | REF_CLOSE: (1), (8), (13) are inconsistent by sub-proof #107.
% 73.93/10.97  | | 
% 73.93/10.97  | Case 2:
% 73.93/10.97  | | 
% 73.93/10.97  | |   (14)  all_6_15 = e3 | all_6_15 = e1 | all_6_15 = e0
% 73.93/10.97  | | 
% 73.93/10.97  | | BETA: splitting (10) gives:
% 73.93/10.97  | | 
% 73.93/10.97  | | Case 1:
% 73.93/10.97  | | | 
% 73.93/10.97  | | |   (15)  all_6_19 = e1
% 73.93/10.97  | | | 
% 73.93/10.97  | | | COMBINE_EQS: (2), (15) imply:
% 73.93/10.97  | | |   (16)  all_4_23 = e1
% 73.93/10.97  | | | 
% 73.93/10.97  | | | REDUCE: (4), (16) imply:
% 73.93/10.97  | | |   (17)  $false
% 73.93/10.97  | | | 
% 73.93/10.97  | | | CLOSE: (17) is inconsistent.
% 73.93/10.97  | | | 
% 73.93/10.97  | | Case 2:
% 73.93/10.97  | | | 
% 73.93/10.97  | | |   (18)  all_6_19 = e3 | all_6_19 = e0
% 73.93/10.97  | | | 
% 73.93/10.97  | | | BETA: splitting (14) gives:
% 73.93/10.97  | | | 
% 73.93/10.97  | | | Case 1:
% 73.93/10.97  | | | | 
% 73.93/10.97  | | | |   (19)  all_6_15 = e1
% 73.93/10.97  | | | | 
% 73.93/10.97  | | | | COMBINE_EQS: (8), (19) imply:
% 73.93/10.97  | | | |   (20)  all_4_3 = e1
% 73.93/10.97  | | | | 
% 73.93/10.97  | | | | SIMP: (20) implies:
% 73.93/10.97  | | | |   (21)  all_4_3 = e1
% 73.93/10.97  | | | | 
% 73.93/10.97  | | | | REDUCE: (12), (21) imply:
% 73.93/10.97  | | | |   (22)  $false
% 73.93/10.97  | | | | 
% 73.93/10.97  | | | | CLOSE: (22) is inconsistent.
% 73.93/10.97  | | | | 
% 73.93/10.97  | | | Case 2:
% 73.93/10.97  | | | | 
% 73.93/10.97  | | | |   (23)  all_6_15 = e3 | all_6_15 = e0
% 73.93/10.97  | | | | 
% 73.93/10.97  | | | | REF_CLOSE: (2), (5), (6), (8), (11), (18), (23) are inconsistent by
% 73.93/10.97  | | | |            sub-proof #94.
% 73.93/10.97  | | | | 
% 73.93/10.97  | | | End of split
% 73.93/10.97  | | | 
% 73.93/10.97  | | End of split
% 73.93/10.97  | | 
% 73.93/10.97  | End of split
% 73.93/10.97  | 
% 73.93/10.97  End of proof
% 73.93/10.97  
% 73.93/10.97  Sub-proof #12 shows that the following formulas are inconsistent:
% 73.93/10.97  ----------------------------------------------------------------
% 73.93/10.97    (1)  all_10_8 = e3
% 73.93/10.97    (2)   ~ (e3 = e1)
% 73.93/10.97    (3)   ~ (all_4_22 = e1)
% 73.93/10.97    (4)   ~ (e2 = e1)
% 73.93/10.97    (5)  all_10_11 = e2
% 73.93/10.97    (6)  all_10_8 = e1 | all_10_11 = e1 | all_10_18 = e1
% 73.93/10.97    (7)  all_10_18 = all_4_22
% 73.93/10.97  
% 73.93/10.97  Begin of proof
% 73.93/10.97  | 
% 73.93/10.97  | BETA: splitting (6) gives:
% 73.93/10.97  | 
% 73.93/10.97  | Case 1:
% 73.93/10.97  | | 
% 73.93/10.97  | |   (8)  all_10_8 = e1
% 73.93/10.97  | | 
% 73.93/10.97  | | COMBINE_EQS: (1), (8) imply:
% 73.93/10.97  | |   (9)  e3 = e1
% 73.93/10.97  | | 
% 73.93/10.97  | | REDUCE: (2), (9) imply:
% 73.93/10.97  | |   (10)  $false
% 73.93/10.97  | | 
% 73.93/10.97  | | CLOSE: (10) is inconsistent.
% 73.93/10.97  | | 
% 73.93/10.97  | Case 2:
% 73.93/10.97  | | 
% 73.93/10.97  | |   (11)  all_10_11 = e1 | all_10_18 = e1
% 73.93/10.97  | | 
% 73.93/10.97  | | BETA: splitting (11) gives:
% 73.93/10.97  | | 
% 73.93/10.97  | | Case 1:
% 73.93/10.97  | | | 
% 73.93/10.97  | | |   (12)  all_10_11 = e1
% 73.93/10.97  | | | 
% 73.93/10.97  | | | COMBINE_EQS: (5), (12) imply:
% 73.93/10.97  | | |   (13)  e2 = e1
% 73.93/10.97  | | | 
% 73.93/10.97  | | | REDUCE: (4), (13) imply:
% 73.93/10.97  | | |   (14)  $false
% 73.93/10.97  | | | 
% 73.93/10.97  | | | CLOSE: (14) is inconsistent.
% 73.93/10.97  | | | 
% 73.93/10.97  | | Case 2:
% 73.93/10.97  | | | 
% 73.93/10.97  | | |   (15)  all_10_18 = e1
% 73.93/10.97  | | | 
% 73.93/10.97  | | | COMBINE_EQS: (7), (15) imply:
% 73.93/10.97  | | |   (16)  all_4_22 = e1
% 73.93/10.97  | | | 
% 73.93/10.97  | | | REDUCE: (3), (16) imply:
% 73.93/10.97  | | |   (17)  $false
% 73.93/10.97  | | | 
% 73.93/10.97  | | | CLOSE: (17) is inconsistent.
% 73.93/10.97  | | | 
% 73.93/10.97  | | End of split
% 73.93/10.97  | | 
% 73.93/10.97  | End of split
% 73.93/10.97  | 
% 73.93/10.97  End of proof
% 73.93/10.97  
% 73.93/10.97  Sub-proof #13 shows that the following formulas are inconsistent:
% 73.93/10.97  ----------------------------------------------------------------
% 73.93/10.97    (1)   ~ (all_4_19 = e4)
% 73.93/10.97    (2)   ~ (all_4_1 = e0)
% 73.93/10.97    (3)  all_10_1 = e4 | all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 |
% 73.93/10.97         all_10_21 = e4
% 73.93/10.97    (4)   ~ (all_4_20 = all_4_22)
% 73.93/10.97    (5)   ~ (all_4_10 = e3)
% 73.93/10.97    (6)   ~ (e3 = e2)
% 73.93/10.97    (7)  op(e0, e4) = all_4_4
% 73.93/10.97    (8)  all_10_4 = all_4_10
% 73.93/10.97    (9)  all_10_22 = e2
% 73.93/10.97    (10)   ~ (all_4_20 = e3)
% 73.93/10.97    (11)  all_10_1 = all_4_5
% 73.93/10.97    (12)   ~ (all_4_4 = e2)
% 73.93/10.97    (13)  all_10_24 = e1
% 73.93/10.97    (14)   ~ (e2 = e0)
% 73.93/10.97    (15)   ~ (all_4_2 = e3)
% 73.93/10.97    (16)  op(e3, e4) = all_4_1
% 73.93/10.97    (17)  op(e4, all_4_15) = all_8_40
% 73.93/10.97    (18)   ~ (e3 = e1)
% 73.93/10.97    (19)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 73.93/10.97    (20)  all_10_16 = all_4_20
% 73.93/10.97    (21)   ~ (e4 = e0)
% 73.93/10.97    (22)  all_10_3 = e0
% 73.93/10.97    (23)   ~ (all_4_4 = all_4_9)
% 73.93/10.97    (24)  all_10_23 = all_4_19
% 73.93/10.97    (25)  all_10_21 = all_4_9
% 73.93/10.97    (26)   ~ (all_4_10 = e0)
% 73.93/10.97    (27)   ~ (all_4_22 = e1)
% 73.93/10.97    (28)  all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 73.93/10.97          all_10_23 = e3
% 73.93/10.97    (29)  all_10_20 = all_4_4
% 73.93/10.97    (30)  all_10_0 = e3 | all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 73.93/10.97          all_10_16 = e3
% 73.93/10.97    (31)  op(e0, all_4_4) = all_8_11
% 73.93/10.97    (32)   ~ (e4 = e3)
% 73.93/10.97    (33)  all_10_2 = all_4_1
% 73.93/10.97    (34)   ~ (all_4_5 = e0)
% 73.93/10.97    (35)   ~ (all_4_22 = e3)
% 73.93/10.97    (36)   ~ (all_4_15 = e2)
% 73.93/10.97    (37)  all_6_14 = all_4_22
% 73.93/10.97    (38)  all_10_9 = all_4_15
% 74.32/10.97    (39)  all_10_20 = e4 | all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 74.32/10.97          all_10_24 = e4
% 74.32/10.97    (40)  op(e0, all_4_22) = e2
% 74.32/10.98    (41)  all_10_0 = e3 | all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 74.32/10.98          all_10_20 = e3
% 74.32/10.98    (42)  op(e3, all_4_9) = all_8_23
% 74.32/10.98    (43)  all_10_12 = e1
% 74.32/10.98    (44)  op(e4, all_4_1) = e3
% 74.32/10.98    (45)   ~ (all_4_5 = all_4_10)
% 74.32/10.98    (46)  all_10_13 = e2
% 74.32/10.98    (47)   ~ (e4 = e2)
% 74.32/10.98    (48)  all_8_23 = e0 &  ~ (all_8_24 = e3)
% 74.32/10.98    (49)  all_10_6 = all_4_2
% 74.32/10.98    (50)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.32/10.98            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.32/10.98    (51)  all_6_2 = all_4_10
% 74.32/10.98    (52)   ~ (all_4_1 = all_4_4)
% 74.32/10.98    (53)   ~ (e4 = e1)
% 74.32/10.98    (54)   ~ (all_4_4 = e1)
% 74.32/10.98    (55)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.32/10.98    (56)  all_10_0 = e2
% 74.32/10.98    (57)  all_10_0 = e0 | all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 74.32/10.98          all_10_16 = e0
% 74.32/10.98    (58)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 74.32/10.98          all_10_22 = e1
% 74.32/10.98    (59)  all_10_7 = e1
% 74.32/10.98    (60)   ~ (all_4_1 = e2)
% 74.32/10.98    (61)  op(e4, e3) = all_4_5
% 74.32/10.98  
% 74.32/10.98  Begin of proof
% 74.32/10.98  | 
% 74.32/10.98  | ALPHA: (48) implies:
% 74.32/10.98  |   (62)  all_8_23 = e0
% 74.32/10.98  | 
% 74.32/10.98  | REDUCE: (42), (62) imply:
% 74.32/10.98  |   (63)  op(e3, all_4_9) = e0
% 74.32/10.98  | 
% 74.32/10.98  | BETA: splitting (39) gives:
% 74.32/10.98  | 
% 74.32/10.98  | Case 1:
% 74.32/10.98  | | 
% 74.32/10.98  | |   (64)  all_10_20 = e4
% 74.32/10.98  | | 
% 74.32/10.98  | | COMBINE_EQS: (29), (64) imply:
% 74.32/10.98  | |   (65)  all_4_4 = e4
% 74.32/10.98  | | 
% 74.32/10.98  | | SIMP: (65) implies:
% 74.32/10.98  | |   (66)  all_4_4 = e4
% 74.32/10.98  | | 
% 74.32/10.98  | | REDUCE: (52), (66) imply:
% 74.32/10.98  | |   (67)   ~ (all_4_1 = e4)
% 74.32/10.98  | | 
% 74.32/10.98  | | REDUCE: (23), (66) imply:
% 74.32/10.98  | |   (68)   ~ (all_4_9 = e4)
% 74.32/10.98  | | 
% 74.32/10.98  | | SIMP: (68) implies:
% 74.32/10.98  | |   (69)   ~ (all_4_9 = e4)
% 74.32/10.98  | | 
% 74.32/10.98  | | REDUCE: (31), (66) imply:
% 74.32/10.98  | |   (70)  op(e0, e4) = all_8_11
% 74.32/10.98  | | 
% 74.32/10.98  | | REDUCE: (7), (66) imply:
% 74.32/10.98  | |   (71)  op(e0, e4) = e4
% 74.32/10.98  | | 
% 74.32/10.98  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (10), (11), (14), (15), (17), (18),
% 74.32/10.98  | |            (19), (20), (21), (22), (25), (26), (27), (28), (30), (32), (33),
% 74.32/10.98  | |            (34), (35), (36), (37), (38), (40), (41), (43), (44), (45), (46),
% 74.32/10.98  | |            (47), (49), (50), (51), (53), (55), (56), (57), (58), (59), (60),
% 74.32/10.98  | |            (61), (64), (67), (69), (70), (71) are inconsistent by sub-proof
% 74.32/10.98  | |            #15.
% 74.32/10.98  | | 
% 74.32/10.98  | Case 2:
% 74.32/10.98  | | 
% 74.32/10.98  | |   (72)  all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 74.32/10.98  | | 
% 74.32/10.98  | | REF_CLOSE: (1), (2), (9), (13), (16), (24), (25), (47), (50), (53), (63),
% 74.32/10.98  | |            (72) are inconsistent by sub-proof #32.
% 74.32/10.98  | | 
% 74.32/10.98  | End of split
% 74.32/10.98  | 
% 74.32/10.98  End of proof
% 74.32/10.98  
% 74.32/10.98  Sub-proof #14 shows that the following formulas are inconsistent:
% 74.32/10.98  ----------------------------------------------------------------
% 74.32/10.98    (1)  all_8_17 = all_4_16
% 74.32/10.98    (2)   ~ (all_4_19 = e4)
% 74.32/10.98    (3)   ~ (all_4_1 = e0)
% 74.32/10.98    (4)  all_10_1 = e4 | all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 |
% 74.32/10.98         all_10_21 = e4
% 74.32/10.98    (5)   ~ (all_4_9 = e0)
% 74.32/10.98    (6)   ~ (all_4_20 = all_4_22)
% 74.32/10.98    (7)  (all_8_13 = e4 &  ~ (all_8_14 = e3)) | (all_8_17 = e2 &  ~ (all_8_18 =
% 74.32/10.98             e3))
% 74.32/10.98    (8)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.32/10.98    (9)   ~ (all_4_10 = e3)
% 74.32/10.98    (10)   ~ (e3 = e2)
% 74.32/10.98    (11)  op(e0, e4) = all_4_4
% 74.32/10.98    (12)  all_10_4 = all_4_10
% 74.32/10.98    (13)  all_10_22 = e2
% 74.32/10.98    (14)   ~ (all_4_16 = e2)
% 74.32/10.98    (15)   ~ (all_4_20 = e3)
% 74.32/10.98    (16)  all_10_1 = all_4_5
% 74.32/10.98    (17)   ~ (all_4_4 = e2)
% 74.32/10.98    (18)  all_10_24 = e1
% 74.32/10.98    (19)   ~ (e2 = e0)
% 74.32/10.98    (20)   ~ (all_4_2 = e3)
% 74.32/10.98    (21)  op(e4, all_4_15) = all_8_40
% 74.32/10.98    (22)   ~ (e3 = e1)
% 74.32/10.98    (23)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 74.32/10.98    (24)  all_10_16 = all_4_20
% 74.32/10.98    (25)   ~ (e4 = e0)
% 74.32/10.98    (26)  all_10_3 = e0
% 74.32/10.98    (27)   ~ (all_4_4 = all_4_9)
% 74.32/10.98    (28)  all_10_23 = all_4_19
% 74.32/10.98    (29)  all_10_21 = all_4_9
% 74.32/10.98    (30)   ~ (all_4_10 = e0)
% 74.32/10.98    (31)   ~ (all_4_22 = e1)
% 74.32/10.98    (32)   ~ (all_4_5 = e1)
% 74.32/10.98    (33)  all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 74.32/10.98          all_10_23 = e3
% 74.32/10.98    (34)  all_10_20 = all_4_4
% 74.32/10.98    (35)  all_10_0 = e3 | all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 74.32/10.98          all_10_16 = e3
% 74.32/10.98    (36)  op(e0, all_4_4) = all_8_11
% 74.32/10.98    (37)   ~ (e4 = e3)
% 74.32/10.98    (38)  all_10_2 = all_4_1
% 74.32/10.98    (39)   ~ (all_4_5 = e0)
% 74.32/10.98    (40)   ~ (all_4_22 = e3)
% 74.32/10.98    (41)   ~ (all_4_15 = e2)
% 74.32/10.98    (42)  all_10_1 = e3 | all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 |
% 74.32/10.98          all_10_21 = e3
% 74.32/10.98    (43)  all_6_14 = all_4_22
% 74.32/10.98    (44)  all_10_9 = all_4_15
% 74.32/10.98    (45)  all_10_20 = e4 | all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 74.32/10.98          all_10_24 = e4
% 74.32/10.98    (46)  op(e0, all_4_22) = e2
% 74.32/10.98    (47)  all_10_0 = e3 | all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 74.32/10.98          all_10_20 = e3
% 74.32/10.98    (48)  all_10_12 = e1
% 74.32/10.98    (49)  op(e4, all_4_1) = e3
% 74.32/10.98    (50)  all_6_1 = all_4_5
% 74.32/10.98    (51)   ~ (all_4_5 = all_4_10)
% 74.32/10.98    (52)  all_10_13 = e2
% 74.32/10.98    (53)   ~ (e4 = e2)
% 74.32/10.98    (54)  all_10_6 = all_4_2
% 74.32/10.98    (55)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.32/10.98            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.32/10.98    (56)  all_6_2 = all_4_10
% 74.32/10.98    (57)   ~ (all_4_1 = all_4_4)
% 74.32/10.98    (58)  op(e3, e3) = e0
% 74.32/10.98    (59)   ~ (e4 = e1)
% 74.32/10.98    (60)   ~ (all_4_4 = e1)
% 74.32/10.98    (61)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.32/10.98    (62)  all_10_0 = e2
% 74.32/10.98    (63)  all_10_0 = e0 | all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 74.32/10.98          all_10_16 = e0
% 74.32/10.98    (64)   ~ (all_4_5 = all_4_9)
% 74.32/10.98    (65)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 74.32/10.98          all_10_22 = e1
% 74.32/10.98    (66)  all_10_7 = e1
% 74.32/10.98    (67)   ~ (all_4_1 = e2)
% 74.32/10.98    (68)  op(e3, all_4_5) = all_8_13
% 74.32/10.98    (69)  op(e4, e3) = all_4_5
% 74.32/10.98  
% 74.32/10.98  Begin of proof
% 74.32/10.98  | 
% 74.32/10.98  | BETA: splitting (7) gives:
% 74.32/10.98  | 
% 74.32/10.98  | Case 1:
% 74.32/10.98  | | 
% 74.32/10.98  | |   (70)  all_8_13 = e4 &  ~ (all_8_14 = e3)
% 74.32/10.98  | | 
% 74.32/10.98  | | ALPHA: (70) implies:
% 74.32/10.98  | |   (71)  all_8_13 = e4
% 74.32/10.98  | | 
% 74.32/10.98  | | REDUCE: (68), (71) imply:
% 74.32/10.98  | |   (72)  op(e3, all_4_5) = e4
% 74.32/10.98  | | 
% 74.32/10.98  | | BETA: splitting (45) gives:
% 74.32/10.98  | | 
% 74.32/10.98  | | Case 1:
% 74.32/10.98  | | | 
% 74.32/10.98  | | |   (73)  all_10_20 = e4
% 74.32/10.98  | | | 
% 74.32/10.98  | | | COMBINE_EQS: (34), (73) imply:
% 74.32/10.98  | | |   (74)  all_4_4 = e4
% 74.32/10.98  | | | 
% 74.32/10.98  | | | SIMP: (74) implies:
% 74.32/10.98  | | |   (75)  all_4_4 = e4
% 74.32/10.98  | | | 
% 74.32/10.98  | | | REDUCE: (57), (75) imply:
% 74.32/10.98  | | |   (76)   ~ (all_4_1 = e4)
% 74.32/10.98  | | | 
% 74.32/10.98  | | | REDUCE: (27), (75) imply:
% 74.32/10.98  | | |   (77)   ~ (all_4_9 = e4)
% 74.32/10.98  | | | 
% 74.32/10.98  | | | SIMP: (77) implies:
% 74.32/10.98  | | |   (78)   ~ (all_4_9 = e4)
% 74.32/10.98  | | | 
% 74.32/10.98  | | | REDUCE: (36), (75) imply:
% 74.32/10.98  | | |   (79)  op(e0, e4) = all_8_11
% 74.32/10.98  | | | 
% 74.32/10.98  | | | REDUCE: (11), (75) imply:
% 74.32/10.98  | | |   (80)  op(e0, e4) = e4
% 74.32/10.98  | | | 
% 74.32/10.98  | | | REF_CLOSE: (3), (4), (6), (9), (10), (12), (15), (16), (19), (20), (21),
% 74.32/10.98  | | |            (22), (23), (24), (25), (26), (29), (30), (31), (33), (35),
% 74.32/10.98  | | |            (37), (38), (39), (40), (41), (43), (44), (46), (47), (48),
% 74.32/10.98  | | |            (49), (51), (52), (53), (54), (55), (56), (59), (61), (62),
% 74.32/10.98  | | |            (63), (65), (66), (67), (69), (73), (76), (78), (79), (80) are
% 74.32/10.98  | | |            inconsistent by sub-proof #15.
% 74.32/10.98  | | | 
% 74.32/10.98  | | Case 2:
% 74.32/10.98  | | | 
% 74.32/10.98  | | |   (81)  all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 74.32/10.98  | | | 
% 74.36/10.98  | | | REF_CLOSE: (2), (5), (8), (13), (16), (18), (28), (29), (32), (39), (42),
% 74.36/10.98  | | |            (50), (53), (55), (58), (59), (64), (72), (81) are inconsistent
% 74.36/10.98  | | |            by sub-proof #26.
% 74.36/10.98  | | | 
% 74.36/10.98  | | End of split
% 74.36/10.98  | | 
% 74.36/10.98  | Case 2:
% 74.36/10.98  | | 
% 74.36/10.98  | |   (82)  all_8_17 = e2 &  ~ (all_8_18 = e3)
% 74.36/10.98  | | 
% 74.36/10.98  | | REF_CLOSE: (1), (14), (82) are inconsistent by sub-proof #25.
% 74.36/10.98  | | 
% 74.36/10.98  | End of split
% 74.36/10.98  | 
% 74.36/10.98  End of proof
% 74.36/10.98  
% 74.36/10.98  Sub-proof #15 shows that the following formulas are inconsistent:
% 74.36/10.98  ----------------------------------------------------------------
% 74.36/10.98    (1)   ~ (all_4_1 = e0)
% 74.36/10.98    (2)  all_10_1 = e4 | all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 |
% 74.36/10.98         all_10_21 = e4
% 74.36/10.98    (3)  op(e0, e4) = all_8_11
% 74.36/10.98    (4)   ~ (all_4_20 = all_4_22)
% 74.36/10.98    (5)   ~ (all_4_10 = e3)
% 74.36/10.98    (6)   ~ (e3 = e2)
% 74.36/10.99    (7)  all_10_4 = all_4_10
% 74.36/10.99    (8)  all_10_20 = e4
% 74.36/10.99    (9)   ~ (all_4_20 = e3)
% 74.36/10.99    (10)  all_10_1 = all_4_5
% 74.36/10.99    (11)   ~ (e2 = e0)
% 74.36/10.99    (12)   ~ (all_4_2 = e3)
% 74.36/10.99    (13)  op(e4, all_4_15) = all_8_40
% 74.36/10.99    (14)   ~ (e3 = e1)
% 74.36/10.99    (15)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 74.36/10.99    (16)  all_10_16 = all_4_20
% 74.36/10.99    (17)   ~ (e4 = e0)
% 74.36/10.99    (18)  all_10_3 = e0
% 74.36/10.99    (19)  all_10_21 = all_4_9
% 74.36/10.99    (20)   ~ (all_4_10 = e0)
% 74.36/10.99    (21)   ~ (all_4_22 = e1)
% 74.36/10.99    (22)  all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 74.36/10.99          all_10_23 = e3
% 74.36/10.99    (23)  all_10_0 = e3 | all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 74.36/10.99          all_10_16 = e3
% 74.36/10.99    (24)   ~ (e4 = e3)
% 74.36/10.99    (25)  all_10_2 = all_4_1
% 74.36/10.99    (26)   ~ (all_4_5 = e0)
% 74.36/10.99    (27)   ~ (all_4_22 = e3)
% 74.36/10.99    (28)   ~ (all_4_15 = e2)
% 74.36/10.99    (29)  op(e0, e4) = e4
% 74.36/10.99    (30)  all_6_14 = all_4_22
% 74.36/10.99    (31)  all_10_9 = all_4_15
% 74.36/10.99    (32)  op(e0, all_4_22) = e2
% 74.36/10.99    (33)   ~ (all_4_9 = e4)
% 74.36/10.99    (34)  all_10_0 = e3 | all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 74.36/10.99          all_10_20 = e3
% 74.36/10.99    (35)  all_10_12 = e1
% 74.36/10.99    (36)  op(e4, all_4_1) = e3
% 74.36/10.99    (37)   ~ (all_4_5 = all_4_10)
% 74.36/10.99    (38)  all_10_13 = e2
% 74.36/10.99    (39)   ~ (e4 = e2)
% 74.36/10.99    (40)  all_10_6 = all_4_2
% 74.36/10.99    (41)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.36/10.99            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.36/10.99    (42)  all_6_2 = all_4_10
% 74.36/10.99    (43)   ~ (e4 = e1)
% 74.36/10.99    (44)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.36/10.99    (45)  all_10_0 = e2
% 74.36/10.99    (46)  all_10_0 = e0 | all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 74.36/10.99          all_10_16 = e0
% 74.36/10.99    (47)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 74.36/10.99          all_10_22 = e1
% 74.36/10.99    (48)  all_10_7 = e1
% 74.36/10.99    (49)   ~ (all_4_1 = e2)
% 74.36/10.99    (50)  op(e4, e3) = all_4_5
% 74.36/10.99    (51)   ~ (all_4_1 = e4)
% 74.36/10.99  
% 74.36/10.99  Begin of proof
% 74.36/10.99  | 
% 74.36/10.99  | BETA: splitting (34) gives:
% 74.36/10.99  | 
% 74.36/10.99  | Case 1:
% 74.36/10.99  | | 
% 74.36/10.99  | |   (52)  all_10_0 = e3
% 74.36/10.99  | | 
% 74.36/10.99  | | REF_CLOSE: (6), (45), (52) are inconsistent by sub-proof #104.
% 74.36/10.99  | | 
% 74.36/10.99  | Case 2:
% 74.36/10.99  | | 
% 74.36/10.99  | |   (53)  all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3
% 74.36/10.99  | | 
% 74.36/10.99  | | BETA: splitting (53) gives:
% 74.36/10.99  | | 
% 74.36/10.99  | | Case 1:
% 74.36/10.99  | | | 
% 74.36/10.99  | | |   (54)  all_10_2 = e3
% 74.36/10.99  | | | 
% 74.36/10.99  | | | COMBINE_EQS: (25), (54) imply:
% 74.36/10.99  | | |   (55)  all_4_1 = e3
% 74.36/10.99  | | | 
% 74.36/10.99  | | | SIMP: (55) implies:
% 74.36/10.99  | | |   (56)  all_4_1 = e3
% 74.36/10.99  | | | 
% 74.36/10.99  | | | REDUCE: (51), (56) imply:
% 74.36/10.99  | | |   (57)   ~ (e4 = e3)
% 74.36/10.99  | | | 
% 74.36/10.99  | | | REDUCE: (1), (56) imply:
% 74.36/10.99  | | |   (58)   ~ (e3 = e0)
% 74.36/10.99  | | | 
% 74.36/10.99  | | | REDUCE: (36), (56) imply:
% 74.36/10.99  | | |   (59)  op(e4, e3) = e3
% 74.36/10.99  | | | 
% 74.36/10.99  | | | BETA: splitting (2) gives:
% 74.36/10.99  | | | 
% 74.36/10.99  | | | Case 1:
% 74.36/10.99  | | | | 
% 74.36/10.99  | | | |   (60)  all_10_1 = e4
% 74.36/10.99  | | | | 
% 74.36/10.99  | | | | COMBINE_EQS: (10), (60) imply:
% 74.36/10.99  | | | |   (61)  all_4_5 = e4
% 74.36/10.99  | | | | 
% 74.36/10.99  | | | | REDUCE: (37), (61) imply:
% 74.36/10.99  | | | |   (62)   ~ (all_4_10 = e4)
% 74.36/10.99  | | | | 
% 74.36/10.99  | | | | SIMP: (62) implies:
% 74.36/10.99  | | | |   (63)   ~ (all_4_10 = e4)
% 74.36/10.99  | | | | 
% 74.36/10.99  | | | | REDUCE: (50), (61) imply:
% 74.36/10.99  | | | |   (64)  op(e4, e3) = e4
% 74.36/10.99  | | | | 
% 74.36/10.99  | | | | BETA: splitting (23) gives:
% 74.36/10.99  | | | | 
% 74.36/10.99  | | | | Case 1:
% 74.36/10.99  | | | | | 
% 74.36/10.99  | | | | |   (65)  all_10_0 = e3
% 74.36/10.99  | | | | | 
% 74.36/10.99  | | | | | REF_CLOSE: (6), (45), (65) are inconsistent by sub-proof #104.
% 74.36/10.99  | | | | | 
% 74.36/10.99  | | | | Case 2:
% 74.36/10.99  | | | | | 
% 74.36/10.99  | | | | |   (66)  all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3
% 74.36/10.99  | | | | | 
% 74.36/10.99  | | | | | BETA: splitting (47) gives:
% 74.36/10.99  | | | | | 
% 74.36/10.99  | | | | | Case 1:
% 74.36/10.99  | | | | | | 
% 74.36/10.99  | | | | | |   (67)  all_10_4 = e1
% 74.36/10.99  | | | | | | 
% 74.36/10.99  | | | | | | COMBINE_EQS: (7), (67) imply:
% 74.36/10.99  | | | | | |   (68)  all_4_10 = e1
% 74.36/10.99  | | | | | | 
% 74.36/10.99  | | | | | | REDUCE: (5), (68) imply:
% 74.36/10.99  | | | | | |   (69)   ~ (e3 = e1)
% 74.36/10.99  | | | | | | 
% 74.36/10.99  | | | | | | REDUCE: (20), (68) imply:
% 74.36/10.99  | | | | | |   (70)   ~ (e1 = e0)
% 74.36/10.99  | | | | | | 
% 74.36/10.99  | | | | | | BETA: splitting (66) gives:
% 74.36/10.99  | | | | | | 
% 74.36/10.99  | | | | | | Case 1:
% 74.36/10.99  | | | | | | | 
% 74.36/10.99  | | | | | | |   (71)  all_10_1 = e3
% 74.36/10.99  | | | | | | | 
% 74.36/10.99  | | | | | | | COMBINE_EQS: (60), (71) imply:
% 74.36/10.99  | | | | | | |   (72)  e4 = e3
% 74.36/10.99  | | | | | | | 
% 74.36/10.99  | | | | | | | REDUCE: (24), (72) imply:
% 74.36/10.99  | | | | | | |   (73)  $false
% 74.36/10.99  | | | | | | | 
% 74.36/10.99  | | | | | | | CLOSE: (73) is inconsistent.
% 74.36/10.99  | | | | | | | 
% 74.36/10.99  | | | | | | Case 2:
% 74.36/10.99  | | | | | | | 
% 74.36/10.99  | | | | | | |   (74)  all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3
% 74.36/10.99  | | | | | | | 
% 74.36/10.99  | | | | | | | BETA: splitting (74) gives:
% 74.36/10.99  | | | | | | | 
% 74.36/10.99  | | | | | | | Case 1:
% 74.36/10.99  | | | | | | | | 
% 74.36/10.99  | | | | | | | |   (75)  all_10_4 = e3
% 74.36/10.99  | | | | | | | | 
% 74.36/10.99  | | | | | | | | REF_CLOSE: (14), (67), (75) are inconsistent by sub-proof #31.
% 74.36/10.99  | | | | | | | | 
% 74.36/10.99  | | | | | | | Case 2:
% 74.36/10.99  | | | | | | | | 
% 74.36/10.99  | | | | | | | |   (76)  all_10_9 = e3 | all_10_16 = e3
% 74.36/10.99  | | | | | | | | 
% 74.36/10.99  | | | | | | | | BETA: splitting (22) gives:
% 74.36/10.99  | | | | | | | | 
% 74.36/10.99  | | | | | | | | Case 1:
% 74.36/10.99  | | | | | | | | | 
% 74.36/10.99  | | | | | | | | |   (77)  all_10_9 = e3
% 74.36/10.99  | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | COMBINE_EQS: (31), (77) imply:
% 74.36/10.99  | | | | | | | | |   (78)  all_4_15 = e3
% 74.36/10.99  | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | REDUCE: (13), (78) imply:
% 74.36/10.99  | | | | | | | | |   (79)  op(e4, e3) = all_8_40
% 74.36/10.99  | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | BETA: splitting (46) gives:
% 74.36/10.99  | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | Case 1:
% 74.36/10.99  | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | |   (80)  all_10_0 = e0
% 74.36/10.99  | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | COMBINE_EQS: (45), (80) imply:
% 74.36/10.99  | | | | | | | | | |   (81)  e2 = e0
% 74.36/10.99  | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | REDUCE: (11), (81) imply:
% 74.36/10.99  | | | | | | | | | |   (82)  $false
% 74.36/10.99  | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | CLOSE: (82) is inconsistent.
% 74.36/10.99  | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | Case 2:
% 74.36/10.99  | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | |   (83)  all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 74.36/10.99  | | | | | | | | | |         all_10_16 = e0
% 74.36/10.99  | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | BETA: splitting (83) gives:
% 74.36/10.99  | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | Case 1:
% 74.36/10.99  | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | |   (84)  all_10_1 = e0
% 74.36/10.99  | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | COMBINE_EQS: (60), (84) imply:
% 74.36/10.99  | | | | | | | | | | |   (85)  e4 = e0
% 74.36/10.99  | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | REDUCE: (17), (85) imply:
% 74.36/10.99  | | | | | | | | | | |   (86)  $false
% 74.36/10.99  | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | CLOSE: (86) is inconsistent.
% 74.36/10.99  | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | Case 2:
% 74.36/10.99  | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | |   (87)  all_10_4 = e0 | all_10_9 = e0 | all_10_16 = e0
% 74.36/10.99  | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | BETA: splitting (87) gives:
% 74.36/10.99  | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | Case 1:
% 74.36/10.99  | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | |   (88)  all_10_4 = e0
% 74.36/10.99  | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | COMBINE_EQS: (67), (88) imply:
% 74.36/10.99  | | | | | | | | | | | |   (89)  e1 = e0
% 74.36/10.99  | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | REDUCE: (70), (89) imply:
% 74.36/10.99  | | | | | | | | | | | |   (90)  $false
% 74.36/10.99  | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | CLOSE: (90) is inconsistent.
% 74.36/10.99  | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | Case 2:
% 74.36/10.99  | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | |   (91)  all_10_9 = e0 | all_10_16 = e0
% 74.36/10.99  | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | BETA: splitting (91) gives:
% 74.36/10.99  | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | Case 1:
% 74.36/10.99  | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | |   (92)  all_10_9 = e0
% 74.36/10.99  | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | COMBINE_EQS: (77), (92) imply:
% 74.36/10.99  | | | | | | | | | | | | |   (93)  e3 = e0
% 74.36/10.99  | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | REDUCE: (58), (93) imply:
% 74.36/10.99  | | | | | | | | | | | | |   (94)  $false
% 74.36/10.99  | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | CLOSE: (94) is inconsistent.
% 74.36/10.99  | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | Case 2:
% 74.36/10.99  | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | |   (95)  all_10_16 = e0
% 74.36/10.99  | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | COMBINE_EQS: (16), (95) imply:
% 74.36/10.99  | | | | | | | | | | | | |   (96)  all_4_20 = e0
% 74.36/10.99  | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | REDUCE: (4), (96) imply:
% 74.36/10.99  | | | | | | | | | | | | |   (97)   ~ (all_4_22 = e0)
% 74.36/10.99  | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | SIMP: (97) implies:
% 74.36/10.99  | | | | | | | | | | | | |   (98)   ~ (all_4_22 = e0)
% 74.36/10.99  | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | BETA: splitting (15) gives:
% 74.36/10.99  | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | Case 1:
% 74.36/10.99  | | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | |   (99)  all_6_14 = e4
% 74.36/10.99  | | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | | COMBINE_EQS: (30), (99) imply:
% 74.36/10.99  | | | | | | | | | | | | | |   (100)  all_4_22 = e4
% 74.36/10.99  | | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | | SIMP: (100) implies:
% 74.36/10.99  | | | | | | | | | | | | | |   (101)  all_4_22 = e4
% 74.36/10.99  | | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | | REDUCE: (32), (101) imply:
% 74.36/10.99  | | | | | | | | | | | | | |   (102)  op(e0, e4) = e2
% 74.36/10.99  | | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | | GROUND_INST: instantiating (41) with e4, all_8_11, e4, e0,
% 74.36/10.99  | | | | | | | | | | | | | |              simplifying with (3), (29) gives:
% 74.36/10.99  | | | | | | | | | | | | | |   (103)  all_8_11 = e4
% 74.36/10.99  | | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | | GROUND_INST: instantiating (41) with e2, all_8_11, e4, e0,
% 74.36/10.99  | | | | | | | | | | | | | |              simplifying with (3), (102) gives:
% 74.36/10.99  | | | | | | | | | | | | | |   (104)  all_8_11 = e2
% 74.36/10.99  | | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | | GROUND_INST: instantiating (41) with e4, all_8_40, e3, e4,
% 74.36/10.99  | | | | | | | | | | | | | |              simplifying with (64), (79) gives:
% 74.36/10.99  | | | | | | | | | | | | | |   (105)  all_8_40 = e4
% 74.36/10.99  | | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | | GROUND_INST: instantiating (41) with e3, all_8_40, e3, e4,
% 74.36/10.99  | | | | | | | | | | | | | |              simplifying with (59), (79) gives:
% 74.36/10.99  | | | | | | | | | | | | | |   (106)  all_8_40 = e3
% 74.36/10.99  | | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | | COMBINE_EQS: (103), (104) imply:
% 74.36/10.99  | | | | | | | | | | | | | |   (107)  e4 = e2
% 74.36/10.99  | | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | | SIMP: (107) implies:
% 74.36/10.99  | | | | | | | | | | | | | |   (108)  e4 = e2
% 74.36/10.99  | | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | | COMBINE_EQS: (105), (106) imply:
% 74.36/10.99  | | | | | | | | | | | | | |   (109)  e4 = e3
% 74.36/10.99  | | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | | REF_CLOSE: (6), (108), (109) are inconsistent by sub-proof
% 74.36/10.99  | | | | | | | | | | | | | |            #69.
% 74.36/10.99  | | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | Case 2:
% 74.36/10.99  | | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | |   (110)  all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 74.36/10.99  | | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | | REF_CLOSE: (21), (27), (30), (98), (110) are inconsistent by
% 74.36/10.99  | | | | | | | | | | | | | |            sub-proof #48.
% 74.36/10.99  | | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | | End of split
% 74.36/10.99  | | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | | End of split
% 74.36/10.99  | | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | | End of split
% 74.36/10.99  | | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | | End of split
% 74.36/10.99  | | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | End of split
% 74.36/10.99  | | | | | | | | | 
% 74.36/10.99  | | | | | | | | Case 2:
% 74.36/10.99  | | | | | | | | | 
% 74.36/10.99  | | | | | | | | |   (111)   ~ (all_10_9 = e3)
% 74.36/10.99  | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | REDUCE: (31), (111) imply:
% 74.36/10.99  | | | | | | | | |   (112)   ~ (all_4_15 = e3)
% 74.36/10.99  | | | | | | | | | 
% 74.36/10.99  | | | | | | | | | REF_CLOSE: (9), (16), (31), (76), (112) are inconsistent by
% 74.36/10.99  | | | | | | | | |            sub-proof #63.
% 74.36/10.99  | | | | | | | | | 
% 74.36/10.99  | | | | | | | | End of split
% 74.36/10.99  | | | | | | | | 
% 74.36/10.99  | | | | | | | End of split
% 74.36/10.99  | | | | | | | 
% 74.36/10.99  | | | | | | End of split
% 74.36/10.99  | | | | | | 
% 74.36/10.99  | | | | | Case 2:
% 74.36/10.99  | | | | | | 
% 74.36/10.99  | | | | | |   (113)   ~ (all_10_4 = e1)
% 74.36/10.99  | | | | | | 
% 74.36/10.99  | | | | | | REDUCE: (7), (113) imply:
% 74.36/10.99  | | | | | |   (114)   ~ (all_4_10 = e1)
% 74.36/10.99  | | | | | | 
% 74.36/10.99  | | | | | | REF_CLOSE: (5), (20), (42), (44), (63), (114) are inconsistent by
% 74.36/10.99  | | | | | |            sub-proof #161.
% 74.36/10.99  | | | | | | 
% 74.36/10.99  | | | | | End of split
% 74.36/10.99  | | | | | 
% 74.36/10.99  | | | | End of split
% 74.36/10.99  | | | | 
% 74.36/10.99  | | | Case 2:
% 74.36/10.99  | | | | 
% 74.36/10.99  | | | |   (115)  all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 | all_10_21 = e4
% 74.36/10.99  | | | | 
% 74.36/10.99  | | | | REF_CLOSE: (17), (18), (19), (33), (38), (39), (43), (48), (115) are
% 74.36/10.99  | | | |            inconsistent by sub-proof #28.
% 74.36/10.99  | | | | 
% 74.36/10.99  | | | End of split
% 74.36/10.99  | | | 
% 74.36/10.99  | | Case 2:
% 74.36/10.99  | | | 
% 74.36/10.99  | | |   (116)  all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3
% 74.36/10.99  | | | 
% 74.36/10.99  | | | REF_CLOSE: (8), (12), (14), (24), (35), (40), (116) are inconsistent by
% 74.36/10.99  | | |            sub-proof #98.
% 74.36/10.99  | | | 
% 74.36/10.99  | | End of split
% 74.36/10.99  | | 
% 74.36/10.99  | End of split
% 74.36/10.99  | 
% 74.36/10.99  End of proof
% 74.36/10.99  
% 74.36/10.99  Sub-proof #16 shows that the following formulas are inconsistent:
% 74.36/10.99  ----------------------------------------------------------------
% 74.36/10.99    (1)  all_8_17 = all_4_16
% 74.36/10.99    (2)   ~ (all_4_19 = e4)
% 74.36/10.99    (3)   ~ (all_4_1 = e0)
% 74.36/10.99    (4)  all_10_1 = e4 | all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 |
% 74.36/10.99         all_10_21 = e4
% 74.36/10.99    (5)   ~ (all_4_9 = e0)
% 74.36/10.99    (6)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.36/10.99    (7)   ~ (all_4_10 = e3)
% 74.36/10.99    (8)  all_10_4 = all_4_10
% 74.36/10.99    (9)  all_10_22 = e2
% 74.36/10.99    (10)   ~ (all_4_16 = e2)
% 74.36/11.00    (11)  (all_8_13 = e4 &  ~ (all_8_14 = e3)) | (all_8_17 = e2 &  ~ (all_8_18 =
% 74.36/11.00              e3)) | (all_8_20 = e1 &  ~ (all_8_21 = e3)) | (all_8_23 = e0 &  ~
% 74.36/11.00            (all_8_24 = e3))
% 74.36/11.00    (12)  all_10_1 = all_4_5
% 74.36/11.00    (13)   ~ (all_4_4 = e2)
% 74.36/11.00    (14)  all_10_24 = e1
% 74.36/11.00    (15)   ~ (e2 = e0)
% 74.36/11.00    (16)  op(e3, e4) = all_4_1
% 74.36/11.00    (17)   ~ (e4 = e0)
% 74.36/11.00    (18)  all_10_3 = e0
% 74.36/11.00    (19)   ~ (all_4_4 = all_4_9)
% 74.36/11.00    (20)  all_10_23 = all_4_19
% 74.36/11.00    (21)  all_10_21 = all_4_9
% 74.36/11.00    (22)   ~ (all_4_10 = e0)
% 74.36/11.00    (23)  op(e4, all_4_5) = all_8_14
% 74.36/11.00    (24)  op(e4, e4) = e2
% 74.36/11.00    (25)   ~ (all_8_27 = e2)
% 74.36/11.00    (26)   ~ (all_4_5 = e1)
% 74.36/11.00    (27)  all_8_20 = all_4_11
% 74.36/11.00    (28)  all_10_20 = all_4_4
% 74.36/11.00    (29)   ~ (all_4_5 = e0)
% 74.36/11.00    (30)  all_10_1 = e3 | all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 |
% 74.36/11.00          all_10_21 = e3
% 74.36/11.00    (31)  all_10_20 = e4 | all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 74.36/11.00          all_10_24 = e4
% 74.36/11.00    (32)   ~ (all_4_10 = all_4_11)
% 74.36/11.00    (33)  op(e3, all_4_9) = all_8_23
% 74.36/11.00    (34)  all_6_1 = all_4_5
% 74.36/11.00    (35)  all_10_13 = e2
% 74.36/11.00    (36)   ~ (e4 = e2)
% 74.36/11.00    (37)  op(e4, all_4_10) = all_8_27
% 74.36/11.00    (38)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.36/11.00            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.36/11.00    (39)  op(e4, all_4_4) = e0
% 74.36/11.00    (40)  all_6_2 = all_4_10
% 74.36/11.00    (41)  op(e3, e3) = e0
% 74.36/11.00    (42)   ~ (e4 = e1)
% 74.36/11.00    (43)  all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 74.36/11.00          all_10_22 = e4
% 74.36/11.00    (44)   ~ (all_4_4 = e1)
% 74.36/11.00    (45)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.36/11.00    (46)   ~ (all_4_5 = all_4_9)
% 74.36/11.00    (47)  all_10_7 = e1
% 74.36/11.00    (48)  op(e3, all_4_5) = all_8_13
% 74.36/11.00  
% 74.36/11.00  Begin of proof
% 74.36/11.00  | 
% 74.36/11.00  | BETA: splitting (11) gives:
% 74.36/11.00  | 
% 74.36/11.00  | Case 1:
% 74.36/11.00  | | 
% 74.36/11.00  | |   (49)  (all_8_13 = e4 &  ~ (all_8_14 = e3)) | (all_8_17 = e2 &  ~ (all_8_18
% 74.36/11.00  | |             = e3))
% 74.36/11.00  | | 
% 74.36/11.00  | | REF_CLOSE: (1), (2), (4), (5), (6), (9), (10), (12), (13), (14), (15), (17),
% 74.36/11.00  | |            (18), (19), (20), (21), (23), (24), (26), (28), (29), (30), (31),
% 74.36/11.00  | |            (34), (35), (36), (38), (39), (41), (42), (44), (46), (47), (48),
% 74.36/11.00  | |            (49) are inconsistent by sub-proof #18.
% 74.36/11.00  | | 
% 74.36/11.00  | Case 2:
% 74.36/11.00  | | 
% 74.36/11.00  | |   (50)  (all_8_20 = e1 &  ~ (all_8_21 = e3)) | (all_8_23 = e0 &  ~ (all_8_24
% 74.36/11.00  | |             = e3))
% 74.36/11.00  | | 
% 74.36/11.00  | | BETA: splitting (50) gives:
% 74.36/11.00  | | 
% 74.36/11.00  | | Case 1:
% 74.36/11.00  | | | 
% 74.36/11.00  | | |   (51)  all_8_20 = e1 &  ~ (all_8_21 = e3)
% 74.36/11.00  | | | 
% 74.36/11.00  | | | REF_CLOSE: (7), (8), (22), (24), (25), (27), (32), (37), (38), (40), (43),
% 74.36/11.00  | | |            (45), (51) are inconsistent by sub-proof #24.
% 74.36/11.00  | | | 
% 74.36/11.00  | | Case 2:
% 74.36/11.00  | | | 
% 74.36/11.00  | | |   (52)  all_8_23 = e0 &  ~ (all_8_24 = e3)
% 74.36/11.00  | | | 
% 74.36/11.00  | | | REF_CLOSE: (2), (3), (4), (9), (12), (13), (14), (15), (16), (17), (18),
% 74.36/11.00  | | |            (19), (20), (21), (23), (24), (28), (31), (33), (35), (36),
% 74.36/11.00  | | |            (38), (39), (42), (44), (47), (52) are inconsistent by
% 74.36/11.00  | | |            sub-proof #17.
% 74.36/11.00  | | | 
% 74.36/11.00  | | End of split
% 74.36/11.00  | | 
% 74.36/11.00  | End of split
% 74.36/11.00  | 
% 74.36/11.00  End of proof
% 74.36/11.00  
% 74.36/11.00  Sub-proof #17 shows that the following formulas are inconsistent:
% 74.36/11.00  ----------------------------------------------------------------
% 74.36/11.00    (1)   ~ (all_4_19 = e4)
% 74.36/11.00    (2)   ~ (all_4_1 = e0)
% 74.36/11.00    (3)  all_10_1 = e4 | all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 |
% 74.36/11.00         all_10_21 = e4
% 74.36/11.00    (4)  all_10_22 = e2
% 74.36/11.00    (5)  all_10_1 = all_4_5
% 74.36/11.00    (6)   ~ (all_4_4 = e2)
% 74.36/11.00    (7)  all_10_24 = e1
% 74.36/11.00    (8)   ~ (e2 = e0)
% 74.36/11.00    (9)  op(e3, e4) = all_4_1
% 74.36/11.00    (10)   ~ (e4 = e0)
% 74.36/11.00    (11)  all_10_3 = e0
% 74.36/11.00    (12)   ~ (all_4_4 = all_4_9)
% 74.36/11.00    (13)  all_10_23 = all_4_19
% 74.36/11.00    (14)  all_10_21 = all_4_9
% 74.36/11.00    (15)  op(e4, all_4_5) = all_8_14
% 74.36/11.00    (16)  op(e4, e4) = e2
% 74.36/11.00    (17)  all_10_20 = all_4_4
% 74.36/11.00    (18)  all_10_20 = e4 | all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 74.36/11.00          all_10_24 = e4
% 74.36/11.00    (19)  op(e3, all_4_9) = all_8_23
% 74.36/11.00    (20)  all_10_13 = e2
% 74.36/11.00    (21)   ~ (e4 = e2)
% 74.36/11.00    (22)  all_8_23 = e0 &  ~ (all_8_24 = e3)
% 74.36/11.00    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.36/11.00            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.36/11.00    (24)  op(e4, all_4_4) = e0
% 74.36/11.00    (25)   ~ (e4 = e1)
% 74.36/11.00    (26)   ~ (all_4_4 = e1)
% 74.36/11.00    (27)  all_10_7 = e1
% 74.36/11.00  
% 74.36/11.00  Begin of proof
% 74.36/11.00  | 
% 74.36/11.00  | ALPHA: (22) implies:
% 74.36/11.00  |   (28)  all_8_23 = e0
% 74.36/11.00  | 
% 74.36/11.00  | REDUCE: (19), (28) imply:
% 74.36/11.00  |   (29)  op(e3, all_4_9) = e0
% 74.36/11.00  | 
% 74.36/11.00  | BETA: splitting (18) gives:
% 74.36/11.00  | 
% 74.36/11.00  | Case 1:
% 74.36/11.00  | | 
% 74.36/11.00  | |   (30)  all_10_20 = e4
% 74.36/11.00  | | 
% 74.36/11.00  | | REF_CLOSE: (3), (5), (6), (8), (10), (11), (12), (14), (15), (16), (17),
% 74.36/11.00  | |            (20), (23), (24), (26), (27), (30) are inconsistent by sub-proof
% 74.36/11.00  | |            #19.
% 74.36/11.00  | | 
% 74.36/11.00  | Case 2:
% 74.36/11.00  | | 
% 74.36/11.00  | |   (31)  all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 74.36/11.00  | | 
% 74.36/11.00  | | REF_CLOSE: (1), (2), (4), (7), (9), (13), (14), (21), (23), (25), (29), (31)
% 74.36/11.00  | |            are inconsistent by sub-proof #32.
% 74.36/11.00  | | 
% 74.36/11.00  | End of split
% 74.36/11.00  | 
% 74.36/11.00  End of proof
% 74.36/11.00  
% 74.36/11.00  Sub-proof #18 shows that the following formulas are inconsistent:
% 74.36/11.00  ----------------------------------------------------------------
% 74.36/11.00    (1)  all_8_17 = all_4_16
% 74.36/11.00    (2)   ~ (all_4_19 = e4)
% 74.36/11.00    (3)  all_10_1 = e4 | all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 |
% 74.36/11.00         all_10_21 = e4
% 74.36/11.00    (4)   ~ (all_4_9 = e0)
% 74.36/11.00    (5)  (all_8_13 = e4 &  ~ (all_8_14 = e3)) | (all_8_17 = e2 &  ~ (all_8_18 =
% 74.36/11.00             e3))
% 74.36/11.00    (6)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.36/11.00    (7)  all_10_22 = e2
% 74.36/11.00    (8)   ~ (all_4_16 = e2)
% 74.36/11.00    (9)  all_10_1 = all_4_5
% 74.36/11.00    (10)   ~ (all_4_4 = e2)
% 74.36/11.00    (11)  all_10_24 = e1
% 74.36/11.00    (12)   ~ (e2 = e0)
% 74.36/11.00    (13)   ~ (e4 = e0)
% 74.36/11.00    (14)  all_10_3 = e0
% 74.36/11.00    (15)   ~ (all_4_4 = all_4_9)
% 74.36/11.00    (16)  all_10_23 = all_4_19
% 74.36/11.00    (17)  all_10_21 = all_4_9
% 74.36/11.00    (18)  op(e4, all_4_5) = all_8_14
% 74.36/11.00    (19)  op(e4, e4) = e2
% 74.36/11.00    (20)   ~ (all_4_5 = e1)
% 74.36/11.00    (21)  all_10_20 = all_4_4
% 74.36/11.00    (22)   ~ (all_4_5 = e0)
% 74.36/11.00    (23)  all_10_1 = e3 | all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 |
% 74.36/11.00          all_10_21 = e3
% 74.36/11.00    (24)  all_10_20 = e4 | all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 74.36/11.00          all_10_24 = e4
% 74.36/11.00    (25)  all_6_1 = all_4_5
% 74.36/11.00    (26)  all_10_13 = e2
% 74.36/11.00    (27)   ~ (e4 = e2)
% 74.36/11.00    (28)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.36/11.00            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.36/11.00    (29)  op(e4, all_4_4) = e0
% 74.36/11.00    (30)  op(e3, e3) = e0
% 74.36/11.00    (31)   ~ (e4 = e1)
% 74.36/11.00    (32)   ~ (all_4_4 = e1)
% 74.36/11.00    (33)   ~ (all_4_5 = all_4_9)
% 74.36/11.00    (34)  all_10_7 = e1
% 74.36/11.00    (35)  op(e3, all_4_5) = all_8_13
% 74.36/11.00  
% 74.36/11.00  Begin of proof
% 74.36/11.00  | 
% 74.36/11.00  | BETA: splitting (5) gives:
% 74.36/11.00  | 
% 74.36/11.00  | Case 1:
% 74.36/11.00  | | 
% 74.36/11.00  | |   (36)  all_8_13 = e4 &  ~ (all_8_14 = e3)
% 74.36/11.00  | | 
% 74.36/11.00  | | ALPHA: (36) implies:
% 74.36/11.00  | |   (37)  all_8_13 = e4
% 74.36/11.00  | | 
% 74.36/11.00  | | REDUCE: (35), (37) imply:
% 74.36/11.00  | |   (38)  op(e3, all_4_5) = e4
% 74.36/11.00  | | 
% 74.36/11.00  | | BETA: splitting (24) gives:
% 74.36/11.00  | | 
% 74.36/11.00  | | Case 1:
% 74.36/11.00  | | | 
% 74.36/11.00  | | |   (39)  all_10_20 = e4
% 74.36/11.00  | | | 
% 74.36/11.00  | | | REF_CLOSE: (3), (9), (10), (12), (13), (14), (15), (17), (18), (19), (21),
% 74.36/11.00  | | |            (26), (28), (29), (32), (34), (39) are inconsistent by
% 74.36/11.00  | | |            sub-proof #19.
% 74.36/11.00  | | | 
% 74.36/11.00  | | Case 2:
% 74.36/11.00  | | | 
% 74.36/11.00  | | |   (40)  all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 74.36/11.00  | | | 
% 74.36/11.00  | | | REF_CLOSE: (2), (4), (6), (7), (9), (11), (16), (17), (20), (22), (23),
% 74.36/11.00  | | |            (25), (27), (28), (30), (31), (33), (38), (40) are inconsistent
% 74.36/11.00  | | |            by sub-proof #26.
% 74.36/11.00  | | | 
% 74.36/11.00  | | End of split
% 74.36/11.00  | | 
% 74.36/11.00  | Case 2:
% 74.36/11.00  | | 
% 74.36/11.00  | |   (41)  all_8_17 = e2 &  ~ (all_8_18 = e3)
% 74.36/11.00  | | 
% 74.36/11.00  | | REF_CLOSE: (1), (8), (41) are inconsistent by sub-proof #25.
% 74.36/11.00  | | 
% 74.36/11.00  | End of split
% 74.36/11.00  | 
% 74.36/11.00  End of proof
% 74.36/11.00  
% 74.36/11.00  Sub-proof #19 shows that the following formulas are inconsistent:
% 74.36/11.00  ----------------------------------------------------------------
% 74.36/11.00    (1)  all_10_1 = e4 | all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 |
% 74.36/11.00         all_10_21 = e4
% 74.36/11.00    (2)  all_10_20 = e4
% 74.36/11.00    (3)  all_10_1 = all_4_5
% 74.36/11.00    (4)   ~ (all_4_4 = e2)
% 74.36/11.00    (5)   ~ (e2 = e0)
% 74.36/11.00    (6)   ~ (e4 = e0)
% 74.36/11.00    (7)  all_10_3 = e0
% 74.36/11.00    (8)   ~ (all_4_4 = all_4_9)
% 74.36/11.00    (9)  all_10_21 = all_4_9
% 74.36/11.00    (10)  op(e4, all_4_5) = all_8_14
% 74.36/11.00    (11)  op(e4, e4) = e2
% 74.36/11.01    (12)  all_10_20 = all_4_4
% 74.36/11.01    (13)  all_10_13 = e2
% 74.36/11.01    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.36/11.01            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.36/11.01    (15)  op(e4, all_4_4) = e0
% 74.36/11.01    (16)   ~ (all_4_4 = e1)
% 74.36/11.01    (17)  all_10_7 = e1
% 74.36/11.01  
% 74.36/11.01  Begin of proof
% 74.36/11.01  | 
% 74.36/11.01  | COMBINE_EQS: (2), (12) imply:
% 74.36/11.01  |   (18)  all_4_4 = e4
% 74.36/11.01  | 
% 74.36/11.01  | SIMP: (18) implies:
% 74.36/11.01  |   (19)  all_4_4 = e4
% 74.36/11.01  | 
% 74.36/11.01  | REDUCE: (8), (19) imply:
% 74.36/11.01  |   (20)   ~ (all_4_9 = e4)
% 74.36/11.01  | 
% 74.36/11.01  | SIMP: (20) implies:
% 74.36/11.01  |   (21)   ~ (all_4_9 = e4)
% 74.36/11.01  | 
% 74.36/11.01  | REDUCE: (4), (19) imply:
% 74.36/11.01  |   (22)   ~ (e4 = e2)
% 74.36/11.01  | 
% 74.36/11.01  | REDUCE: (16), (19) imply:
% 74.36/11.01  |   (23)   ~ (e4 = e1)
% 74.36/11.01  | 
% 74.36/11.01  | REDUCE: (15), (19) imply:
% 74.36/11.01  |   (24)  op(e4, e4) = e0
% 74.36/11.01  | 
% 74.36/11.01  | BETA: splitting (1) gives:
% 74.36/11.01  | 
% 74.36/11.01  | Case 1:
% 74.36/11.01  | | 
% 74.36/11.01  | |   (25)  all_10_1 = e4
% 74.36/11.01  | | 
% 74.36/11.01  | | COMBINE_EQS: (3), (25) imply:
% 74.36/11.01  | |   (26)  all_4_5 = e4
% 74.36/11.01  | | 
% 74.36/11.01  | | REDUCE: (10), (26) imply:
% 74.45/11.01  | |   (27)  op(e4, e4) = all_8_14
% 74.45/11.01  | | 
% 74.45/11.01  | | GROUND_INST: instantiating (14) with e2, all_8_14, e4, e4, simplifying with
% 74.45/11.01  | |              (11), (27) gives:
% 74.45/11.01  | |   (28)  all_8_14 = e2
% 74.45/11.01  | | 
% 74.45/11.01  | | GROUND_INST: instantiating (14) with e0, all_8_14, e4, e4, simplifying with
% 74.45/11.01  | |              (24), (27) gives:
% 74.45/11.01  | |   (29)  all_8_14 = e0
% 74.45/11.01  | | 
% 74.45/11.01  | | COMBINE_EQS: (28), (29) imply:
% 74.45/11.01  | |   (30)  e2 = e0
% 74.45/11.01  | | 
% 74.45/11.01  | | SIMP: (30) implies:
% 74.45/11.01  | |   (31)  e2 = e0
% 74.45/11.01  | | 
% 74.45/11.01  | | REDUCE: (5), (31) imply:
% 74.45/11.01  | |   (32)  $false
% 74.45/11.01  | | 
% 74.45/11.01  | | CLOSE: (32) is inconsistent.
% 74.45/11.01  | | 
% 74.45/11.01  | Case 2:
% 74.45/11.01  | | 
% 74.45/11.01  | |   (33)  all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 | all_10_21 = e4
% 74.45/11.01  | | 
% 74.45/11.01  | | REF_CLOSE: (6), (7), (9), (13), (17), (21), (22), (23), (33) are
% 74.45/11.01  | |            inconsistent by sub-proof #28.
% 74.45/11.01  | | 
% 74.45/11.01  | End of split
% 74.45/11.01  | 
% 74.45/11.01  End of proof
% 74.45/11.01  
% 74.45/11.01  Sub-proof #20 shows that the following formulas are inconsistent:
% 74.45/11.01  ----------------------------------------------------------------
% 74.45/11.01    (1)  all_8_17 = all_4_16
% 74.45/11.01    (2)   ~ (all_4_19 = e4)
% 74.45/11.01    (3)   ~ (all_4_1 = e0)
% 74.45/11.01    (4)  all_10_1 = e4 | all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 |
% 74.45/11.01         all_10_21 = e4
% 74.45/11.01    (5)   ~ (all_4_9 = e0)
% 74.45/11.01    (6)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.45/11.01    (7)   ~ (all_4_2 = e1)
% 74.45/11.01    (8)   ~ (all_4_10 = e3)
% 74.45/11.01    (9)   ~ (e3 = e2)
% 74.45/11.01    (10)  all_10_4 = all_4_10
% 74.45/11.01    (11)  all_10_22 = e2
% 74.45/11.01    (12)   ~ (all_4_16 = e2)
% 74.45/11.01    (13)  (all_8_13 = e4 &  ~ (all_8_14 = e3)) | (all_8_17 = e2 &  ~ (all_8_18 =
% 74.45/11.01              e3)) | (all_8_20 = e1 &  ~ (all_8_21 = e3)) | (all_8_23 = e0 &  ~
% 74.45/11.01            (all_8_24 = e3))
% 74.45/11.01    (14)   ~ (all_4_20 = e3)
% 74.45/11.01    (15)  all_10_1 = all_4_5
% 74.45/11.01    (16)   ~ (all_4_4 = e2)
% 74.45/11.01    (17)  all_10_24 = e1
% 74.45/11.01    (18)   ~ (e2 = e0)
% 74.45/11.01    (19)   ~ (all_4_2 = e3)
% 74.45/11.01    (20)  op(e3, e4) = all_4_1
% 74.45/11.01    (21)  all_10_16 = all_4_20
% 74.45/11.01    (22)   ~ (e4 = e0)
% 74.45/11.01    (23)  all_10_3 = e0
% 74.45/11.01    (24)   ~ (all_4_4 = all_4_9)
% 74.45/11.01    (25)  all_10_6 = e0 | all_10_7 = e0 | all_10_8 = e0 | all_10_11 = e0 |
% 74.45/11.01          all_10_18 = e0
% 74.45/11.01    (26)  all_10_23 = all_4_19
% 74.45/11.01    (27)  all_10_21 = all_4_9
% 74.45/11.01    (28)   ~ (all_4_10 = e0)
% 74.45/11.01    (29)   ~ (all_4_2 = all_4_4)
% 74.45/11.01    (30)  op(e4, e4) = e2
% 74.45/11.01    (31)   ~ (all_8_27 = e2)
% 74.45/11.01    (32)   ~ (all_4_5 = e1)
% 74.45/11.01    (33)  all_8_20 = all_4_11
% 74.45/11.01    (34)  all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 74.45/11.01          all_10_23 = e3
% 74.45/11.01    (35)  all_10_20 = all_4_4
% 74.45/11.01    (36)  all_10_0 = e3 | all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 74.45/11.01          all_10_16 = e3
% 74.45/11.01    (37)  all_6_10 = all_4_2
% 74.45/11.01    (38)   ~ (e4 = e3)
% 74.45/11.01    (39)   ~ (all_4_5 = e0)
% 74.45/11.01    (40)  op(e4, all_4_20) = all_8_53
% 74.45/11.01    (41)  all_10_1 = e3 | all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 |
% 74.45/11.01          all_10_21 = e3
% 74.45/11.01    (42)  all_10_9 = all_4_15
% 74.45/11.01    (43)  all_10_20 = e4 | all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 74.45/11.01          all_10_24 = e4
% 74.45/11.01    (44)   ~ (all_4_2 = e2)
% 74.45/11.01    (45)   ~ (all_4_10 = all_4_11)
% 74.45/11.01    (46)  op(e3, all_4_9) = all_8_23
% 74.45/11.01    (47)  all_6_1 = all_4_5
% 74.45/11.01    (48)   ~ (all_4_5 = all_4_10)
% 74.45/11.01    (49)  all_10_13 = e2
% 74.45/11.01    (50)   ~ (e4 = e2)
% 74.45/11.01    (51)  all_10_6 = all_4_2
% 74.45/11.01    (52)  op(e4, all_4_10) = all_8_27
% 74.45/11.01    (53)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.45/11.01            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.45/11.01    (54)  all_6_2 = all_4_10
% 74.45/11.01    (55)  op(e3, e3) = e0
% 74.45/11.01    (56)   ~ (e4 = e1)
% 74.45/11.01    (57)  op(e4, e0) = all_4_20
% 74.45/11.01    (58)  all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 74.45/11.01          all_10_22 = e4
% 74.45/11.01    (59)   ~ (e3 = e0)
% 74.45/11.01    (60)  op(e4, all_4_2) = e2
% 74.45/11.01    (61)   ~ (all_4_4 = e1)
% 74.45/11.01    (62)  all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 74.45/11.01    (63)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.45/11.01    (64)  all_10_0 = e2
% 74.45/11.01    (65)  all_10_0 = e0 | all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 74.45/11.01          all_10_16 = e0
% 74.45/11.01    (66)   ~ (all_4_5 = all_4_9)
% 74.45/11.01    (67)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 74.45/11.01          all_10_22 = e1
% 74.45/11.01    (68)  all_10_7 = e1
% 74.45/11.01    (69)  op(e3, all_4_5) = all_8_13
% 74.45/11.01  
% 74.45/11.01  Begin of proof
% 74.45/11.01  | 
% 74.45/11.01  | BETA: splitting (13) gives:
% 74.45/11.01  | 
% 74.45/11.01  | Case 1:
% 74.45/11.01  | | 
% 74.45/11.01  | |   (70)  (all_8_13 = e4 &  ~ (all_8_14 = e3)) | (all_8_17 = e2 &  ~ (all_8_18
% 74.45/11.01  | |             = e3))
% 74.45/11.01  | | 
% 74.45/11.01  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (14),
% 74.45/11.01  | |            (15), (16), (17), (18), (19), (21), (22), (23), (24), (25), (26),
% 74.45/11.01  | |            (27), (28), (29), (32), (34), (35), (36), (37), (38), (39), (40),
% 74.45/11.01  | |            (41), (42), (43), (44), (47), (48), (49), (50), (51), (53), (54),
% 74.45/11.01  | |            (55), (56), (57), (59), (60), (61), (62), (63), (64), (65), (66),
% 74.45/11.01  | |            (67), (68), (69), (70) are inconsistent by sub-proof #22.
% 74.45/11.01  | | 
% 74.45/11.01  | Case 2:
% 74.45/11.01  | | 
% 74.45/11.01  | |   (71)  (all_8_20 = e1 &  ~ (all_8_21 = e3)) | (all_8_23 = e0 &  ~ (all_8_24
% 74.45/11.01  | |             = e3))
% 74.45/11.01  | | 
% 74.45/11.01  | | BETA: splitting (71) gives:
% 74.45/11.01  | | 
% 74.45/11.01  | | Case 1:
% 74.45/11.01  | | | 
% 74.45/11.01  | | |   (72)  all_8_20 = e1 &  ~ (all_8_21 = e3)
% 74.45/11.01  | | | 
% 74.45/11.01  | | | REF_CLOSE: (8), (10), (28), (30), (31), (33), (45), (52), (53), (54),
% 74.45/11.01  | | |            (58), (63), (72) are inconsistent by sub-proof #24.
% 74.45/11.01  | | | 
% 74.45/11.01  | | Case 2:
% 74.45/11.01  | | | 
% 74.45/11.01  | | |   (73)  all_8_23 = e0 &  ~ (all_8_24 = e3)
% 74.45/11.01  | | | 
% 74.45/11.01  | | | REF_CLOSE: (2), (3), (4), (7), (8), (9), (10), (11), (14), (15), (16),
% 74.45/11.01  | | |            (17), (18), (19), (20), (21), (22), (23), (24), (25), (26),
% 74.45/11.01  | | |            (27), (28), (29), (34), (35), (36), (37), (38), (39), (40),
% 74.45/11.01  | | |            (42), (43), (44), (46), (48), (49), (50), (51), (53), (54),
% 74.45/11.01  | | |            (56), (57), (59), (60), (61), (62), (63), (64), (65), (67),
% 74.45/11.01  | | |            (68), (73) are inconsistent by sub-proof #21.
% 74.45/11.01  | | | 
% 74.45/11.01  | | End of split
% 74.45/11.01  | | 
% 74.45/11.01  | End of split
% 74.45/11.01  | 
% 74.45/11.01  End of proof
% 74.45/11.01  
% 74.45/11.01  Sub-proof #21 shows that the following formulas are inconsistent:
% 74.45/11.01  ----------------------------------------------------------------
% 74.45/11.01    (1)   ~ (all_4_19 = e4)
% 74.45/11.01    (2)   ~ (all_4_1 = e0)
% 74.45/11.01    (3)  all_10_1 = e4 | all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 |
% 74.45/11.01         all_10_21 = e4
% 74.45/11.01    (4)   ~ (all_4_2 = e1)
% 74.45/11.01    (5)   ~ (all_4_10 = e3)
% 74.45/11.01    (6)   ~ (e3 = e2)
% 74.45/11.01    (7)  all_10_4 = all_4_10
% 74.45/11.01    (8)  all_10_22 = e2
% 74.45/11.01    (9)   ~ (all_4_20 = e3)
% 74.45/11.01    (10)  all_10_1 = all_4_5
% 74.45/11.01    (11)   ~ (all_4_4 = e2)
% 74.45/11.01    (12)  all_10_24 = e1
% 74.45/11.01    (13)   ~ (e2 = e0)
% 74.45/11.01    (14)   ~ (all_4_2 = e3)
% 74.45/11.01    (15)  op(e3, e4) = all_4_1
% 74.45/11.01    (16)  all_10_16 = all_4_20
% 74.45/11.01    (17)   ~ (e4 = e0)
% 74.45/11.01    (18)  all_10_3 = e0
% 74.45/11.01    (19)   ~ (all_4_4 = all_4_9)
% 74.45/11.01    (20)  all_10_6 = e0 | all_10_7 = e0 | all_10_8 = e0 | all_10_11 = e0 |
% 74.45/11.01          all_10_18 = e0
% 74.45/11.01    (21)  all_10_23 = all_4_19
% 74.45/11.01    (22)  all_10_21 = all_4_9
% 74.45/11.01    (23)   ~ (all_4_10 = e0)
% 74.45/11.01    (24)   ~ (all_4_2 = all_4_4)
% 74.45/11.01    (25)  all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 74.45/11.01          all_10_23 = e3
% 74.45/11.01    (26)  all_10_20 = all_4_4
% 74.45/11.01    (27)  all_10_0 = e3 | all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 74.45/11.01          all_10_16 = e3
% 74.45/11.01    (28)  all_6_10 = all_4_2
% 74.45/11.01    (29)   ~ (e4 = e3)
% 74.45/11.01    (30)   ~ (all_4_5 = e0)
% 74.45/11.01    (31)  op(e4, all_4_20) = all_8_53
% 74.45/11.01    (32)  all_10_9 = all_4_15
% 74.45/11.01    (33)  all_10_20 = e4 | all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 74.45/11.01          all_10_24 = e4
% 74.45/11.01    (34)   ~ (all_4_2 = e2)
% 74.45/11.02    (35)  op(e3, all_4_9) = all_8_23
% 74.45/11.02    (36)   ~ (all_4_5 = all_4_10)
% 74.45/11.02    (37)  all_10_13 = e2
% 74.45/11.02    (38)   ~ (e4 = e2)
% 74.45/11.02    (39)  all_8_23 = e0 &  ~ (all_8_24 = e3)
% 74.45/11.02    (40)  all_10_6 = all_4_2
% 74.45/11.02    (41)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.45/11.02            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.45/11.02    (42)  all_6_2 = all_4_10
% 74.45/11.02    (43)   ~ (e4 = e1)
% 74.45/11.02    (44)  op(e4, e0) = all_4_20
% 74.45/11.02    (45)   ~ (e3 = e0)
% 74.45/11.02    (46)  op(e4, all_4_2) = e2
% 74.45/11.02    (47)   ~ (all_4_4 = e1)
% 74.45/11.02    (48)  all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 74.45/11.02    (49)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.45/11.02    (50)  all_10_0 = e2
% 74.45/11.02    (51)  all_10_0 = e0 | all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 74.45/11.02          all_10_16 = e0
% 74.45/11.02    (52)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 74.45/11.02          all_10_22 = e1
% 74.45/11.02    (53)  all_10_7 = e1
% 74.45/11.02  
% 74.45/11.02  Begin of proof
% 74.45/11.02  | 
% 74.45/11.02  | ALPHA: (39) implies:
% 74.45/11.02  |   (54)  all_8_23 = e0
% 74.45/11.02  | 
% 74.45/11.02  | REDUCE: (35), (54) imply:
% 74.45/11.02  |   (55)  op(e3, all_4_9) = e0
% 74.45/11.02  | 
% 74.45/11.02  | BETA: splitting (33) gives:
% 74.45/11.02  | 
% 74.45/11.02  | Case 1:
% 74.45/11.02  | | 
% 74.45/11.02  | |   (56)  all_10_20 = e4
% 74.45/11.02  | | 
% 74.45/11.02  | | REF_CLOSE: (3), (4), (5), (6), (7), (9), (10), (11), (13), (14), (16), (17),
% 74.45/11.02  | |            (18), (19), (20), (22), (23), (24), (25), (26), (27), (28), (29),
% 74.45/11.02  | |            (30), (31), (32), (34), (36), (37), (40), (41), (42), (44), (45),
% 74.45/11.02  | |            (46), (47), (48), (49), (50), (51), (52), (53), (56) are
% 74.45/11.02  | |            inconsistent by sub-proof #23.
% 74.45/11.02  | | 
% 74.45/11.02  | Case 2:
% 74.45/11.02  | | 
% 74.45/11.02  | |   (57)  all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 74.45/11.02  | | 
% 74.45/11.02  | | REF_CLOSE: (1), (2), (8), (12), (15), (21), (22), (38), (41), (43), (55),
% 74.45/11.02  | |            (57) are inconsistent by sub-proof #32.
% 74.45/11.02  | | 
% 74.45/11.02  | End of split
% 74.45/11.02  | 
% 74.45/11.02  End of proof
% 74.45/11.02  
% 74.45/11.02  Sub-proof #22 shows that the following formulas are inconsistent:
% 74.45/11.02  ----------------------------------------------------------------
% 74.45/11.02    (1)  all_8_17 = all_4_16
% 74.45/11.02    (2)   ~ (all_4_19 = e4)
% 74.45/11.02    (3)  all_10_1 = e4 | all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 |
% 74.45/11.02         all_10_21 = e4
% 74.45/11.02    (4)   ~ (all_4_9 = e0)
% 74.45/11.02    (5)  (all_8_13 = e4 &  ~ (all_8_14 = e3)) | (all_8_17 = e2 &  ~ (all_8_18 =
% 74.45/11.02             e3))
% 74.45/11.02    (6)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.45/11.02    (7)   ~ (all_4_2 = e1)
% 74.45/11.02    (8)   ~ (all_4_10 = e3)
% 74.45/11.02    (9)   ~ (e3 = e2)
% 74.45/11.02    (10)  all_10_4 = all_4_10
% 74.45/11.02    (11)  all_10_22 = e2
% 74.45/11.02    (12)   ~ (all_4_16 = e2)
% 74.45/11.02    (13)   ~ (all_4_20 = e3)
% 74.45/11.02    (14)  all_10_1 = all_4_5
% 74.45/11.02    (15)   ~ (all_4_4 = e2)
% 74.45/11.02    (16)  all_10_24 = e1
% 74.45/11.02    (17)   ~ (e2 = e0)
% 74.45/11.02    (18)   ~ (all_4_2 = e3)
% 74.45/11.02    (19)  all_10_16 = all_4_20
% 74.45/11.02    (20)   ~ (e4 = e0)
% 74.45/11.02    (21)  all_10_3 = e0
% 74.45/11.02    (22)   ~ (all_4_4 = all_4_9)
% 74.50/11.02    (23)  all_10_6 = e0 | all_10_7 = e0 | all_10_8 = e0 | all_10_11 = e0 |
% 74.50/11.02          all_10_18 = e0
% 74.50/11.02    (24)  all_10_23 = all_4_19
% 74.50/11.02    (25)  all_10_21 = all_4_9
% 74.50/11.02    (26)   ~ (all_4_10 = e0)
% 74.50/11.02    (27)   ~ (all_4_2 = all_4_4)
% 74.50/11.02    (28)   ~ (all_4_5 = e1)
% 74.50/11.02    (29)  all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 74.50/11.02          all_10_23 = e3
% 74.50/11.02    (30)  all_10_20 = all_4_4
% 74.50/11.02    (31)  all_10_0 = e3 | all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 74.50/11.02          all_10_16 = e3
% 74.50/11.02    (32)  all_6_10 = all_4_2
% 74.50/11.02    (33)   ~ (e4 = e3)
% 74.50/11.02    (34)   ~ (all_4_5 = e0)
% 74.50/11.02    (35)  op(e4, all_4_20) = all_8_53
% 74.50/11.02    (36)  all_10_1 = e3 | all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 |
% 74.50/11.02          all_10_21 = e3
% 74.50/11.02    (37)  all_10_9 = all_4_15
% 74.50/11.02    (38)  all_10_20 = e4 | all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 74.50/11.02          all_10_24 = e4
% 74.50/11.02    (39)   ~ (all_4_2 = e2)
% 74.50/11.02    (40)  all_6_1 = all_4_5
% 74.50/11.02    (41)   ~ (all_4_5 = all_4_10)
% 74.50/11.02    (42)  all_10_13 = e2
% 74.50/11.02    (43)   ~ (e4 = e2)
% 74.50/11.02    (44)  all_10_6 = all_4_2
% 74.50/11.02    (45)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.50/11.02            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.50/11.02    (46)  all_6_2 = all_4_10
% 74.50/11.02    (47)  op(e3, e3) = e0
% 74.50/11.02    (48)   ~ (e4 = e1)
% 74.50/11.02    (49)  op(e4, e0) = all_4_20
% 74.50/11.02    (50)   ~ (e3 = e0)
% 74.50/11.02    (51)  op(e4, all_4_2) = e2
% 74.50/11.02    (52)   ~ (all_4_4 = e1)
% 74.50/11.02    (53)  all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 74.50/11.02    (54)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.50/11.02    (55)  all_10_0 = e2
% 74.50/11.02    (56)  all_10_0 = e0 | all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 74.50/11.02          all_10_16 = e0
% 74.50/11.02    (57)   ~ (all_4_5 = all_4_9)
% 74.50/11.02    (58)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 74.50/11.02          all_10_22 = e1
% 74.50/11.02    (59)  all_10_7 = e1
% 74.50/11.02    (60)  op(e3, all_4_5) = all_8_13
% 74.50/11.02  
% 74.50/11.02  Begin of proof
% 74.50/11.02  | 
% 74.50/11.02  | BETA: splitting (5) gives:
% 74.50/11.02  | 
% 74.50/11.02  | Case 1:
% 74.50/11.02  | | 
% 74.50/11.02  | |   (61)  all_8_13 = e4 &  ~ (all_8_14 = e3)
% 74.50/11.02  | | 
% 74.50/11.02  | | ALPHA: (61) implies:
% 74.50/11.02  | |   (62)  all_8_13 = e4
% 74.50/11.02  | | 
% 74.50/11.02  | | REDUCE: (60), (62) imply:
% 74.50/11.02  | |   (63)  op(e3, all_4_5) = e4
% 74.50/11.02  | | 
% 74.50/11.02  | | BETA: splitting (38) gives:
% 74.50/11.02  | | 
% 74.50/11.02  | | Case 1:
% 74.50/11.02  | | | 
% 74.50/11.02  | | |   (64)  all_10_20 = e4
% 74.50/11.02  | | | 
% 74.50/11.02  | | | REF_CLOSE: (3), (7), (8), (9), (10), (13), (14), (15), (17), (18), (19),
% 74.50/11.02  | | |            (20), (21), (22), (23), (25), (26), (27), (29), (30), (31),
% 74.50/11.02  | | |            (32), (33), (34), (35), (37), (39), (41), (42), (44), (45),
% 74.50/11.02  | | |            (46), (49), (50), (51), (52), (53), (54), (55), (56), (58),
% 74.50/11.02  | | |            (59), (64) are inconsistent by sub-proof #23.
% 74.50/11.02  | | | 
% 74.50/11.02  | | Case 2:
% 74.50/11.02  | | | 
% 74.50/11.02  | | |   (65)  all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 74.50/11.02  | | | 
% 74.50/11.02  | | | REF_CLOSE: (2), (4), (6), (11), (14), (16), (24), (25), (28), (34), (36),
% 74.50/11.02  | | |            (40), (43), (45), (47), (48), (57), (63), (65) are inconsistent
% 74.50/11.02  | | |            by sub-proof #26.
% 74.50/11.02  | | | 
% 74.50/11.02  | | End of split
% 74.50/11.02  | | 
% 74.50/11.02  | Case 2:
% 74.50/11.02  | | 
% 74.50/11.02  | |   (66)  all_8_17 = e2 &  ~ (all_8_18 = e3)
% 74.50/11.02  | | 
% 74.50/11.02  | | REF_CLOSE: (1), (12), (66) are inconsistent by sub-proof #25.
% 74.50/11.02  | | 
% 74.50/11.02  | End of split
% 74.50/11.02  | 
% 74.50/11.02  End of proof
% 74.50/11.02  
% 74.50/11.02  Sub-proof #23 shows that the following formulas are inconsistent:
% 74.50/11.02  ----------------------------------------------------------------
% 74.50/11.02    (1)  all_10_1 = e4 | all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 |
% 74.50/11.02         all_10_21 = e4
% 74.50/11.02    (2)   ~ (all_4_2 = e1)
% 74.50/11.02    (3)   ~ (all_4_10 = e3)
% 74.50/11.02    (4)   ~ (e3 = e2)
% 74.50/11.02    (5)  all_10_4 = all_4_10
% 74.50/11.02    (6)  all_10_20 = e4
% 74.50/11.02    (7)   ~ (all_4_20 = e3)
% 74.50/11.02    (8)  all_10_1 = all_4_5
% 74.50/11.02    (9)   ~ (all_4_4 = e2)
% 74.50/11.02    (10)   ~ (e2 = e0)
% 74.50/11.02    (11)   ~ (all_4_2 = e3)
% 74.50/11.02    (12)  all_10_16 = all_4_20
% 74.50/11.02    (13)   ~ (e4 = e0)
% 74.50/11.02    (14)  all_10_3 = e0
% 74.50/11.02    (15)   ~ (all_4_4 = all_4_9)
% 74.50/11.02    (16)  all_10_6 = e0 | all_10_7 = e0 | all_10_8 = e0 | all_10_11 = e0 |
% 74.50/11.02          all_10_18 = e0
% 74.50/11.02    (17)  all_10_21 = all_4_9
% 74.50/11.02    (18)   ~ (all_4_10 = e0)
% 74.50/11.02    (19)   ~ (all_4_2 = all_4_4)
% 74.50/11.02    (20)  all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 74.50/11.02          all_10_23 = e3
% 74.50/11.02    (21)  all_10_20 = all_4_4
% 74.50/11.02    (22)  all_10_0 = e3 | all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 74.50/11.02          all_10_16 = e3
% 74.50/11.02    (23)  all_6_10 = all_4_2
% 74.50/11.02    (24)   ~ (e4 = e3)
% 74.50/11.02    (25)   ~ (all_4_5 = e0)
% 74.50/11.02    (26)  op(e4, all_4_20) = all_8_53
% 74.50/11.02    (27)  all_10_9 = all_4_15
% 74.50/11.02    (28)   ~ (all_4_2 = e2)
% 74.50/11.02    (29)   ~ (all_4_5 = all_4_10)
% 74.50/11.02    (30)  all_10_13 = e2
% 74.50/11.02    (31)  all_10_6 = all_4_2
% 74.50/11.02    (32)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.50/11.02            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.50/11.02    (33)  all_6_2 = all_4_10
% 74.50/11.02    (34)  op(e4, e0) = all_4_20
% 74.50/11.02    (35)   ~ (e3 = e0)
% 74.50/11.02    (36)  op(e4, all_4_2) = e2
% 74.50/11.02    (37)   ~ (all_4_4 = e1)
% 74.50/11.02    (38)  all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 74.50/11.02    (39)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.50/11.03    (40)  all_10_0 = e2
% 74.50/11.03    (41)  all_10_0 = e0 | all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 74.50/11.03          all_10_16 = e0
% 74.50/11.03    (42)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 74.50/11.03          all_10_22 = e1
% 74.50/11.03    (43)  all_10_7 = e1
% 74.50/11.03  
% 74.50/11.03  Begin of proof
% 74.50/11.03  | 
% 74.50/11.03  | COMBINE_EQS: (6), (21) imply:
% 74.50/11.03  |   (44)  all_4_4 = e4
% 74.50/11.03  | 
% 74.50/11.03  | SIMP: (44) implies:
% 74.50/11.03  |   (45)  all_4_4 = e4
% 74.50/11.03  | 
% 74.50/11.03  | REDUCE: (19), (45) imply:
% 74.50/11.03  |   (46)   ~ (all_4_2 = e4)
% 74.50/11.03  | 
% 74.50/11.03  | REDUCE: (15), (45) imply:
% 74.50/11.03  |   (47)   ~ (all_4_9 = e4)
% 74.50/11.03  | 
% 74.50/11.03  | SIMP: (47) implies:
% 74.50/11.03  |   (48)   ~ (all_4_9 = e4)
% 74.50/11.03  | 
% 74.50/11.03  | REDUCE: (9), (45) imply:
% 74.50/11.03  |   (49)   ~ (e4 = e2)
% 74.50/11.03  | 
% 74.50/11.03  | REDUCE: (37), (45) imply:
% 74.50/11.03  |   (50)   ~ (e4 = e1)
% 74.50/11.03  | 
% 74.50/11.03  | BETA: splitting (1) gives:
% 74.50/11.03  | 
% 74.50/11.03  | Case 1:
% 74.50/11.03  | | 
% 74.50/11.03  | |   (51)  all_10_1 = e4
% 74.50/11.03  | | 
% 74.50/11.03  | | COMBINE_EQS: (8), (51) imply:
% 74.50/11.03  | |   (52)  all_4_5 = e4
% 74.50/11.03  | | 
% 74.50/11.03  | | REDUCE: (29), (52) imply:
% 74.50/11.03  | |   (53)   ~ (all_4_10 = e4)
% 74.50/11.03  | | 
% 74.50/11.03  | | SIMP: (53) implies:
% 74.50/11.03  | |   (54)   ~ (all_4_10 = e4)
% 74.50/11.03  | | 
% 74.50/11.03  | | BETA: splitting (22) gives:
% 74.50/11.03  | | 
% 74.50/11.03  | | Case 1:
% 74.50/11.03  | | | 
% 74.50/11.03  | | |   (55)  all_10_0 = e3
% 74.50/11.03  | | | 
% 74.50/11.03  | | | REF_CLOSE: (4), (40), (55) are inconsistent by sub-proof #104.
% 74.50/11.03  | | | 
% 74.50/11.03  | | Case 2:
% 74.50/11.03  | | | 
% 74.50/11.03  | | |   (56)  all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3
% 74.50/11.03  | | | 
% 74.50/11.03  | | | BETA: splitting (38) gives:
% 74.50/11.03  | | | 
% 74.50/11.03  | | | Case 1:
% 74.50/11.03  | | | | 
% 74.50/11.03  | | | |   (57)  all_6_10 = e4
% 74.50/11.03  | | | | 
% 74.50/11.03  | | | | REF_CLOSE: (23), (46), (57) are inconsistent by sub-proof #105.
% 74.50/11.03  | | | | 
% 74.50/11.03  | | | Case 2:
% 74.50/11.03  | | | | 
% 74.50/11.03  | | | |   (58)  all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 74.50/11.03  | | | | 
% 74.50/11.03  | | | | BETA: splitting (42) gives:
% 74.50/11.03  | | | | 
% 74.50/11.03  | | | | Case 1:
% 74.50/11.03  | | | | | 
% 74.50/11.03  | | | | |   (59)  all_10_4 = e1
% 74.50/11.03  | | | | | 
% 74.50/11.03  | | | | | COMBINE_EQS: (5), (59) imply:
% 74.50/11.03  | | | | |   (60)  all_4_10 = e1
% 74.50/11.03  | | | | | 
% 74.50/11.03  | | | | | REDUCE: (3), (60) imply:
% 74.50/11.03  | | | | |   (61)   ~ (e3 = e1)
% 74.50/11.03  | | | | | 
% 74.50/11.03  | | | | | SIMP: (61) implies:
% 74.50/11.03  | | | | |   (62)   ~ (e3 = e1)
% 74.50/11.03  | | | | | 
% 74.50/11.03  | | | | | REDUCE: (18), (60) imply:
% 74.50/11.03  | | | | |   (63)   ~ (e1 = e0)
% 74.50/11.03  | | | | | 
% 74.50/11.03  | | | | | BETA: splitting (56) gives:
% 74.50/11.03  | | | | | 
% 74.50/11.03  | | | | | Case 1:
% 74.50/11.03  | | | | | | 
% 74.50/11.03  | | | | | |   (64)  all_10_1 = e3
% 74.50/11.03  | | | | | | 
% 74.50/11.03  | | | | | | COMBINE_EQS: (51), (64) imply:
% 74.50/11.03  | | | | | |   (65)  e4 = e3
% 74.50/11.03  | | | | | | 
% 74.50/11.03  | | | | | | REDUCE: (24), (65) imply:
% 74.50/11.03  | | | | | |   (66)  $false
% 74.50/11.03  | | | | | | 
% 74.50/11.03  | | | | | | CLOSE: (66) is inconsistent.
% 74.50/11.03  | | | | | | 
% 74.50/11.03  | | | | | Case 2:
% 74.50/11.03  | | | | | | 
% 74.50/11.03  | | | | | |   (67)  all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3
% 74.50/11.03  | | | | | | 
% 74.50/11.03  | | | | | | BETA: splitting (67) gives:
% 74.50/11.03  | | | | | | 
% 74.50/11.03  | | | | | | Case 1:
% 74.50/11.03  | | | | | | | 
% 74.50/11.03  | | | | | | |   (68)  all_10_4 = e3
% 74.50/11.03  | | | | | | | 
% 74.50/11.03  | | | | | | | REF_CLOSE: (59), (62), (68) are inconsistent by sub-proof #31.
% 74.50/11.03  | | | | | | | 
% 74.50/11.03  | | | | | | Case 2:
% 74.50/11.03  | | | | | | | 
% 74.50/11.03  | | | | | | |   (69)  all_10_9 = e3 | all_10_16 = e3
% 74.50/11.03  | | | | | | | 
% 74.50/11.03  | | | | | | | BETA: splitting (20) gives:
% 74.50/11.03  | | | | | | | 
% 74.50/11.03  | | | | | | | Case 1:
% 74.50/11.03  | | | | | | | | 
% 74.50/11.03  | | | | | | | |   (70)  all_10_9 = e3
% 74.50/11.03  | | | | | | | | 
% 74.50/11.03  | | | | | | | | COMBINE_EQS: (27), (70) imply:
% 74.50/11.03  | | | | | | | |   (71)  all_4_15 = e3
% 74.50/11.03  | | | | | | | | 
% 74.50/11.03  | | | | | | | | BETA: splitting (41) gives:
% 74.50/11.03  | | | | | | | | 
% 74.50/11.03  | | | | | | | | Case 1:
% 74.50/11.03  | | | | | | | | | 
% 74.50/11.03  | | | | | | | | |   (72)  all_10_0 = e0
% 74.50/11.03  | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | COMBINE_EQS: (40), (72) imply:
% 74.50/11.03  | | | | | | | | |   (73)  e2 = e0
% 74.50/11.03  | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | REDUCE: (10), (73) imply:
% 74.50/11.03  | | | | | | | | |   (74)  $false
% 74.50/11.03  | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | CLOSE: (74) is inconsistent.
% 74.50/11.03  | | | | | | | | | 
% 74.50/11.03  | | | | | | | | Case 2:
% 74.50/11.03  | | | | | | | | | 
% 74.50/11.03  | | | | | | | | |   (75)  all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 74.50/11.03  | | | | | | | | |         all_10_16 = e0
% 74.50/11.03  | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | BETA: splitting (75) gives:
% 74.50/11.03  | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | Case 1:
% 74.50/11.03  | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | |   (76)  all_10_1 = e0
% 74.50/11.03  | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | COMBINE_EQS: (51), (76) imply:
% 74.50/11.03  | | | | | | | | | |   (77)  e4 = e0
% 74.50/11.03  | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | REDUCE: (13), (77) imply:
% 74.50/11.03  | | | | | | | | | |   (78)  $false
% 74.50/11.03  | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | CLOSE: (78) is inconsistent.
% 74.50/11.03  | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | Case 2:
% 74.50/11.03  | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | |   (79)  all_10_4 = e0 | all_10_9 = e0 | all_10_16 = e0
% 74.50/11.03  | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | BETA: splitting (79) gives:
% 74.50/11.03  | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | Case 1:
% 74.50/11.03  | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | |   (80)  all_10_4 = e0
% 74.50/11.03  | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | COMBINE_EQS: (59), (80) imply:
% 74.50/11.03  | | | | | | | | | | |   (81)  e1 = e0
% 74.50/11.03  | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | REDUCE: (63), (81) imply:
% 74.50/11.03  | | | | | | | | | | |   (82)  $false
% 74.50/11.03  | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | CLOSE: (82) is inconsistent.
% 74.50/11.03  | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | Case 2:
% 74.50/11.03  | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | |   (83)  all_10_9 = e0 | all_10_16 = e0
% 74.50/11.03  | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | BETA: splitting (58) gives:
% 74.50/11.03  | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | Case 1:
% 74.50/11.03  | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | |   (84)  all_6_10 = e1
% 74.50/11.03  | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | REF_CLOSE: (2), (23), (84) are inconsistent by sub-proof
% 74.50/11.03  | | | | | | | | | | | |            #103.
% 74.50/11.03  | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | Case 2:
% 74.50/11.03  | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | |   (85)  all_6_10 = e3 | all_6_10 = e0
% 74.50/11.03  | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | BETA: splitting (83) gives:
% 74.50/11.03  | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | Case 1:
% 74.50/11.03  | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | |   (86)  all_10_9 = e0
% 74.50/11.03  | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | COMBINE_EQS: (70), (86) imply:
% 74.50/11.03  | | | | | | | | | | | | |   (87)  e3 = e0
% 74.50/11.03  | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | REDUCE: (35), (87) imply:
% 74.50/11.03  | | | | | | | | | | | | |   (88)  $false
% 74.50/11.03  | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | CLOSE: (88) is inconsistent.
% 74.50/11.03  | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | Case 2:
% 74.50/11.03  | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | |   (89)  all_10_16 = e0
% 74.50/11.03  | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | COMBINE_EQS: (12), (89) imply:
% 74.50/11.03  | | | | | | | | | | | | |   (90)  all_4_20 = e0
% 74.50/11.03  | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | REDUCE: (26), (90) imply:
% 74.50/11.03  | | | | | | | | | | | | |   (91)  op(e4, e0) = all_8_53
% 74.50/11.03  | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | REDUCE: (34), (90) imply:
% 74.50/11.03  | | | | | | | | | | | | |   (92)  op(e4, e0) = e0
% 74.50/11.03  | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | BETA: splitting (16) gives:
% 74.50/11.03  | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | Case 1:
% 74.50/11.03  | | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | |   (93)  all_10_6 = e0
% 74.50/11.03  | | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | | COMBINE_EQS: (31), (93) imply:
% 74.50/11.03  | | | | | | | | | | | | | |   (94)  all_4_2 = e0
% 74.50/11.03  | | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | | SIMP: (94) implies:
% 74.50/11.03  | | | | | | | | | | | | | |   (95)  all_4_2 = e0
% 74.50/11.03  | | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | | REDUCE: (28), (95) imply:
% 74.50/11.03  | | | | | | | | | | | | | |   (96)   ~ (e2 = e0)
% 74.50/11.03  | | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | | REDUCE: (36), (95) imply:
% 74.50/11.03  | | | | | | | | | | | | | |   (97)  op(e4, e0) = e2
% 74.50/11.03  | | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e2, all_8_53, e0, e4,
% 74.50/11.03  | | | | | | | | | | | | | |              simplifying with (91), (97) gives:
% 74.50/11.03  | | | | | | | | | | | | | |   (98)  all_8_53 = e2
% 74.50/11.03  | | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e0, all_8_53, e0, e4,
% 74.50/11.03  | | | | | | | | | | | | | |              simplifying with (91), (92) gives:
% 74.50/11.03  | | | | | | | | | | | | | |   (99)  all_8_53 = e0
% 74.50/11.03  | | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | | COMBINE_EQS: (98), (99) imply:
% 74.50/11.03  | | | | | | | | | | | | | |   (100)  e2 = e0
% 74.50/11.03  | | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | | REDUCE: (10), (100) imply:
% 74.50/11.03  | | | | | | | | | | | | | |   (101)  $false
% 74.50/11.03  | | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | | CLOSE: (101) is inconsistent.
% 74.50/11.03  | | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | Case 2:
% 74.50/11.03  | | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | |   (102)   ~ (all_10_6 = e0)
% 74.50/11.03  | | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | | REDUCE: (31), (102) imply:
% 74.50/11.03  | | | | | | | | | | | | | |   (103)   ~ (all_4_2 = e0)
% 74.50/11.03  | | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | | REF_CLOSE: (11), (23), (85), (103) are inconsistent by
% 74.50/11.03  | | | | | | | | | | | | | |            sub-proof #62.
% 74.50/11.03  | | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | | End of split
% 74.50/11.03  | | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | | End of split
% 74.50/11.03  | | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | | End of split
% 74.50/11.03  | | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | | End of split
% 74.50/11.03  | | | | | | | | | | 
% 74.50/11.03  | | | | | | | | | End of split
% 74.50/11.03  | | | | | | | | | 
% 74.50/11.03  | | | | | | | | End of split
% 74.50/11.03  | | | | | | | | 
% 74.50/11.03  | | | | | | | Case 2:
% 74.50/11.03  | | | | | | | | 
% 74.50/11.03  | | | | | | | |   (104)   ~ (all_10_9 = e3)
% 74.50/11.03  | | | | | | | | 
% 74.50/11.03  | | | | | | | | REDUCE: (27), (104) imply:
% 74.50/11.03  | | | | | | | |   (105)   ~ (all_4_15 = e3)
% 74.50/11.03  | | | | | | | | 
% 74.50/11.03  | | | | | | | | REF_CLOSE: (7), (12), (27), (69), (105) are inconsistent by
% 74.50/11.03  | | | | | | | |            sub-proof #63.
% 74.50/11.03  | | | | | | | | 
% 74.50/11.03  | | | | | | | End of split
% 74.50/11.03  | | | | | | | 
% 74.50/11.03  | | | | | | End of split
% 74.50/11.03  | | | | | | 
% 74.50/11.03  | | | | | End of split
% 74.50/11.03  | | | | | 
% 74.50/11.03  | | | | Case 2:
% 74.50/11.03  | | | | | 
% 74.50/11.03  | | | | |   (106)   ~ (all_10_4 = e1)
% 74.50/11.03  | | | | | 
% 74.50/11.03  | | | | | REDUCE: (5), (106) imply:
% 74.50/11.03  | | | | |   (107)   ~ (all_4_10 = e1)
% 74.50/11.03  | | | | | 
% 74.50/11.03  | | | | | REF_CLOSE: (3), (18), (33), (39), (54), (107) are inconsistent by
% 74.50/11.03  | | | | |            sub-proof #161.
% 74.50/11.03  | | | | | 
% 74.50/11.03  | | | | End of split
% 74.50/11.03  | | | | 
% 74.50/11.03  | | | End of split
% 74.50/11.03  | | | 
% 74.50/11.03  | | End of split
% 74.50/11.03  | | 
% 74.50/11.03  | Case 2:
% 74.50/11.03  | | 
% 74.50/11.03  | |   (108)  all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 | all_10_21 = e4
% 74.50/11.03  | | 
% 74.50/11.03  | | REF_CLOSE: (13), (14), (17), (30), (43), (48), (49), (50), (108) are
% 74.50/11.03  | |            inconsistent by sub-proof #28.
% 74.50/11.03  | | 
% 74.50/11.03  | End of split
% 74.50/11.03  | 
% 74.50/11.03  End of proof
% 74.50/11.03  
% 74.50/11.03  Sub-proof #24 shows that the following formulas are inconsistent:
% 74.50/11.03  ----------------------------------------------------------------
% 74.50/11.03    (1)  all_8_20 = e1 &  ~ (all_8_21 = e3)
% 74.50/11.03    (2)   ~ (all_4_10 = e3)
% 74.50/11.03    (3)  all_10_4 = all_4_10
% 74.50/11.03    (4)   ~ (all_4_10 = e0)
% 74.50/11.03    (5)  op(e4, e4) = e2
% 74.50/11.03    (6)   ~ (all_8_27 = e2)
% 74.50/11.03    (7)  all_8_20 = all_4_11
% 74.50/11.03    (8)   ~ (all_4_10 = all_4_11)
% 74.50/11.03    (9)  op(e4, all_4_10) = all_8_27
% 74.50/11.03    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.50/11.03            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.50/11.03    (11)  all_6_2 = all_4_10
% 74.50/11.03    (12)  all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 74.50/11.03          all_10_22 = e4
% 74.50/11.03    (13)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.50/11.03  
% 74.50/11.03  Begin of proof
% 74.50/11.03  | 
% 74.50/11.03  | ALPHA: (1) implies:
% 74.50/11.03  |   (14)  all_8_20 = e1
% 74.50/11.03  | 
% 74.50/11.03  | COMBINE_EQS: (7), (14) imply:
% 74.50/11.03  |   (15)  all_4_11 = e1
% 74.50/11.03  | 
% 74.50/11.03  | SIMP: (15) implies:
% 74.50/11.03  |   (16)  all_4_11 = e1
% 74.50/11.03  | 
% 74.50/11.03  | REDUCE: (8), (16) imply:
% 74.50/11.03  |   (17)   ~ (all_4_10 = e1)
% 74.50/11.03  | 
% 74.50/11.03  | REF_CLOSE: (2), (3), (4), (5), (6), (9), (10), (11), (12), (13), (17) are
% 74.50/11.03  |            inconsistent by sub-proof #160.
% 74.50/11.03  | 
% 74.50/11.03  End of proof
% 74.50/11.03  
% 74.50/11.03  Sub-proof #25 shows that the following formulas are inconsistent:
% 74.50/11.03  ----------------------------------------------------------------
% 74.50/11.03    (1)  all_8_17 = e2 &  ~ (all_8_18 = e3)
% 74.50/11.03    (2)  all_8_17 = all_4_16
% 74.50/11.03    (3)   ~ (all_4_16 = e2)
% 74.50/11.03  
% 74.50/11.03  Begin of proof
% 74.50/11.03  | 
% 74.50/11.03  | ALPHA: (1) implies:
% 74.50/11.03  |   (4)  all_8_17 = e2
% 74.50/11.03  | 
% 74.50/11.03  | COMBINE_EQS: (2), (4) imply:
% 74.50/11.03  |   (5)  all_4_16 = e2
% 74.50/11.03  | 
% 74.50/11.03  | SIMP: (5) implies:
% 74.50/11.03  |   (6)  all_4_16 = e2
% 74.50/11.03  | 
% 74.50/11.03  | REDUCE: (3), (6) imply:
% 74.50/11.03  |   (7)  $false
% 74.50/11.03  | 
% 74.50/11.03  | CLOSE: (7) is inconsistent.
% 74.50/11.03  | 
% 74.50/11.03  End of proof
% 74.50/11.03  
% 74.50/11.03  Sub-proof #26 shows that the following formulas are inconsistent:
% 74.50/11.03  ----------------------------------------------------------------
% 74.50/11.03    (1)   ~ (all_4_19 = e4)
% 74.50/11.03    (2)   ~ (all_4_9 = e0)
% 74.50/11.03    (3)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.50/11.03    (4)  all_10_22 = e2
% 74.50/11.03    (5)  all_10_1 = all_4_5
% 74.50/11.03    (6)  all_10_24 = e1
% 74.50/11.03    (7)  op(e3, all_4_5) = e4
% 74.50/11.03    (8)  all_10_23 = all_4_19
% 74.50/11.03    (9)  all_10_21 = all_4_9
% 74.50/11.03    (10)   ~ (all_4_5 = e1)
% 74.50/11.03    (11)   ~ (all_4_5 = e0)
% 74.50/11.03    (12)  all_10_1 = e3 | all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 |
% 74.50/11.03          all_10_21 = e3
% 74.50/11.03    (13)  all_6_1 = all_4_5
% 74.50/11.03    (14)   ~ (e4 = e2)
% 74.50/11.03    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.50/11.03            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.50/11.03    (16)  all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 74.50/11.03    (17)  op(e3, e3) = e0
% 74.50/11.03    (18)   ~ (e4 = e1)
% 74.50/11.03    (19)   ~ (all_4_5 = all_4_9)
% 74.50/11.03  
% 74.50/11.03  Begin of proof
% 74.50/11.03  | 
% 74.50/11.03  | BETA: splitting (16) gives:
% 74.50/11.03  | 
% 74.50/11.03  | Case 1:
% 74.50/11.03  | | 
% 74.50/11.03  | |   (20)  all_10_21 = e4
% 74.50/11.03  | | 
% 74.50/11.03  | | COMBINE_EQS: (9), (20) imply:
% 74.50/11.03  | |   (21)  all_4_9 = e4
% 74.50/11.03  | | 
% 74.50/11.04  | | SIMP: (21) implies:
% 74.50/11.04  | |   (22)  all_4_9 = e4
% 74.50/11.04  | | 
% 74.50/11.04  | | REDUCE: (19), (22) imply:
% 74.50/11.04  | |   (23)   ~ (all_4_5 = e4)
% 74.50/11.04  | | 
% 74.50/11.04  | | REDUCE: (2), (22) imply:
% 74.50/11.04  | |   (24)   ~ (e4 = e0)
% 74.50/11.04  | | 
% 74.50/11.04  | | REF_CLOSE: (3), (5), (7), (10), (11), (12), (13), (15), (17), (23), (24) are
% 74.50/11.04  | |            inconsistent by sub-proof #38.
% 74.50/11.04  | | 
% 74.50/11.04  | Case 2:
% 74.50/11.04  | | 
% 74.50/11.04  | |   (25)  all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 74.50/11.04  | | 
% 74.50/11.04  | | REF_CLOSE: (1), (4), (6), (8), (14), (18), (25) are inconsistent by
% 74.50/11.04  | |            sub-proof #36.
% 74.50/11.04  | | 
% 74.50/11.04  | End of split
% 74.50/11.04  | 
% 74.50/11.04  End of proof
% 74.50/11.04  
% 74.50/11.04  Sub-proof #27 shows that the following formulas are inconsistent:
% 74.50/11.04  ----------------------------------------------------------------
% 74.50/11.04    (1)   ~ (all_4_19 = e4)
% 74.50/11.04    (2)  all_10_1 = e4 | all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 |
% 74.50/11.04         all_10_21 = e4
% 74.50/11.04    (3)   ~ (all_4_9 = e0)
% 74.50/11.04    (4)   ~ (all_4_10 = e3)
% 74.50/11.04    (5)  all_10_20 = e0 | all_10_21 = e0 | all_10_22 = e0 | all_10_23 = e0
% 74.50/11.04    (6)   ~ (e3 = e2)
% 74.50/11.04    (7)  all_10_4 = all_4_10
% 74.50/11.04    (8)  all_10_22 = e2
% 74.50/11.04    (9)  all_10_20 = e4
% 74.50/11.04    (10)   ~ (all_4_20 = e3)
% 74.50/11.04    (11)  all_10_1 = all_4_5
% 74.50/11.04    (12)  op(e0, e0) = e1
% 74.50/11.04    (13)   ~ (e2 = e0)
% 74.50/11.04    (14)   ~ (all_4_2 = e3)
% 74.50/11.04    (15)  op(e4, all_4_15) = all_8_40
% 74.50/11.04    (16)   ~ (e3 = e1)
% 74.50/11.04    (17)  all_10_16 = all_4_20
% 74.50/11.04    (18)  op(e2, e1) = e2
% 74.50/11.04    (19)   ~ (e4 = e0)
% 74.50/11.04    (20)  all_10_3 = e0
% 74.50/11.04    (21)  all_10_23 = all_4_19
% 74.50/11.04    (22)  all_10_21 = all_4_9
% 74.50/11.04    (23)   ~ (all_4_10 = e0)
% 74.50/11.04    (24)  op(e0, all_4_19) = all_8_50
% 74.50/11.04    (25)  all_6_21 = all_4_9
% 74.50/11.04    (26)  all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 74.50/11.04          all_10_23 = e3
% 74.50/11.04    (27)  all_10_0 = e3 | all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 74.50/11.04          all_10_16 = e3
% 74.50/11.04    (28)   ~ (e4 = e3)
% 74.50/11.04    (29)  all_10_2 = all_4_1
% 74.50/11.04    (30)   ~ (all_4_5 = e0)
% 74.50/11.04    (31)   ~ (all_4_15 = all_4_19)
% 74.50/11.04    (32)  op(e0, all_4_20) = e4
% 74.50/11.04    (33)   ~ (all_4_19 = e1)
% 74.50/11.04    (34)  op(e2, all_4_10) = e4
% 74.50/11.04    (35)  all_10_9 = all_4_15
% 74.50/11.04    (36)   ~ (all_4_9 = e1)
% 74.50/11.04    (37)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 74.50/11.04    (38)   ~ (all_4_9 = e4)
% 74.50/11.04    (39)  all_10_0 = e3 | all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 74.50/11.04          all_10_20 = e3
% 74.50/11.04    (40)  all_10_12 = e1
% 74.50/11.04    (41)  op(e4, all_4_1) = e3
% 74.50/11.04    (42)   ~ (all_4_5 = all_4_10)
% 74.50/11.04    (43)  all_10_13 = e2
% 74.50/11.04    (44)   ~ (e4 = e2)
% 74.50/11.04    (45)  all_10_6 = all_4_2
% 74.50/11.04    (46)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.50/11.04            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.50/11.04    (47)  all_6_2 = all_4_10
% 74.50/11.04    (48)   ~ (e4 = e1)
% 74.50/11.04    (49)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.50/11.04    (50)  all_10_0 = e2
% 74.50/11.04    (51)  all_10_0 = e0 | all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 74.50/11.04          all_10_16 = e0
% 74.50/11.04    (52)   ~ (all_4_10 = e2)
% 74.50/11.04    (53)   ~ (all_4_5 = all_4_9)
% 74.50/11.04    (54)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 74.50/11.04          all_10_22 = e1
% 74.50/11.04    (55)  all_10_7 = e1
% 74.50/11.04    (56)   ~ (all_4_1 = e2)
% 74.50/11.04    (57)  op(e4, e3) = all_4_5
% 74.50/11.04    (58)   ~ (all_4_1 = e4)
% 74.50/11.04  
% 74.50/11.04  Begin of proof
% 74.50/11.04  | 
% 74.50/11.04  | BETA: splitting (39) gives:
% 74.50/11.04  | 
% 74.50/11.04  | Case 1:
% 74.50/11.04  | | 
% 74.50/11.04  | |   (59)  all_10_0 = e3
% 74.50/11.04  | | 
% 74.50/11.04  | | REF_CLOSE: (6), (50), (59) are inconsistent by sub-proof #104.
% 74.50/11.04  | | 
% 74.50/11.04  | Case 2:
% 74.50/11.04  | | 
% 74.50/11.04  | |   (60)  all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3
% 74.50/11.04  | | 
% 74.50/11.04  | | BETA: splitting (60) gives:
% 74.50/11.04  | | 
% 74.50/11.04  | | Case 1:
% 74.50/11.04  | | | 
% 74.50/11.04  | | |   (61)  all_10_2 = e3
% 74.50/11.04  | | | 
% 74.50/11.04  | | | COMBINE_EQS: (29), (61) imply:
% 74.50/11.04  | | |   (62)  all_4_1 = e3
% 74.50/11.04  | | | 
% 74.50/11.04  | | | SIMP: (62) implies:
% 74.50/11.04  | | |   (63)  all_4_1 = e3
% 74.50/11.04  | | | 
% 74.50/11.04  | | | REDUCE: (58), (63) imply:
% 74.50/11.04  | | |   (64)   ~ (e4 = e3)
% 74.50/11.04  | | | 
% 74.50/11.04  | | | REDUCE: (41), (63) imply:
% 74.50/11.04  | | |   (65)  op(e4, e3) = e3
% 74.50/11.04  | | | 
% 74.50/11.04  | | | BETA: splitting (2) gives:
% 74.50/11.04  | | | 
% 74.50/11.04  | | | Case 1:
% 74.50/11.04  | | | | 
% 74.50/11.04  | | | |   (66)  all_10_1 = e4
% 74.50/11.04  | | | | 
% 74.50/11.04  | | | | COMBINE_EQS: (11), (66) imply:
% 74.50/11.04  | | | |   (67)  all_4_5 = e4
% 74.50/11.04  | | | | 
% 74.50/11.04  | | | | REDUCE: (53), (67) imply:
% 74.50/11.04  | | | |   (68)   ~ (all_4_9 = e4)
% 74.50/11.04  | | | | 
% 74.50/11.04  | | | | REDUCE: (42), (67) imply:
% 74.50/11.04  | | | |   (69)   ~ (all_4_10 = e4)
% 74.50/11.04  | | | | 
% 74.50/11.04  | | | | SIMP: (69) implies:
% 74.50/11.04  | | | |   (70)   ~ (all_4_10 = e4)
% 74.50/11.04  | | | | 
% 74.50/11.04  | | | | REDUCE: (57), (67) imply:
% 74.50/11.04  | | | |   (71)  op(e4, e3) = e4
% 74.50/11.04  | | | | 
% 74.50/11.04  | | | | BETA: splitting (27) gives:
% 74.50/11.04  | | | | 
% 74.50/11.04  | | | | Case 1:
% 74.50/11.04  | | | | | 
% 74.50/11.04  | | | | |   (72)  all_10_0 = e3
% 74.50/11.04  | | | | | 
% 74.50/11.04  | | | | | REF_CLOSE: (6), (50), (72) are inconsistent by sub-proof #104.
% 74.50/11.04  | | | | | 
% 74.50/11.04  | | | | Case 2:
% 74.50/11.04  | | | | | 
% 74.50/11.04  | | | | |   (73)  all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3
% 74.50/11.04  | | | | | 
% 74.50/11.04  | | | | | BETA: splitting (5) gives:
% 74.50/11.04  | | | | | 
% 74.50/11.04  | | | | | Case 1:
% 74.50/11.04  | | | | | | 
% 74.50/11.04  | | | | | |   (74)  all_10_20 = e0
% 74.50/11.04  | | | | | | 
% 74.50/11.04  | | | | | | REF_CLOSE: (9), (19), (74) are inconsistent by sub-proof #76.
% 74.50/11.04  | | | | | | 
% 74.50/11.04  | | | | | Case 2:
% 74.50/11.04  | | | | | | 
% 74.50/11.04  | | | | | |   (75)  all_10_21 = e0 | all_10_22 = e0 | all_10_23 = e0
% 74.50/11.04  | | | | | | 
% 74.50/11.04  | | | | | | BETA: splitting (54) gives:
% 74.50/11.04  | | | | | | 
% 74.50/11.04  | | | | | | Case 1:
% 74.50/11.04  | | | | | | | 
% 74.50/11.04  | | | | | | |   (76)  all_10_4 = e1
% 74.50/11.04  | | | | | | | 
% 74.50/11.04  | | | | | | | COMBINE_EQS: (7), (76) imply:
% 74.50/11.04  | | | | | | |   (77)  all_4_10 = e1
% 74.50/11.04  | | | | | | | 
% 74.50/11.04  | | | | | | | REDUCE: (4), (77) imply:
% 74.50/11.04  | | | | | | |   (78)   ~ (e3 = e1)
% 74.50/11.04  | | | | | | | 
% 74.50/11.04  | | | | | | | REDUCE: (52), (77) imply:
% 74.50/11.04  | | | | | | |   (79)   ~ (e2 = e1)
% 74.50/11.04  | | | | | | | 
% 74.50/11.04  | | | | | | | SIMP: (79) implies:
% 74.50/11.04  | | | | | | |   (80)   ~ (e2 = e1)
% 74.50/11.04  | | | | | | | 
% 74.50/11.04  | | | | | | | REDUCE: (34), (77) imply:
% 74.50/11.04  | | | | | | |   (81)  op(e2, e1) = e4
% 74.50/11.04  | | | | | | | 
% 74.50/11.04  | | | | | | | BETA: splitting (73) gives:
% 74.50/11.04  | | | | | | | 
% 74.50/11.04  | | | | | | | Case 1:
% 74.50/11.04  | | | | | | | | 
% 74.50/11.04  | | | | | | | |   (82)  all_10_1 = e3
% 74.50/11.04  | | | | | | | | 
% 74.50/11.04  | | | | | | | | COMBINE_EQS: (66), (82) imply:
% 74.50/11.04  | | | | | | | |   (83)  e4 = e3
% 74.50/11.04  | | | | | | | | 
% 74.50/11.04  | | | | | | | | REDUCE: (28), (83) imply:
% 74.50/11.04  | | | | | | | |   (84)  $false
% 74.50/11.04  | | | | | | | | 
% 74.50/11.04  | | | | | | | | CLOSE: (84) is inconsistent.
% 74.50/11.04  | | | | | | | | 
% 74.50/11.04  | | | | | | | Case 2:
% 74.50/11.04  | | | | | | | | 
% 74.50/11.04  | | | | | | | |   (85)  all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3
% 74.50/11.04  | | | | | | | | 
% 74.50/11.04  | | | | | | | | BETA: splitting (85) gives:
% 74.50/11.04  | | | | | | | | 
% 74.50/11.04  | | | | | | | | Case 1:
% 74.50/11.04  | | | | | | | | | 
% 74.50/11.04  | | | | | | | | |   (86)  all_10_4 = e3
% 74.50/11.04  | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | REF_CLOSE: (16), (76), (86) are inconsistent by sub-proof #31.
% 74.50/11.04  | | | | | | | | | 
% 74.50/11.04  | | | | | | | | Case 2:
% 74.50/11.04  | | | | | | | | | 
% 74.50/11.04  | | | | | | | | |   (87)  all_10_9 = e3 | all_10_16 = e3
% 74.50/11.04  | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | BETA: splitting (37) gives:
% 74.50/11.04  | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | Case 1:
% 74.50/11.04  | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | |   (88)  all_6_21 = e4
% 74.50/11.04  | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | COMBINE_EQS: (25), (88) imply:
% 74.50/11.04  | | | | | | | | | |   (89)  all_4_9 = e4
% 74.50/11.04  | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | REDUCE: (38), (89) imply:
% 74.50/11.04  | | | | | | | | | |   (90)  $false
% 74.50/11.04  | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | CLOSE: (90) is inconsistent.
% 74.50/11.04  | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | Case 2:
% 74.50/11.04  | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | |   (91)  all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 74.50/11.04  | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | BETA: splitting (91) gives:
% 74.50/11.04  | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | Case 1:
% 74.50/11.04  | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | |   (92)  all_6_21 = e1
% 74.50/11.04  | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | COMBINE_EQS: (25), (92) imply:
% 74.50/11.04  | | | | | | | | | | |   (93)  all_4_9 = e1
% 74.50/11.04  | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | REDUCE: (36), (93) imply:
% 74.50/11.04  | | | | | | | | | | |   (94)  $false
% 74.50/11.04  | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | CLOSE: (94) is inconsistent.
% 74.50/11.04  | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | Case 2:
% 74.50/11.04  | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | |   (95)  all_6_21 = e3 | all_6_21 = e0
% 74.50/11.04  | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | BETA: splitting (95) gives:
% 74.50/11.04  | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | Case 1:
% 74.50/11.04  | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | |   (96)  all_6_21 = e3
% 74.50/11.04  | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | COMBINE_EQS: (25), (96) imply:
% 74.50/11.04  | | | | | | | | | | | |   (97)  all_4_9 = e3
% 74.50/11.04  | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | COMBINE_EQS: (22), (97) imply:
% 74.50/11.04  | | | | | | | | | | | |   (98)  all_10_21 = e3
% 74.50/11.04  | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | REDUCE: (3), (97) imply:
% 74.50/11.04  | | | | | | | | | | | |   (99)   ~ (e3 = e0)
% 74.50/11.04  | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | BETA: splitting (26) gives:
% 74.50/11.04  | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | Case 1:
% 74.50/11.04  | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | |   (100)  all_10_9 = e3
% 74.50/11.04  | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | COMBINE_EQS: (35), (100) imply:
% 74.50/11.04  | | | | | | | | | | | | |   (101)  all_4_15 = e3
% 74.50/11.04  | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | REDUCE: (31), (101) imply:
% 74.50/11.04  | | | | | | | | | | | | |   (102)   ~ (all_4_19 = e3)
% 74.50/11.04  | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | SIMP: (102) implies:
% 74.50/11.04  | | | | | | | | | | | | |   (103)   ~ (all_4_19 = e3)
% 74.50/11.04  | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | REDUCE: (15), (101) imply:
% 74.50/11.04  | | | | | | | | | | | | |   (104)  op(e4, e3) = all_8_40
% 74.50/11.04  | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | BETA: splitting (51) gives:
% 74.50/11.04  | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | Case 1:
% 74.50/11.04  | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | |   (105)  all_10_0 = e0
% 74.50/11.04  | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | COMBINE_EQS: (50), (105) imply:
% 74.50/11.04  | | | | | | | | | | | | | |   (106)  e2 = e0
% 74.50/11.04  | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | REDUCE: (13), (106) imply:
% 74.50/11.04  | | | | | | | | | | | | | |   (107)  $false
% 74.50/11.04  | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | CLOSE: (107) is inconsistent.
% 74.50/11.04  | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | Case 2:
% 74.50/11.04  | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | |   (108)   ~ (all_10_0 = e0)
% 74.50/11.04  | | | | | | | | | | | | | |   (109)  all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 74.50/11.04  | | | | | | | | | | | | | |          all_10_16 = e0
% 74.50/11.04  | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | BETA: splitting (75) gives:
% 74.50/11.04  | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | Case 1:
% 74.50/11.04  | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | |   (110)  all_10_21 = e0
% 74.50/11.04  | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | REF_CLOSE: (98), (99), (110) are inconsistent by sub-proof
% 74.50/11.04  | | | | | | | | | | | | | | |            #30.
% 74.50/11.04  | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | Case 2:
% 74.50/11.04  | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | |   (111)  all_10_22 = e0 | all_10_23 = e0
% 74.50/11.04  | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | BETA: splitting (111) gives:
% 74.50/11.04  | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | Case 1:
% 74.50/11.04  | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | |   (112)  all_10_22 = e0
% 74.50/11.04  | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13), (112) are inconsistent by sub-proof
% 74.50/11.04  | | | | | | | | | | | | | | | |            #29.
% 74.50/11.04  | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | Case 2:
% 74.50/11.04  | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | |   (113)  all_10_23 = e0
% 74.50/11.04  | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | COMBINE_EQS: (21), (113) imply:
% 74.50/11.04  | | | | | | | | | | | | | | | |   (114)  all_4_19 = e0
% 74.50/11.04  | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | SIMP: (114) implies:
% 74.50/11.04  | | | | | | | | | | | | | | | |   (115)  all_4_19 = e0
% 74.50/11.04  | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | REDUCE: (1), (115) imply:
% 74.50/11.04  | | | | | | | | | | | | | | | |   (116)   ~ (e4 = e0)
% 74.50/11.04  | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | REDUCE: (103), (115) imply:
% 74.50/11.04  | | | | | | | | | | | | | | | |   (117)   ~ (e3 = e0)
% 74.50/11.04  | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | REDUCE: (33), (115) imply:
% 74.50/11.04  | | | | | | | | | | | | | | | |   (118)   ~ (e1 = e0)
% 74.50/11.04  | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | SIMP: (118) implies:
% 74.50/11.04  | | | | | | | | | | | | | | | |   (119)   ~ (e1 = e0)
% 74.50/11.04  | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | REDUCE: (24), (115) imply:
% 74.50/11.04  | | | | | | | | | | | | | | | |   (120)  op(e0, e0) = all_8_50
% 74.50/11.04  | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 74.50/11.04  | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | Case 1:
% 74.50/11.04  | | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | |   (121)  all_10_1 = e0
% 74.50/11.04  | | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | | COMBINE_EQS: (66), (121) imply:
% 74.50/11.04  | | | | | | | | | | | | | | | | |   (122)  e4 = e0
% 74.50/11.04  | | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | | REDUCE: (19), (122) imply:
% 74.50/11.04  | | | | | | | | | | | | | | | | |   (123)  $false
% 74.50/11.04  | | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | | CLOSE: (123) is inconsistent.
% 74.50/11.04  | | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | Case 2:
% 74.50/11.04  | | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | |   (124)  all_10_4 = e0 | all_10_9 = e0 | all_10_16 = e0
% 74.50/11.04  | | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | | BETA: splitting (124) gives:
% 74.50/11.04  | | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | | Case 1:
% 74.50/11.04  | | | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | | |   (125)  all_10_4 = e0
% 74.50/11.04  | | | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (76), (125) imply:
% 74.50/11.04  | | | | | | | | | | | | | | | | | |   (126)  e1 = e0
% 74.50/11.04  | | | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | | | REDUCE: (119), (126) imply:
% 74.50/11.04  | | | | | | | | | | | | | | | | | |   (127)  $false
% 74.50/11.04  | | | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | | | CLOSE: (127) is inconsistent.
% 74.50/11.04  | | | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | | Case 2:
% 74.50/11.04  | | | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | | |   (128)  all_10_9 = e0 | all_10_16 = e0
% 74.50/11.04  | | | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 74.50/11.04  | | | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | | | Case 1:
% 74.50/11.04  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | | | |   (129)  all_10_9 = e0
% 74.50/11.04  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (100), (129) imply:
% 74.50/11.04  | | | | | | | | | | | | | | | | | | |   (130)  e3 = e0
% 74.50/11.04  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.04  | | | | | | | | | | | | | | | | | | | REDUCE: (99), (130) imply:
% 74.50/11.04  | | | | | | | | | | | | | | | | | | |   (131)  $false
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | CLOSE: (131) is inconsistent.
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | | | | Case 2:
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | | | | |   (132)  all_10_16 = e0
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17), (132) imply:
% 74.50/11.05  | | | | | | | | | | | | | | | | | | |   (133)  all_4_20 = e0
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | REDUCE: (32), (133) imply:
% 74.50/11.05  | | | | | | | | | | | | | | | | | | |   (134)  op(e0, e0) = e4
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (46) with e1, all_8_50, e0, e0,
% 74.50/11.05  | | | | | | | | | | | | | | | | | | |              simplifying with (12), (120) gives:
% 74.50/11.05  | | | | | | | | | | | | | | | | | | |   (135)  all_8_50 = e1
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (46) with e4, all_8_50, e0, e0,
% 74.50/11.05  | | | | | | | | | | | | | | | | | | |              simplifying with (120), (134) gives:
% 74.50/11.05  | | | | | | | | | | | | | | | | | | |   (136)  all_8_50 = e4
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (46) with e2, e4, e1, e2,
% 74.50/11.05  | | | | | | | | | | | | | | | | | | |              simplifying with (18), (81) gives:
% 74.50/11.05  | | | | | | | | | | | | | | | | | | |   (137)  e4 = e2
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (46) with e4, all_8_40, e3, e4,
% 74.50/11.05  | | | | | | | | | | | | | | | | | | |              simplifying with (71), (104) gives:
% 74.50/11.05  | | | | | | | | | | | | | | | | | | |   (138)  all_8_40 = e4
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (46) with e3, all_8_40, e3, e4,
% 74.50/11.05  | | | | | | | | | | | | | | | | | | |              simplifying with (65), (104) gives:
% 74.50/11.05  | | | | | | | | | | | | | | | | | | |   (139)  all_8_40 = e3
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (138), (139) imply:
% 74.50/11.05  | | | | | | | | | | | | | | | | | | |   (140)  e4 = e3
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (135), (136) imply:
% 74.50/11.05  | | | | | | | | | | | | | | | | | | |   (141)  e4 = e1
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (137), (140) imply:
% 74.50/11.05  | | | | | | | | | | | | | | | | | | |   (142)  e3 = e2
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (140), (141) imply:
% 74.50/11.05  | | | | | | | | | | | | | | | | | | |   (143)  e3 = e1
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (142), (143) imply:
% 74.50/11.05  | | | | | | | | | | | | | | | | | | |   (144)  e2 = e1
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | SIMP: (144) implies:
% 74.50/11.05  | | | | | | | | | | | | | | | | | | |   (145)  e2 = e1
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | REDUCE: (80), (145) imply:
% 74.50/11.05  | | | | | | | | | | | | | | | | | | |   (146)  $false
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | CLOSE: (146) is inconsistent.
% 74.50/11.05  | | | | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | | | | End of split
% 74.50/11.05  | | | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | | | End of split
% 74.50/11.05  | | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | | End of split
% 74.50/11.05  | | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | | End of split
% 74.50/11.05  | | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | | End of split
% 74.50/11.05  | | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | End of split
% 74.50/11.05  | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | Case 2:
% 74.50/11.05  | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | |   (147)   ~ (all_10_9 = e3)
% 74.50/11.05  | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | REDUCE: (35), (147) imply:
% 74.50/11.05  | | | | | | | | | | | | |   (148)   ~ (all_4_15 = e3)
% 74.50/11.05  | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | | REF_CLOSE: (10), (17), (35), (87), (148) are inconsistent by
% 74.50/11.05  | | | | | | | | | | | | |            sub-proof #63.
% 74.50/11.05  | | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | End of split
% 74.50/11.05  | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | Case 2:
% 74.50/11.05  | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | |   (149)  all_6_21 = e0
% 74.50/11.05  | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | COMBINE_EQS: (25), (149) imply:
% 74.50/11.05  | | | | | | | | | | | |   (150)  all_4_9 = e0
% 74.50/11.05  | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | REDUCE: (3), (150) imply:
% 74.50/11.05  | | | | | | | | | | | |   (151)  $false
% 74.50/11.05  | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | | CLOSE: (151) is inconsistent.
% 74.50/11.05  | | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | | End of split
% 74.50/11.05  | | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | | End of split
% 74.50/11.05  | | | | | | | | | | 
% 74.50/11.05  | | | | | | | | | End of split
% 74.50/11.05  | | | | | | | | | 
% 74.50/11.05  | | | | | | | | End of split
% 74.50/11.05  | | | | | | | | 
% 74.50/11.05  | | | | | | | End of split
% 74.50/11.05  | | | | | | | 
% 74.50/11.05  | | | | | | Case 2:
% 74.50/11.05  | | | | | | | 
% 74.50/11.05  | | | | | | |   (152)   ~ (all_10_4 = e1)
% 74.50/11.05  | | | | | | | 
% 74.50/11.05  | | | | | | | REDUCE: (7), (152) imply:
% 74.50/11.05  | | | | | | |   (153)   ~ (all_4_10 = e1)
% 74.50/11.05  | | | | | | | 
% 74.50/11.05  | | | | | | | REF_CLOSE: (4), (23), (47), (49), (70), (153) are inconsistent by
% 74.50/11.05  | | | | | | |            sub-proof #161.
% 74.50/11.05  | | | | | | | 
% 74.50/11.05  | | | | | | End of split
% 74.50/11.05  | | | | | | 
% 74.50/11.05  | | | | | End of split
% 74.50/11.05  | | | | | 
% 74.50/11.05  | | | | End of split
% 74.50/11.05  | | | | 
% 74.50/11.05  | | | Case 2:
% 74.50/11.05  | | | | 
% 74.50/11.05  | | | |   (154)  all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 | all_10_21 = e4
% 74.50/11.05  | | | | 
% 74.50/11.05  | | | | REF_CLOSE: (19), (20), (22), (38), (43), (44), (48), (55), (154) are
% 74.50/11.05  | | | |            inconsistent by sub-proof #28.
% 74.50/11.05  | | | | 
% 74.50/11.05  | | | End of split
% 74.50/11.05  | | | 
% 74.50/11.05  | | Case 2:
% 74.50/11.05  | | | 
% 74.50/11.05  | | |   (155)  all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3
% 74.50/11.05  | | | 
% 74.50/11.05  | | | REF_CLOSE: (9), (14), (16), (28), (40), (45), (155) are inconsistent by
% 74.50/11.05  | | |            sub-proof #98.
% 74.50/11.05  | | | 
% 74.50/11.05  | | End of split
% 74.50/11.05  | | 
% 74.50/11.05  | End of split
% 74.50/11.05  | 
% 74.50/11.05  End of proof
% 74.50/11.05  
% 74.50/11.05  Sub-proof #28 shows that the following formulas are inconsistent:
% 74.50/11.05  ----------------------------------------------------------------
% 74.50/11.05    (1)   ~ (e4 = e0)
% 74.50/11.05    (2)  all_10_3 = e0
% 74.50/11.05    (3)  all_10_21 = all_4_9
% 74.50/11.05    (4)   ~ (all_4_9 = e4)
% 74.50/11.05    (5)  all_10_13 = e2
% 74.50/11.05    (6)   ~ (e4 = e2)
% 74.50/11.05    (7)   ~ (e4 = e1)
% 74.50/11.05    (8)  all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 | all_10_21 = e4
% 74.50/11.05    (9)  all_10_7 = e1
% 74.50/11.05  
% 74.50/11.05  Begin of proof
% 74.50/11.05  | 
% 74.50/11.05  | BETA: splitting (8) gives:
% 74.50/11.05  | 
% 74.50/11.05  | Case 1:
% 74.50/11.05  | | 
% 74.50/11.05  | |   (10)  all_10_3 = e4
% 74.50/11.05  | | 
% 74.50/11.05  | | REF_CLOSE: (1), (2), (10) are inconsistent by sub-proof #45.
% 74.50/11.05  | | 
% 74.50/11.05  | Case 2:
% 74.50/11.05  | | 
% 74.50/11.05  | |   (11)  all_10_7 = e4 | all_10_13 = e4 | all_10_21 = e4
% 74.50/11.05  | | 
% 74.50/11.05  | | BETA: splitting (11) gives:
% 74.50/11.05  | | 
% 74.50/11.05  | | Case 1:
% 74.50/11.05  | | | 
% 74.50/11.05  | | |   (12)  all_10_7 = e4
% 74.50/11.05  | | | 
% 74.50/11.05  | | | COMBINE_EQS: (9), (12) imply:
% 74.50/11.05  | | |   (13)  e4 = e1
% 74.50/11.05  | | | 
% 74.50/11.05  | | | SIMP: (13) implies:
% 74.50/11.05  | | |   (14)  e4 = e1
% 74.50/11.05  | | | 
% 74.50/11.05  | | | REDUCE: (7), (14) imply:
% 74.50/11.05  | | |   (15)  $false
% 74.50/11.05  | | | 
% 74.50/11.05  | | | CLOSE: (15) is inconsistent.
% 74.50/11.05  | | | 
% 74.50/11.05  | | Case 2:
% 74.50/11.05  | | | 
% 74.50/11.05  | | |   (16)  all_10_13 = e4 | all_10_21 = e4
% 74.50/11.05  | | | 
% 74.50/11.05  | | | BETA: splitting (16) gives:
% 74.50/11.05  | | | 
% 74.50/11.05  | | | Case 1:
% 74.50/11.05  | | | | 
% 74.50/11.05  | | | |   (17)  all_10_13 = e4
% 74.50/11.05  | | | | 
% 74.50/11.05  | | | | COMBINE_EQS: (5), (17) imply:
% 74.50/11.05  | | | |   (18)  e4 = e2
% 74.50/11.05  | | | | 
% 74.50/11.05  | | | | REDUCE: (6), (18) imply:
% 74.50/11.05  | | | |   (19)  $false
% 74.50/11.05  | | | | 
% 74.50/11.05  | | | | CLOSE: (19) is inconsistent.
% 74.50/11.05  | | | | 
% 74.50/11.05  | | | Case 2:
% 74.50/11.05  | | | | 
% 74.50/11.05  | | | |   (20)  all_10_21 = e4
% 74.50/11.05  | | | | 
% 74.50/11.05  | | | | COMBINE_EQS: (3), (20) imply:
% 74.50/11.05  | | | |   (21)  all_4_9 = e4
% 74.50/11.05  | | | | 
% 74.50/11.05  | | | | SIMP: (21) implies:
% 74.50/11.05  | | | |   (22)  all_4_9 = e4
% 74.50/11.05  | | | | 
% 74.50/11.05  | | | | REDUCE: (4), (22) imply:
% 74.50/11.05  | | | |   (23)  $false
% 74.50/11.05  | | | | 
% 74.50/11.05  | | | | CLOSE: (23) is inconsistent.
% 74.50/11.05  | | | | 
% 74.50/11.05  | | | End of split
% 74.50/11.05  | | | 
% 74.50/11.05  | | End of split
% 74.50/11.05  | | 
% 74.50/11.05  | End of split
% 74.50/11.05  | 
% 74.50/11.05  End of proof
% 74.50/11.05  
% 74.50/11.05  Sub-proof #29 shows that the following formulas are inconsistent:
% 74.50/11.05  ----------------------------------------------------------------
% 74.50/11.05    (1)  all_10_22 = e2
% 74.50/11.05    (2)  all_10_22 = e0
% 74.50/11.05    (3)   ~ (e2 = e0)
% 74.50/11.05  
% 74.50/11.05  Begin of proof
% 74.50/11.05  | 
% 74.50/11.05  | COMBINE_EQS: (1), (2) imply:
% 74.50/11.05  |   (4)  e2 = e0
% 74.50/11.05  | 
% 74.50/11.05  | SIMP: (4) implies:
% 74.50/11.05  |   (5)  e2 = e0
% 74.50/11.05  | 
% 74.50/11.05  | REDUCE: (3), (5) imply:
% 74.50/11.05  |   (6)  $false
% 74.50/11.05  | 
% 74.50/11.05  | CLOSE: (6) is inconsistent.
% 74.50/11.05  | 
% 74.50/11.05  End of proof
% 74.50/11.05  
% 74.50/11.05  Sub-proof #30 shows that the following formulas are inconsistent:
% 74.50/11.05  ----------------------------------------------------------------
% 74.50/11.05    (1)  all_10_21 = e3
% 74.50/11.05    (2)  all_10_21 = e0
% 74.50/11.05    (3)   ~ (e3 = e0)
% 74.50/11.05  
% 74.50/11.05  Begin of proof
% 74.50/11.05  | 
% 74.50/11.05  | COMBINE_EQS: (1), (2) imply:
% 74.50/11.05  |   (4)  e3 = e0
% 74.50/11.05  | 
% 74.50/11.05  | SIMP: (4) implies:
% 74.50/11.05  |   (5)  e3 = e0
% 74.50/11.05  | 
% 74.50/11.05  | REDUCE: (3), (5) imply:
% 74.50/11.05  |   (6)  $false
% 74.50/11.05  | 
% 74.50/11.05  | CLOSE: (6) is inconsistent.
% 74.50/11.05  | 
% 74.50/11.05  End of proof
% 74.50/11.05  
% 74.50/11.05  Sub-proof #31 shows that the following formulas are inconsistent:
% 74.50/11.05  ----------------------------------------------------------------
% 74.50/11.05    (1)  all_10_4 = e3
% 74.50/11.05    (2)  all_10_4 = e1
% 74.50/11.05    (3)   ~ (e3 = e1)
% 74.50/11.05  
% 74.50/11.05  Begin of proof
% 74.50/11.05  | 
% 74.50/11.05  | COMBINE_EQS: (1), (2) imply:
% 74.50/11.05  |   (4)  e3 = e1
% 74.50/11.05  | 
% 74.50/11.05  | SIMP: (4) implies:
% 74.50/11.05  |   (5)  e3 = e1
% 74.50/11.05  | 
% 74.50/11.05  | REDUCE: (3), (5) imply:
% 74.50/11.05  |   (6)  $false
% 74.50/11.05  | 
% 74.50/11.05  | CLOSE: (6) is inconsistent.
% 74.50/11.05  | 
% 74.50/11.05  End of proof
% 74.50/11.05  
% 74.50/11.05  Sub-proof #32 shows that the following formulas are inconsistent:
% 74.50/11.05  ----------------------------------------------------------------
% 74.50/11.05    (1)   ~ (all_4_19 = e4)
% 74.50/11.05    (2)   ~ (all_4_1 = e0)
% 74.50/11.05    (3)  all_10_22 = e2
% 74.50/11.05    (4)  all_10_24 = e1
% 74.50/11.05    (5)  op(e3, e4) = all_4_1
% 74.50/11.05    (6)  op(e3, all_4_9) = e0
% 74.50/11.05    (7)  all_10_23 = all_4_19
% 74.50/11.05    (8)  all_10_21 = all_4_9
% 74.50/11.05    (9)   ~ (e4 = e2)
% 74.50/11.05    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.50/11.05            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.50/11.05    (11)  all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 74.50/11.05    (12)   ~ (e4 = e1)
% 74.50/11.05  
% 74.50/11.05  Begin of proof
% 74.50/11.05  | 
% 74.50/11.05  | BETA: splitting (11) gives:
% 74.50/11.05  | 
% 74.50/11.05  | Case 1:
% 74.50/11.05  | | 
% 74.50/11.05  | |   (13)  all_10_21 = e4
% 74.50/11.05  | | 
% 74.50/11.05  | | COMBINE_EQS: (8), (13) imply:
% 74.50/11.05  | |   (14)  all_4_9 = e4
% 74.50/11.05  | | 
% 74.50/11.05  | | SIMP: (14) implies:
% 74.50/11.05  | |   (15)  all_4_9 = e4
% 74.50/11.05  | | 
% 74.50/11.05  | | REDUCE: (6), (15) imply:
% 74.50/11.05  | |   (16)  op(e3, e4) = e0
% 74.50/11.05  | | 
% 74.50/11.05  | | GROUND_INST: instantiating (10) with all_4_1, e0, e4, e3, simplifying with
% 74.50/11.05  | |              (5), (16) gives:
% 74.50/11.05  | |   (17)  all_4_1 = e0
% 74.50/11.05  | | 
% 74.50/11.05  | | REDUCE: (2), (17) imply:
% 74.50/11.05  | |   (18)  $false
% 74.50/11.05  | | 
% 74.50/11.05  | | CLOSE: (18) is inconsistent.
% 74.50/11.05  | | 
% 74.50/11.05  | Case 2:
% 74.50/11.05  | | 
% 74.50/11.05  | |   (19)  all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 74.50/11.05  | | 
% 74.50/11.05  | | REF_CLOSE: (1), (3), (4), (7), (9), (12), (19) are inconsistent by sub-proof
% 74.50/11.05  | |            #36.
% 74.50/11.05  | | 
% 74.50/11.05  | End of split
% 74.50/11.05  | 
% 74.50/11.05  End of proof
% 74.50/11.05  
% 74.50/11.05  Sub-proof #33 shows that the following formulas are inconsistent:
% 74.50/11.05  ----------------------------------------------------------------
% 74.50/11.05    (1)   ~ (all_4_1 = e0)
% 74.50/11.05    (2)  all_10_8 = e3
% 74.50/11.05    (3)   ~ (all_4_1 = all_4_2)
% 74.50/11.05    (4)  all_10_14 = e0
% 74.50/11.05    (5)  op(e3, all_4_8) = e1
% 74.50/11.05    (6)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 74.50/11.05    (7)   ~ (all_4_11 = e0)
% 74.50/11.05    (8)   ~ (all_4_11 = e3)
% 74.50/11.05    (9)   ~ (e3 = e2)
% 74.50/11.05    (10)  all_10_4 = all_4_10
% 74.50/11.05    (11)  all_10_22 = e2
% 74.50/11.05    (12)  all_10_20 = e4
% 74.50/11.05    (13)  all_10_15 = e4
% 74.50/11.05    (14)   ~ (all_4_20 = all_4_21)
% 74.50/11.05    (15)  all_6_9 = all_4_21
% 74.50/11.05    (16)  all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0
% 74.50/11.05    (17)  all_10_12 = all_4_3
% 74.50/11.05    (18)   ~ (all_4_2 = e3)
% 74.50/11.05    (19)   ~ (e3 = e1)
% 74.50/11.05    (20)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 74.50/11.05    (21)  all_10_16 = all_4_20
% 74.50/11.05    (22)   ~ (e4 = e0)
% 74.50/11.05    (23)   ~ (all_4_2 = all_4_22)
% 74.50/11.05    (24)   ~ (all_4_22 = e1)
% 74.50/11.05    (25)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 74.50/11.05    (26)  all_10_17 = all_4_21
% 74.50/11.05    (27)  all_10_12 = e1 | all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 |
% 74.50/11.05          all_10_19 = e1
% 74.50/11.05    (28)  all_6_5 = all_4_1
% 74.50/11.05    (29)   ~ (e2 = e1)
% 74.50/11.05    (30)   ~ (all_4_1 = all_4_11)
% 74.50/11.05    (31)   ~ (all_4_1 = all_4_21)
% 74.50/11.05    (32)   ~ (e4 = e3)
% 74.50/11.05    (33)  all_10_2 = all_4_1
% 74.50/11.05    (34)   ~ (all_4_3 = e0)
% 74.50/11.05    (35)   ~ (all_4_22 = e3)
% 74.50/11.05    (36)   ~ (all_4_21 = e1)
% 74.50/11.05    (37)   ~ (all_4_10 = e4)
% 74.50/11.05    (38)  all_10_13 = all_4_8
% 74.50/11.05    (39)  all_6_14 = all_4_22
% 74.50/11.05    (40)   ~ (all_4_2 = e2)
% 74.50/11.05    (41)   ~ (all_4_2 = e4)
% 74.50/11.05    (42)  all_10_19 = e2
% 74.50/11.05    (43)  all_10_0 = e3 | all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 74.50/11.05          all_10_20 = e3
% 74.50/11.05    (44)   ~ (e1 = e0)
% 74.50/11.05    (45)   ~ (all_4_21 = e0)
% 74.50/11.05    (46)   ~ (e4 = e2)
% 74.50/11.05    (47)   ~ (all_4_11 = all_4_21)
% 74.50/11.05    (48)  all_10_6 = all_4_2
% 74.50/11.05    (49)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.50/11.05            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.50/11.05    (50)  all_10_5 = all_4_11
% 74.50/11.05    (51)   ~ (e4 = e1)
% 74.50/11.06    (52)  all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 74.50/11.06          all_10_22 = e4
% 74.50/11.06    (53)  all_10_0 = e2
% 74.50/11.06    (54)  all_10_18 = all_4_22
% 74.50/11.06    (55)   ~ (all_4_8 = e2)
% 74.50/11.06    (56)  all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0 | all_10_19 = e0
% 74.50/11.06    (57)  op(e3, e1) = e2
% 74.50/11.06    (58)  all_10_16 = e3 | all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 |
% 74.50/11.06          all_10_24 = e3
% 74.50/11.06  
% 74.50/11.06  Begin of proof
% 74.50/11.06  | 
% 74.50/11.06  | BETA: splitting (52) gives:
% 74.50/11.06  | 
% 74.50/11.06  | Case 1:
% 74.50/11.06  | | 
% 74.50/11.06  | |   (59)  all_10_4 = e4
% 74.50/11.06  | | 
% 74.50/11.06  | | COMBINE_EQS: (10), (59) imply:
% 74.50/11.06  | |   (60)  all_4_10 = e4
% 74.50/11.06  | | 
% 74.50/11.06  | | REDUCE: (37), (60) imply:
% 74.50/11.06  | |   (61)  $false
% 74.50/11.06  | | 
% 74.50/11.06  | | CLOSE: (61) is inconsistent.
% 74.50/11.06  | | 
% 74.50/11.06  | Case 2:
% 74.50/11.06  | | 
% 74.50/11.06  | |   (62)  all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 | all_10_22 = e4
% 74.50/11.06  | | 
% 74.50/11.06  | | BETA: splitting (62) gives:
% 74.50/11.06  | | 
% 74.50/11.06  | | Case 1:
% 74.50/11.06  | | | 
% 74.50/11.06  | | |   (63)  all_10_5 = e4
% 74.50/11.06  | | | 
% 74.50/11.06  | | | COMBINE_EQS: (50), (63) imply:
% 74.50/11.06  | | |   (64)  all_4_11 = e4
% 74.50/11.06  | | | 
% 74.50/11.06  | | | SIMP: (64) implies:
% 74.50/11.06  | | |   (65)  all_4_11 = e4
% 74.50/11.06  | | | 
% 74.50/11.06  | | | REDUCE: (30), (65) imply:
% 74.50/11.06  | | |   (66)   ~ (all_4_1 = e4)
% 74.50/11.06  | | | 
% 74.50/11.06  | | | REDUCE: (47), (65) imply:
% 74.50/11.06  | | |   (67)   ~ (all_4_21 = e4)
% 74.50/11.06  | | | 
% 74.50/11.06  | | | SIMP: (67) implies:
% 74.50/11.06  | | |   (68)   ~ (all_4_21 = e4)
% 74.50/11.06  | | | 
% 74.50/11.06  | | | BETA: splitting (16) gives:
% 74.50/11.06  | | | 
% 74.50/11.06  | | | Case 1:
% 74.50/11.06  | | | | 
% 74.50/11.06  | | | |   (69)  all_10_2 = e0
% 74.50/11.06  | | | | 
% 74.50/11.06  | | | | REF_CLOSE: (1), (33), (69) are inconsistent by sub-proof #119.
% 74.50/11.06  | | | | 
% 74.50/11.06  | | | Case 2:
% 74.50/11.06  | | | | 
% 74.50/11.06  | | | |   (70)  all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0
% 74.50/11.06  | | | | 
% 74.50/11.06  | | | | BETA: splitting (6) gives:
% 74.50/11.06  | | | | 
% 74.50/11.06  | | | | Case 1:
% 74.50/11.06  | | | | | 
% 74.50/11.06  | | | | |   (71)  all_6_5 = e4
% 74.50/11.06  | | | | | 
% 74.50/11.06  | | | | | REF_CLOSE: (28), (66), (71) are inconsistent by sub-proof #81.
% 74.50/11.06  | | | | | 
% 74.50/11.06  | | | | Case 2:
% 74.50/11.06  | | | | | 
% 74.50/11.06  | | | | |   (72)  all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 74.50/11.06  | | | | | 
% 74.50/11.06  | | | | | BETA: splitting (72) gives:
% 74.50/11.06  | | | | | 
% 74.50/11.06  | | | | | Case 1:
% 74.50/11.06  | | | | | | 
% 74.50/11.06  | | | | | |   (73)  all_6_5 = e1
% 74.50/11.06  | | | | | | 
% 74.50/11.06  | | | | | | COMBINE_EQS: (28), (73) imply:
% 74.50/11.06  | | | | | |   (74)  all_4_1 = e1
% 74.50/11.06  | | | | | | 
% 74.50/11.06  | | | | | | SIMP: (74) implies:
% 74.50/11.06  | | | | | |   (75)  all_4_1 = e1
% 74.50/11.06  | | | | | | 
% 74.50/11.06  | | | | | | COMBINE_EQS: (33), (75) imply:
% 74.50/11.06  | | | | | |   (76)  all_10_2 = e1
% 74.50/11.06  | | | | | | 
% 74.50/11.06  | | | | | | BETA: splitting (43) gives:
% 74.50/11.06  | | | | | | 
% 74.50/11.06  | | | | | | Case 1:
% 74.50/11.06  | | | | | | | 
% 74.50/11.06  | | | | | | |   (77)  all_10_0 = e3
% 74.50/11.06  | | | | | | | 
% 74.50/11.06  | | | | | | | REF_CLOSE: (9), (53), (77) are inconsistent by sub-proof #104.
% 74.50/11.06  | | | | | | | 
% 74.50/11.06  | | | | | | Case 2:
% 74.50/11.06  | | | | | | | 
% 74.50/11.06  | | | | | | |   (78)  all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 | all_10_20
% 74.50/11.06  | | | | | | |         = e3
% 74.50/11.06  | | | | | | | 
% 74.50/11.06  | | | | | | | BETA: splitting (78) gives:
% 74.50/11.06  | | | | | | | 
% 74.50/11.06  | | | | | | | Case 1:
% 74.50/11.06  | | | | | | | | 
% 74.50/11.06  | | | | | | | |   (79)  all_10_2 = e3
% 74.50/11.06  | | | | | | | | 
% 74.50/11.06  | | | | | | | | COMBINE_EQS: (76), (79) imply:
% 74.50/11.06  | | | | | | | |   (80)  e3 = e1
% 74.50/11.06  | | | | | | | | 
% 74.50/11.06  | | | | | | | | REDUCE: (19), (80) imply:
% 74.50/11.06  | | | | | | | |   (81)  $false
% 74.50/11.06  | | | | | | | | 
% 74.50/11.06  | | | | | | | | CLOSE: (81) is inconsistent.
% 74.50/11.06  | | | | | | | | 
% 74.50/11.06  | | | | | | | Case 2:
% 74.50/11.06  | | | | | | | | 
% 74.50/11.06  | | | | | | | |   (82)   ~ (all_10_2 = e3)
% 74.50/11.06  | | | | | | | |   (83)  all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3
% 74.50/11.06  | | | | | | | | 
% 74.50/11.06  | | | | | | | | REDUCE: (76), (82) imply:
% 74.50/11.06  | | | | | | | |   (84)   ~ (e3 = e1)
% 74.50/11.06  | | | | | | | | 
% 74.50/11.06  | | | | | | | | BETA: splitting (83) gives:
% 74.50/11.06  | | | | | | | | 
% 74.50/11.06  | | | | | | | | Case 1:
% 74.50/11.06  | | | | | | | | | 
% 74.50/11.06  | | | | | | | | |   (85)  all_10_6 = e3
% 74.50/11.06  | | | | | | | | | 
% 74.50/11.06  | | | | | | | | | REF_CLOSE: (18), (48), (85) are inconsistent by sub-proof
% 74.50/11.06  | | | | | | | | |            #100.
% 74.50/11.06  | | | | | | | | | 
% 74.50/11.06  | | | | | | | | Case 2:
% 74.50/11.06  | | | | | | | | | 
% 74.50/11.06  | | | | | | | | |   (86)  all_10_12 = e3 | all_10_20 = e3
% 74.50/11.06  | | | | | | | | | 
% 74.50/11.06  | | | | | | | | | BETA: splitting (27) gives:
% 74.50/11.06  | | | | | | | | | 
% 74.50/11.06  | | | | | | | | | Case 1:
% 74.50/11.06  | | | | | | | | | | 
% 74.50/11.06  | | | | | | | | | |   (87)  all_10_12 = e1
% 74.50/11.06  | | | | | | | | | | 
% 74.50/11.06  | | | | | | | | | | REF_CLOSE: (12), (19), (32), (86), (87) are inconsistent by
% 74.50/11.06  | | | | | | | | | |            sub-proof #99.
% 74.50/11.06  | | | | | | | | | | 
% 74.50/11.06  | | | | | | | | | Case 2:
% 74.50/11.06  | | | | | | | | | | 
% 74.50/11.06  | | | | | | | | | |   (88)  all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 |
% 74.50/11.06  | | | | | | | | | |         all_10_19 = e1
% 74.50/11.06  | | | | | | | | | | 
% 74.50/11.06  | | | | | | | | | | REF_CLOSE: (4), (5), (13), (29), (38), (42), (44), (49),
% 74.50/11.06  | | | | | | | | | |            (51), (55), (57), (88) are inconsistent by
% 74.50/11.06  | | | | | | | | | |            sub-proof #34.
% 74.50/11.06  | | | | | | | | | | 
% 74.50/11.06  | | | | | | | | | End of split
% 74.50/11.06  | | | | | | | | | 
% 74.50/11.06  | | | | | | | | End of split
% 74.50/11.06  | | | | | | | | 
% 74.50/11.06  | | | | | | | End of split
% 74.50/11.06  | | | | | | | 
% 74.50/11.06  | | | | | | End of split
% 74.50/11.06  | | | | | | 
% 74.50/11.06  | | | | | Case 2:
% 74.50/11.06  | | | | | | 
% 74.50/11.06  | | | | | |   (89)  all_6_5 = e3 | all_6_5 = e0
% 74.50/11.06  | | | | | | 
% 74.50/11.06  | | | | | | REF_CLOSE: (3), (12), (14), (15), (17), (18), (20), (21), (22),
% 74.50/11.06  | | | | | |            (23), (24), (25), (26), (28), (31), (34), (35), (36),
% 74.50/11.06  | | | | | |            (39), (40), (41), (42), (45), (48), (54), (56), (58),
% 74.50/11.06  | | | | | |            (68), (70), (89) are inconsistent by sub-proof #47.
% 74.50/11.06  | | | | | | 
% 74.50/11.06  | | | | | End of split
% 74.50/11.06  | | | | | 
% 74.50/11.06  | | | | End of split
% 74.50/11.06  | | | | 
% 74.50/11.06  | | | End of split
% 74.50/11.06  | | | 
% 74.50/11.06  | | Case 2:
% 74.50/11.06  | | | 
% 74.50/11.06  | | |   (90)  all_10_8 = e4 | all_10_14 = e4 | all_10_22 = e4
% 74.50/11.06  | | | 
% 74.50/11.06  | | | REF_CLOSE: (2), (4), (11), (22), (32), (46), (90) are inconsistent by
% 74.50/11.06  | | |            sub-proof #115.
% 74.50/11.06  | | | 
% 74.50/11.06  | | End of split
% 74.50/11.06  | | 
% 74.50/11.06  | End of split
% 74.50/11.06  | 
% 74.50/11.06  End of proof
% 74.50/11.06  
% 74.50/11.06  Sub-proof #34 shows that the following formulas are inconsistent:
% 74.50/11.06  ----------------------------------------------------------------
% 74.50/11.06    (1)  all_10_14 = e0
% 74.50/11.06    (2)  op(e3, all_4_8) = e1
% 74.50/11.06    (3)  all_10_15 = e4
% 74.50/11.06    (4)  all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 | all_10_19 = e1
% 74.50/11.06    (5)   ~ (e2 = e1)
% 74.50/11.06    (6)  all_10_13 = all_4_8
% 74.50/11.06    (7)  all_10_19 = e2
% 74.50/11.06    (8)   ~ (e1 = e0)
% 74.50/11.06    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.50/11.06           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.50/11.06    (10)   ~ (e4 = e1)
% 74.50/11.06    (11)   ~ (all_4_8 = e2)
% 74.50/11.06    (12)  op(e3, e1) = e2
% 74.50/11.06  
% 74.50/11.06  Begin of proof
% 74.50/11.06  | 
% 74.50/11.06  | BETA: splitting (4) gives:
% 74.50/11.06  | 
% 74.50/11.06  | Case 1:
% 74.50/11.06  | | 
% 74.50/11.06  | |   (13)  all_10_13 = e1
% 74.50/11.06  | | 
% 74.50/11.06  | | COMBINE_EQS: (6), (13) imply:
% 74.50/11.06  | |   (14)  all_4_8 = e1
% 74.50/11.06  | | 
% 74.50/11.06  | | SIMP: (14) implies:
% 74.50/11.06  | |   (15)  all_4_8 = e1
% 74.50/11.06  | | 
% 74.50/11.06  | | REDUCE: (11), (15) imply:
% 74.50/11.06  | |   (16)   ~ (e2 = e1)
% 74.50/11.06  | | 
% 74.50/11.06  | | REDUCE: (2), (15) imply:
% 74.50/11.06  | |   (17)  op(e3, e1) = e1
% 74.50/11.06  | | 
% 74.50/11.06  | | GROUND_INST: instantiating (9) with e2, e1, e1, e3, simplifying with (12),
% 74.50/11.06  | |              (17) gives:
% 74.50/11.06  | |   (18)  e2 = e1
% 74.50/11.06  | | 
% 74.50/11.06  | | REDUCE: (5), (18) imply:
% 74.50/11.06  | |   (19)  $false
% 74.50/11.06  | | 
% 74.50/11.06  | | CLOSE: (19) is inconsistent.
% 74.50/11.06  | | 
% 74.50/11.06  | Case 2:
% 74.50/11.06  | | 
% 74.50/11.06  | |   (20)  all_10_14 = e1 | all_10_15 = e1 | all_10_19 = e1
% 74.50/11.06  | | 
% 74.50/11.06  | | REF_CLOSE: (1), (3), (5), (7), (8), (10), (20) are inconsistent by sub-proof
% 74.50/11.06  | |            #58.
% 74.50/11.06  | | 
% 74.50/11.06  | End of split
% 74.50/11.06  | 
% 74.50/11.06  End of proof
% 74.50/11.06  
% 74.50/11.06  Sub-proof #35 shows that the following formulas are inconsistent:
% 74.50/11.06  ----------------------------------------------------------------
% 74.50/11.06    (1)  all_8_17 = e2 &  ~ (all_8_18 = e3)
% 74.50/11.06    (2)  all_8_17 = all_4_11
% 74.50/11.06    (3)   ~ (all_4_11 = e2)
% 74.50/11.06  
% 74.50/11.06  Begin of proof
% 74.50/11.06  | 
% 74.50/11.06  | ALPHA: (1) implies:
% 74.50/11.06  |   (4)  all_8_17 = e2
% 74.50/11.06  | 
% 74.50/11.06  | COMBINE_EQS: (2), (4) imply:
% 74.50/11.06  |   (5)  all_4_11 = e2
% 74.50/11.06  | 
% 74.50/11.06  | SIMP: (5) implies:
% 74.50/11.06  |   (6)  all_4_11 = e2
% 74.50/11.06  | 
% 74.50/11.06  | REDUCE: (3), (6) imply:
% 74.50/11.06  |   (7)  $false
% 74.50/11.06  | 
% 74.50/11.06  | CLOSE: (7) is inconsistent.
% 74.50/11.06  | 
% 74.50/11.06  End of proof
% 74.50/11.06  
% 74.50/11.06  Sub-proof #36 shows that the following formulas are inconsistent:
% 74.50/11.06  ----------------------------------------------------------------
% 74.50/11.06    (1)   ~ (all_4_19 = e4)
% 74.50/11.06    (2)  all_10_22 = e2
% 74.50/11.06    (3)  all_10_24 = e1
% 74.50/11.06    (4)  all_10_23 = all_4_19
% 74.50/11.06    (5)  all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 74.50/11.06    (6)   ~ (e4 = e2)
% 74.50/11.06    (7)   ~ (e4 = e1)
% 74.50/11.06  
% 74.50/11.06  Begin of proof
% 74.50/11.06  | 
% 74.50/11.06  | BETA: splitting (5) gives:
% 74.50/11.06  | 
% 74.50/11.06  | Case 1:
% 74.50/11.06  | | 
% 74.50/11.06  | |   (8)  all_10_22 = e4
% 74.50/11.06  | | 
% 74.50/11.06  | | COMBINE_EQS: (2), (8) imply:
% 74.50/11.06  | |   (9)  e4 = e2
% 74.50/11.06  | | 
% 74.50/11.06  | | REDUCE: (6), (9) imply:
% 74.50/11.06  | |   (10)  $false
% 74.50/11.06  | | 
% 74.50/11.06  | | CLOSE: (10) is inconsistent.
% 74.50/11.06  | | 
% 74.50/11.06  | Case 2:
% 74.50/11.06  | | 
% 74.50/11.06  | |   (11)  all_10_23 = e4 | all_10_24 = e4
% 74.50/11.06  | | 
% 74.50/11.06  | | BETA: splitting (11) gives:
% 74.50/11.06  | | 
% 74.50/11.06  | | Case 1:
% 74.50/11.06  | | | 
% 74.50/11.06  | | |   (12)  all_10_23 = e4
% 74.50/11.06  | | | 
% 74.50/11.06  | | | COMBINE_EQS: (4), (12) imply:
% 74.50/11.06  | | |   (13)  all_4_19 = e4
% 74.50/11.06  | | | 
% 74.50/11.06  | | | SIMP: (13) implies:
% 74.50/11.06  | | |   (14)  all_4_19 = e4
% 74.50/11.06  | | | 
% 74.50/11.06  | | | REDUCE: (1), (14) imply:
% 74.50/11.06  | | |   (15)  $false
% 74.50/11.06  | | | 
% 74.50/11.06  | | | CLOSE: (15) is inconsistent.
% 74.50/11.06  | | | 
% 74.50/11.06  | | Case 2:
% 74.50/11.06  | | | 
% 74.50/11.06  | | |   (16)  all_10_24 = e4
% 74.50/11.06  | | | 
% 74.50/11.06  | | | COMBINE_EQS: (3), (16) imply:
% 74.50/11.06  | | |   (17)  e4 = e1
% 74.50/11.06  | | | 
% 74.50/11.06  | | | REDUCE: (7), (17) imply:
% 74.50/11.06  | | |   (18)  $false
% 74.50/11.06  | | | 
% 74.50/11.06  | | | CLOSE: (18) is inconsistent.
% 74.50/11.06  | | | 
% 74.50/11.06  | | End of split
% 74.50/11.06  | | 
% 74.50/11.06  | End of split
% 74.50/11.06  | 
% 74.50/11.06  End of proof
% 74.50/11.06  
% 74.50/11.06  Sub-proof #37 shows that the following formulas are inconsistent:
% 74.50/11.06  ----------------------------------------------------------------
% 74.50/11.06    (1)  all_10_14 = e0
% 74.50/11.06    (2)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.50/11.06    (3)  all_10_1 = all_4_5
% 74.50/11.06    (4)  all_10_15 = e4
% 74.50/11.06    (5)  op(e3, all_4_5) = e4
% 74.50/11.06    (6)   ~ (e4 = e0)
% 74.50/11.06    (7)  all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 | all_10_19 = e1
% 74.50/11.06    (8)   ~ (e2 = e1)
% 74.50/11.06    (9)   ~ (all_4_5 = e0)
% 74.50/11.06    (10)  all_10_13 = all_4_8
% 74.50/11.06    (11)  all_10_1 = e3 | all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 |
% 74.50/11.06          all_10_21 = e3
% 74.50/11.06    (12)  all_10_19 = e2
% 74.50/11.06    (13)   ~ (e1 = e0)
% 74.50/11.06    (14)   ~ (all_4_5 = e4)
% 74.50/11.06    (15)  all_6_1 = all_4_5
% 74.50/11.06    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.50/11.06            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.50/11.06    (17)  op(e3, e3) = e0
% 74.50/11.06    (18)   ~ (e4 = e1)
% 74.50/11.06    (19)   ~ (all_4_5 = all_4_8)
% 74.50/11.06  
% 74.50/11.06  Begin of proof
% 74.50/11.06  | 
% 74.50/11.06  | BETA: splitting (7) gives:
% 74.50/11.06  | 
% 74.50/11.06  | Case 1:
% 74.50/11.06  | | 
% 74.50/11.06  | |   (20)  all_10_13 = e1
% 74.50/11.06  | | 
% 74.50/11.06  | | COMBINE_EQS: (10), (20) imply:
% 74.50/11.06  | |   (21)  all_4_8 = e1
% 74.50/11.06  | | 
% 74.50/11.06  | | SIMP: (21) implies:
% 74.50/11.06  | |   (22)  all_4_8 = e1
% 74.50/11.06  | | 
% 74.50/11.06  | | REDUCE: (19), (22) imply:
% 74.50/11.06  | |   (23)   ~ (all_4_5 = e1)
% 74.50/11.06  | | 
% 74.50/11.06  | | REF_CLOSE: (2), (3), (5), (6), (9), (11), (14), (15), (16), (17), (23) are
% 74.50/11.06  | |            inconsistent by sub-proof #38.
% 74.50/11.06  | | 
% 74.50/11.06  | Case 2:
% 74.50/11.06  | | 
% 74.50/11.06  | |   (24)  all_10_14 = e1 | all_10_15 = e1 | all_10_19 = e1
% 74.50/11.06  | | 
% 74.50/11.06  | | REF_CLOSE: (1), (4), (8), (12), (13), (18), (24) are inconsistent by
% 74.50/11.06  | |            sub-proof #58.
% 74.50/11.06  | | 
% 74.50/11.06  | End of split
% 74.50/11.06  | 
% 74.50/11.06  End of proof
% 74.50/11.06  
% 74.50/11.06  Sub-proof #38 shows that the following formulas are inconsistent:
% 74.50/11.06  ----------------------------------------------------------------
% 74.50/11.06    (1)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.50/11.06    (2)  all_10_1 = all_4_5
% 74.50/11.06    (3)  op(e3, all_4_5) = e4
% 74.50/11.06    (4)   ~ (e4 = e0)
% 74.50/11.06    (5)   ~ (all_4_5 = e1)
% 74.50/11.06    (6)   ~ (all_4_5 = e0)
% 74.50/11.06    (7)  all_10_1 = e3 | all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 |
% 74.50/11.06         all_10_21 = e3
% 74.50/11.06    (8)   ~ (all_4_5 = e4)
% 74.50/11.06    (9)  all_6_1 = all_4_5
% 74.50/11.07    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.50/11.07            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.50/11.07    (11)  op(e3, e3) = e0
% 74.50/11.07  
% 74.50/11.07  Begin of proof
% 74.50/11.07  | 
% 74.50/11.07  | BETA: splitting (7) gives:
% 74.50/11.07  | 
% 74.50/11.07  | Case 1:
% 74.50/11.07  | | 
% 74.50/11.07  | |   (12)  all_10_1 = e3
% 74.50/11.07  | | 
% 74.50/11.07  | | COMBINE_EQS: (2), (12) imply:
% 74.50/11.07  | |   (13)  all_4_5 = e3
% 74.50/11.07  | | 
% 74.50/11.07  | | REDUCE: (3), (13) imply:
% 74.50/11.07  | |   (14)  op(e3, e3) = e4
% 74.50/11.07  | | 
% 74.50/11.07  | | GROUND_INST: instantiating (10) with e0, e4, e3, e3, simplifying with (11),
% 74.50/11.07  | |              (14) gives:
% 74.50/11.07  | |   (15)  e4 = e0
% 74.50/11.07  | | 
% 74.50/11.07  | | REDUCE: (4), (15) imply:
% 74.50/11.07  | |   (16)  $false
% 74.50/11.07  | | 
% 74.50/11.07  | | CLOSE: (16) is inconsistent.
% 74.50/11.07  | | 
% 74.50/11.07  | Case 2:
% 74.50/11.07  | | 
% 74.50/11.07  | |   (17)   ~ (all_10_1 = e3)
% 74.50/11.07  | | 
% 74.50/11.07  | | REDUCE: (2), (17) imply:
% 74.50/11.07  | |   (18)   ~ (all_4_5 = e3)
% 74.50/11.07  | | 
% 74.50/11.07  | | REF_CLOSE: (1), (5), (6), (8), (9), (18) are inconsistent by sub-proof #134.
% 74.50/11.07  | | 
% 74.50/11.07  | End of split
% 74.50/11.07  | 
% 74.50/11.07  End of proof
% 74.50/11.07  
% 74.50/11.07  Sub-proof #39 shows that the following formulas are inconsistent:
% 74.50/11.07  ----------------------------------------------------------------
% 74.50/11.07    (1)  all_10_14 = e0
% 74.50/11.07    (2)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.50/11.07    (3)   ~ (all_4_10 = e3)
% 74.50/11.07    (4)   ~ (e3 = e2)
% 74.50/11.07    (5)  all_10_4 = all_4_10
% 74.50/11.07    (6)  all_10_15 = e4
% 74.50/11.07    (7)   ~ (e3 = e1)
% 74.50/11.07    (8)   ~ (all_4_10 = e0)
% 74.50/11.07    (9)  op(e4, e4) = e2
% 74.50/11.07    (10)   ~ (all_8_27 = e2)
% 74.50/11.07    (11)   ~ (e4 = e3)
% 74.50/11.07    (12)   ~ (all_4_5 = e0)
% 74.50/11.07    (13)  all_10_13 = all_4_8
% 74.50/11.07    (14)  all_10_12 = e3 | all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 |
% 74.50/11.07          all_10_19 = e3
% 74.50/11.07    (15)  all_10_19 = e2
% 74.50/11.07    (16)  all_10_12 = e1
% 74.50/11.07    (17)   ~ (all_4_5 = e4)
% 74.50/11.07    (18)  all_6_1 = all_4_5
% 74.50/11.07    (19)   ~ (all_4_5 = all_4_10)
% 74.50/11.07    (20)  op(e4, all_4_10) = all_8_27
% 74.50/11.07    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.50/11.07            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.50/11.07    (22)  all_6_2 = all_4_10
% 74.50/11.07    (23)  all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 74.50/11.07          all_10_22 = e4
% 74.50/11.07    (24)   ~ (e3 = e0)
% 74.50/11.07    (25)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.50/11.07    (26)   ~ (all_4_5 = all_4_8)
% 74.50/11.07    (27)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 74.50/11.07          all_10_22 = e1
% 74.50/11.07  
% 74.50/11.07  Begin of proof
% 74.50/11.07  | 
% 74.50/11.07  | BETA: splitting (14) gives:
% 74.50/11.07  | 
% 74.50/11.07  | Case 1:
% 74.50/11.07  | | 
% 74.50/11.07  | |   (28)  all_10_12 = e3
% 74.50/11.07  | | 
% 74.50/11.07  | | COMBINE_EQS: (16), (28) imply:
% 74.50/11.07  | |   (29)  e3 = e1
% 74.50/11.07  | | 
% 74.50/11.07  | | REDUCE: (7), (29) imply:
% 74.50/11.07  | |   (30)  $false
% 74.50/11.07  | | 
% 74.50/11.07  | | CLOSE: (30) is inconsistent.
% 74.50/11.07  | | 
% 74.50/11.07  | Case 2:
% 74.50/11.07  | | 
% 74.50/11.07  | |   (31)  all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3
% 74.50/11.07  | | 
% 74.50/11.07  | | BETA: splitting (31) gives:
% 74.50/11.07  | | 
% 74.50/11.07  | | Case 1:
% 74.50/11.07  | | | 
% 74.50/11.07  | | |   (32)  all_10_13 = e3
% 74.50/11.07  | | | 
% 74.50/11.07  | | | COMBINE_EQS: (13), (32) imply:
% 74.50/11.07  | | |   (33)  all_4_8 = e3
% 74.50/11.07  | | | 
% 74.50/11.07  | | | SIMP: (33) implies:
% 74.50/11.07  | | |   (34)  all_4_8 = e3
% 74.50/11.07  | | | 
% 74.50/11.07  | | | REDUCE: (26), (34) imply:
% 74.50/11.07  | | |   (35)   ~ (all_4_5 = e3)
% 74.50/11.07  | | | 
% 74.50/11.07  | | | BETA: splitting (27) gives:
% 74.50/11.07  | | | 
% 74.50/11.07  | | | Case 1:
% 74.50/11.07  | | | | 
% 74.50/11.07  | | | |   (36)  all_10_4 = e1
% 74.50/11.07  | | | | 
% 74.50/11.07  | | | | COMBINE_EQS: (5), (36) imply:
% 74.50/11.07  | | | |   (37)  all_4_10 = e1
% 74.50/11.07  | | | | 
% 74.50/11.07  | | | | REDUCE: (19), (37) imply:
% 74.50/11.07  | | | |   (38)   ~ (all_4_5 = e1)
% 74.50/11.07  | | | | 
% 74.50/11.07  | | | | REF_CLOSE: (2), (12), (17), (18), (35), (38) are inconsistent by
% 74.50/11.07  | | | |            sub-proof #134.
% 74.50/11.07  | | | | 
% 74.50/11.07  | | | Case 2:
% 74.50/11.07  | | | | 
% 74.50/11.07  | | | |   (39)   ~ (all_10_4 = e1)
% 74.50/11.07  | | | | 
% 74.50/11.07  | | | | REDUCE: (5), (39) imply:
% 74.50/11.07  | | | |   (40)   ~ (all_4_10 = e1)
% 74.50/11.07  | | | | 
% 74.50/11.07  | | | | REF_CLOSE: (3), (5), (8), (9), (10), (20), (21), (22), (23), (25), (40)
% 74.50/11.07  | | | |            are inconsistent by sub-proof #160.
% 74.50/11.07  | | | | 
% 74.50/11.07  | | | End of split
% 74.50/11.07  | | | 
% 74.50/11.07  | | Case 2:
% 74.50/11.07  | | | 
% 74.50/11.07  | | |   (41)  all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3
% 74.50/11.07  | | | 
% 74.50/11.07  | | | REF_CLOSE: (1), (4), (6), (11), (15), (24), (41) are inconsistent by
% 74.50/11.07  | | |            sub-proof #40.
% 74.50/11.07  | | | 
% 74.50/11.07  | | End of split
% 74.50/11.07  | | 
% 74.50/11.07  | End of split
% 74.50/11.07  | 
% 74.50/11.07  End of proof
% 74.50/11.07  
% 74.50/11.07  Sub-proof #40 shows that the following formulas are inconsistent:
% 74.50/11.07  ----------------------------------------------------------------
% 74.50/11.07    (1)  all_10_14 = e0
% 74.50/11.07    (2)   ~ (e3 = e2)
% 74.50/11.07    (3)  all_10_15 = e4
% 74.50/11.07    (4)  all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3
% 74.50/11.07    (5)   ~ (e4 = e3)
% 74.50/11.07    (6)  all_10_19 = e2
% 74.50/11.07    (7)   ~ (e3 = e0)
% 74.50/11.07  
% 74.50/11.07  Begin of proof
% 74.50/11.07  | 
% 74.50/11.07  | BETA: splitting (4) gives:
% 74.50/11.07  | 
% 74.50/11.07  | Case 1:
% 74.50/11.07  | | 
% 74.50/11.07  | |   (8)  all_10_14 = e3
% 74.50/11.07  | | 
% 74.50/11.07  | | COMBINE_EQS: (1), (8) imply:
% 74.50/11.07  | |   (9)  e3 = e0
% 74.50/11.07  | | 
% 74.50/11.07  | | REDUCE: (7), (9) imply:
% 74.50/11.07  | |   (10)  $false
% 74.50/11.07  | | 
% 74.50/11.07  | | CLOSE: (10) is inconsistent.
% 74.50/11.07  | | 
% 74.50/11.07  | Case 2:
% 74.50/11.07  | | 
% 74.50/11.07  | |   (11)  all_10_15 = e3 | all_10_19 = e3
% 74.50/11.07  | | 
% 74.50/11.07  | | BETA: splitting (11) gives:
% 74.50/11.07  | | 
% 74.50/11.07  | | Case 1:
% 74.50/11.07  | | | 
% 74.50/11.07  | | |   (12)  all_10_15 = e3
% 74.50/11.07  | | | 
% 74.50/11.07  | | | COMBINE_EQS: (3), (12) imply:
% 74.50/11.07  | | |   (13)  e4 = e3
% 74.50/11.07  | | | 
% 74.50/11.07  | | | REDUCE: (5), (13) imply:
% 74.50/11.07  | | |   (14)  $false
% 74.50/11.07  | | | 
% 74.50/11.07  | | | CLOSE: (14) is inconsistent.
% 74.50/11.07  | | | 
% 74.50/11.07  | | Case 2:
% 74.50/11.07  | | | 
% 74.50/11.07  | | |   (15)  all_10_19 = e3
% 74.50/11.07  | | | 
% 74.50/11.07  | | | COMBINE_EQS: (6), (15) imply:
% 74.50/11.07  | | |   (16)  e3 = e2
% 74.50/11.07  | | | 
% 74.50/11.07  | | | REDUCE: (2), (16) imply:
% 74.50/11.07  | | |   (17)  $false
% 74.50/11.07  | | | 
% 74.50/11.07  | | | CLOSE: (17) is inconsistent.
% 74.50/11.07  | | | 
% 74.50/11.07  | | End of split
% 74.50/11.07  | | 
% 74.50/11.07  | End of split
% 74.50/11.07  | 
% 74.50/11.07  End of proof
% 74.50/11.07  
% 74.50/11.07  Sub-proof #41 shows that the following formulas are inconsistent:
% 74.50/11.07  ----------------------------------------------------------------
% 74.50/11.07    (1)   ~ (all_4_5 = e2)
% 74.50/11.07    (2)   ~ (all_4_1 = e0)
% 74.50/11.07    (3)  all_10_1 = e4 | all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 |
% 74.50/11.07         all_10_21 = e4
% 74.50/11.07    (4)  all_10_8 = e3
% 74.50/11.07    (5)   ~ (all_4_1 = all_4_2)
% 74.50/11.07    (6)  all_10_14 = e0
% 74.50/11.07    (7)   ~ (all_4_9 = e0)
% 74.50/11.07    (8)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 74.50/11.07    (9)   ~ (all_4_11 = e0)
% 74.50/11.07    (10)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.50/11.07    (11)   ~ (all_4_10 = e3)
% 74.50/11.07    (12)  all_6_13 = all_4_17
% 74.50/11.07    (13)  all_10_4 = all_4_10
% 74.50/11.07    (14)  all_10_22 = e2
% 74.50/11.07    (15)  all_10_20 = e4
% 74.50/11.07    (16)  all_10_1 = all_4_5
% 74.50/11.07    (17)   ~ (all_4_20 = all_4_21)
% 74.50/11.07    (18)   ~ (e2 = e0)
% 74.50/11.07    (19)  all_6_9 = all_4_21
% 74.50/11.07    (20)  all_10_12 = all_4_3
% 74.50/11.07    (21)  op(e2, all_4_17) = all_8_46
% 74.50/11.07    (22)   ~ (all_4_2 = e3)
% 74.50/11.07    (23)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 74.50/11.07    (24)  all_10_16 = all_4_20
% 74.50/11.07    (25)   ~ (e4 = e0)
% 74.50/11.07    (26)  all_10_3 = e0
% 74.50/11.07    (27)   ~ (all_4_2 = all_4_22)
% 74.50/11.07    (28)  all_10_21 = all_4_9
% 74.50/11.07    (29)   ~ (all_4_10 = e0)
% 74.50/11.07    (30)   ~ (all_4_22 = e1)
% 74.50/11.07    (31)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 74.50/11.07    (32)  op(e4, e4) = e2
% 74.50/11.07    (33)  all_10_17 = all_4_21
% 74.50/11.07    (34)  all_6_21 = all_4_9
% 74.50/11.07    (35)   ~ (all_8_27 = e2)
% 74.50/11.07    (36)  op(e2, e1) = all_4_17
% 74.50/11.07    (37)  all_6_5 = all_4_1
% 74.50/11.07    (38)   ~ (all_4_1 = all_4_11)
% 74.50/11.07    (39)   ~ (all_4_1 = all_4_21)
% 74.50/11.07    (40)  all_10_0 = e0 | all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 |
% 74.50/11.07          all_10_20 = e0
% 74.50/11.07    (41)  all_10_6 = e1 | all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 |
% 74.50/11.07          all_10_18 = e1
% 74.50/11.07    (42)   ~ (e4 = e3)
% 74.50/11.07    (43)  all_10_2 = all_4_1
% 74.50/11.07    (44)   ~ (all_4_3 = e0)
% 74.50/11.07    (45)   ~ (all_4_5 = e0)
% 74.50/11.07    (46)   ~ (all_4_22 = e3)
% 74.50/11.07    (47)   ~ (all_4_17 = e4)
% 74.50/11.07    (48)   ~ (all_4_21 = e1)
% 74.50/11.07    (49)  op(e2, all_4_10) = e4
% 74.50/11.07    (50)  all_6_14 = all_4_22
% 74.50/11.07    (51)   ~ (all_4_9 = e1)
% 74.50/11.07    (52)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 74.50/11.07    (53)   ~ (all_4_2 = e2)
% 74.50/11.07    (54)   ~ (all_4_9 = e4)
% 74.50/11.07    (55)   ~ (all_4_2 = e4)
% 74.50/11.07    (56)  all_10_19 = e2
% 74.50/11.07    (57)   ~ (all_4_10 = all_4_11)
% 74.50/11.07    (58)  all_10_2 = e4 | all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 |
% 74.50/11.07          all_10_17 = e4
% 74.50/11.07    (59)   ~ (all_4_21 = e0)
% 74.50/11.07    (60)  all_6_1 = all_4_5
% 74.50/11.07    (61)   ~ (all_4_5 = all_4_10)
% 74.50/11.07    (62)   ~ (e4 = e2)
% 74.50/11.07    (63)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e1 | all_6_13 = e0
% 74.50/11.07    (64)   ~ (all_4_11 = all_4_21)
% 74.50/11.07    (65)  all_10_20 = e3 | all_10_21 = e3 | all_10_22 = e3 | all_10_23 = e3 |
% 74.50/11.07          all_10_24 = e3
% 74.50/11.07    (66)  all_10_6 = all_4_2
% 74.50/11.07    (67)  op(e4, all_4_10) = all_8_27
% 74.50/11.07    (68)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.50/11.07            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.50/11.07    (69)  all_10_5 = all_4_11
% 74.50/11.07    (70)  all_10_7 = e2
% 74.50/11.07    (71)  all_6_2 = all_4_10
% 74.50/11.07    (72)  all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 74.50/11.07          all_10_22 = e4
% 74.50/11.07    (73)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.50/11.07    (74)  all_10_0 = e2
% 74.50/11.07    (75)  all_10_18 = all_4_22
% 74.50/11.07    (76)   ~ (all_4_5 = all_4_9)
% 74.50/11.07    (77)  all_10_2 = e1 | all_10_3 = e1 | all_10_5 = e1 | all_10_10 = e1 |
% 74.50/11.07          all_10_17 = e1
% 74.50/11.07    (78)  all_10_11 = all_4_17
% 74.50/11.07    (79)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 74.50/11.07          all_10_22 = e1
% 74.50/11.07    (80)  all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0 | all_10_19 = e0
% 74.50/11.07    (81)   ~ (all_4_1 = e2)
% 74.50/11.07    (82)   ~ (all_4_1 = e4)
% 74.50/11.07    (83)  all_10_16 = e3 | all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 |
% 74.50/11.07          all_10_24 = e3
% 74.50/11.07  
% 74.50/11.07  Begin of proof
% 74.50/11.07  | 
% 74.50/11.08  | BETA: splitting (40) gives:
% 74.50/11.08  | 
% 74.50/11.08  | Case 1:
% 74.50/11.08  | | 
% 74.50/11.08  | |   (84)  all_10_0 = e0
% 74.50/11.08  | | 
% 74.50/11.08  | | COMBINE_EQS: (74), (84) imply:
% 74.50/11.08  | |   (85)  e2 = e0
% 74.50/11.08  | | 
% 74.50/11.08  | | REDUCE: (18), (85) imply:
% 74.50/11.08  | |   (86)  $false
% 74.50/11.08  | | 
% 74.50/11.08  | | CLOSE: (86) is inconsistent.
% 74.50/11.08  | | 
% 74.50/11.08  | Case 2:
% 74.50/11.08  | | 
% 74.50/11.08  | |   (87)  all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0
% 74.50/11.08  | | 
% 74.50/11.08  | | BETA: splitting (3) gives:
% 74.50/11.08  | | 
% 74.50/11.08  | | Case 1:
% 74.50/11.08  | | | 
% 74.50/11.08  | | |   (88)  all_10_1 = e4
% 74.50/11.08  | | | 
% 74.50/11.08  | | | COMBINE_EQS: (16), (88) imply:
% 74.50/11.08  | | |   (89)  all_4_5 = e4
% 74.50/11.08  | | | 
% 74.50/11.08  | | | REDUCE: (61), (89) imply:
% 74.50/11.08  | | |   (90)   ~ (all_4_10 = e4)
% 74.50/11.08  | | | 
% 74.50/11.08  | | | SIMP: (90) implies:
% 74.50/11.08  | | |   (91)   ~ (all_4_10 = e4)
% 74.50/11.08  | | | 
% 74.50/11.08  | | | BETA: splitting (72) gives:
% 74.50/11.08  | | | 
% 74.50/11.08  | | | Case 1:
% 74.50/11.08  | | | | 
% 74.50/11.08  | | | |   (92)  all_10_4 = e4
% 74.50/11.08  | | | | 
% 74.50/11.08  | | | | COMBINE_EQS: (13), (92) imply:
% 74.50/11.08  | | | |   (93)  all_4_10 = e4
% 74.50/11.08  | | | | 
% 74.50/11.08  | | | | REDUCE: (91), (93) imply:
% 74.50/11.08  | | | |   (94)  $false
% 74.50/11.08  | | | | 
% 74.50/11.08  | | | | CLOSE: (94) is inconsistent.
% 74.50/11.08  | | | | 
% 74.50/11.08  | | | Case 2:
% 74.50/11.08  | | | | 
% 74.50/11.08  | | | |   (95)   ~ (all_10_4 = e4)
% 74.50/11.08  | | | |   (96)  all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 | all_10_22 = e4
% 74.50/11.08  | | | | 
% 74.50/11.08  | | | | BETA: splitting (73) gives:
% 74.50/11.08  | | | | 
% 74.50/11.08  | | | | Case 1:
% 74.50/11.08  | | | | | 
% 74.50/11.08  | | | | |   (97)  all_6_2 = e4
% 74.50/11.08  | | | | | 
% 74.50/11.08  | | | | | COMBINE_EQS: (71), (97) imply:
% 74.50/11.08  | | | | |   (98)  all_4_10 = e4
% 74.50/11.08  | | | | | 
% 74.50/11.08  | | | | | REDUCE: (91), (98) imply:
% 74.50/11.08  | | | | |   (99)  $false
% 74.50/11.08  | | | | | 
% 74.50/11.08  | | | | | CLOSE: (99) is inconsistent.
% 74.50/11.08  | | | | | 
% 74.50/11.08  | | | | Case 2:
% 74.50/11.08  | | | | | 
% 74.50/11.08  | | | | |   (100)  all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.50/11.08  | | | | | 
% 74.50/11.08  | | | | | BETA: splitting (96) gives:
% 74.50/11.08  | | | | | 
% 74.50/11.08  | | | | | Case 1:
% 74.50/11.08  | | | | | | 
% 74.50/11.08  | | | | | |   (101)  all_10_5 = e4
% 74.50/11.08  | | | | | | 
% 74.50/11.08  | | | | | | COMBINE_EQS: (69), (101) imply:
% 74.50/11.08  | | | | | |   (102)  all_4_11 = e4
% 74.50/11.08  | | | | | | 
% 74.50/11.08  | | | | | | SIMP: (102) implies:
% 74.50/11.08  | | | | | |   (103)  all_4_11 = e4
% 74.50/11.08  | | | | | | 
% 74.50/11.08  | | | | | | REDUCE: (64), (103) imply:
% 74.50/11.08  | | | | | |   (104)   ~ (all_4_21 = e4)
% 74.50/11.08  | | | | | | 
% 74.50/11.08  | | | | | | SIMP: (104) implies:
% 74.50/11.08  | | | | | |   (105)   ~ (all_4_21 = e4)
% 74.50/11.08  | | | | | | 
% 74.50/11.08  | | | | | | BETA: splitting (87) gives:
% 74.50/11.08  | | | | | | 
% 74.50/11.08  | | | | | | Case 1:
% 74.50/11.08  | | | | | | | 
% 74.50/11.08  | | | | | | |   (106)  all_10_2 = e0
% 74.50/11.08  | | | | | | | 
% 74.50/11.08  | | | | | | | REF_CLOSE: (2), (43), (106) are inconsistent by sub-proof #119.
% 74.50/11.08  | | | | | | | 
% 74.50/11.08  | | | | | | Case 2:
% 74.50/11.08  | | | | | | | 
% 74.50/11.08  | | | | | | |   (107)  all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0
% 74.50/11.08  | | | | | | | 
% 74.50/11.08  | | | | | | | BETA: splitting (79) gives:
% 74.50/11.08  | | | | | | | 
% 74.50/11.08  | | | | | | | Case 1:
% 74.50/11.08  | | | | | | | | 
% 74.50/11.08  | | | | | | | |   (108)  all_10_4 = e1
% 74.50/11.08  | | | | | | | | 
% 74.50/11.08  | | | | | | | | COMBINE_EQS: (13), (108) imply:
% 74.50/11.08  | | | | | | | |   (109)  all_4_10 = e1
% 74.50/11.08  | | | | | | | | 
% 74.50/11.08  | | | | | | | | REDUCE: (11), (109) imply:
% 74.50/11.08  | | | | | | | |   (110)   ~ (e3 = e1)
% 74.50/11.08  | | | | | | | | 
% 74.50/11.08  | | | | | | | | SIMP: (110) implies:
% 74.50/11.08  | | | | | | | |   (111)   ~ (e3 = e1)
% 74.50/11.08  | | | | | | | | 
% 74.50/11.08  | | | | | | | | REDUCE: (49), (109) imply:
% 74.50/11.08  | | | | | | | |   (112)  op(e2, e1) = e4
% 74.50/11.08  | | | | | | | | 
% 74.50/11.08  | | | | | | | | BETA: splitting (77) gives:
% 74.50/11.08  | | | | | | | | 
% 74.50/11.08  | | | | | | | | Case 1:
% 74.50/11.08  | | | | | | | | | 
% 74.50/11.08  | | | | | | | | |   (113)  all_10_2 = e1
% 74.50/11.08  | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | COMBINE_EQS: (43), (113) imply:
% 74.50/11.08  | | | | | | | | |   (114)  all_4_1 = e1
% 74.50/11.08  | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | SIMP: (114) implies:
% 74.50/11.08  | | | | | | | | |   (115)  all_4_1 = e1
% 74.50/11.08  | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | REDUCE: (5), (115) imply:
% 74.50/11.08  | | | | | | | | |   (116)   ~ (all_4_2 = e1)
% 74.50/11.08  | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | SIMP: (116) implies:
% 74.50/11.08  | | | | | | | | |   (117)   ~ (all_4_2 = e1)
% 74.50/11.08  | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | REDUCE: (81), (115) imply:
% 74.50/11.08  | | | | | | | | |   (118)   ~ (e2 = e1)
% 74.50/11.08  | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | SIMP: (118) implies:
% 74.50/11.08  | | | | | | | | |   (119)   ~ (e2 = e1)
% 74.50/11.08  | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | BETA: splitting (41) gives:
% 74.50/11.08  | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | Case 1:
% 74.50/11.08  | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | |   (120)  all_10_6 = e1
% 74.50/11.08  | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | REF_CLOSE: (66), (117), (120) are inconsistent by sub-proof
% 74.50/11.08  | | | | | | | | | |            #86.
% 74.50/11.08  | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | Case 2:
% 74.50/11.08  | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | |   (121)  all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 |
% 74.50/11.08  | | | | | | | | | |          all_10_18 = e1
% 74.50/11.08  | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | BETA: splitting (63) gives:
% 74.50/11.08  | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | Case 1:
% 74.50/11.08  | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | |   (122)  all_6_13 = e4
% 74.50/11.08  | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | COMBINE_EQS: (12), (122) imply:
% 74.50/11.08  | | | | | | | | | | |   (123)  all_4_17 = e4
% 74.50/11.08  | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | SIMP: (123) implies:
% 74.50/11.08  | | | | | | | | | | |   (124)  all_4_17 = e4
% 74.50/11.08  | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | REDUCE: (47), (124) imply:
% 74.50/11.08  | | | | | | | | | | |   (125)  $false
% 74.50/11.08  | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | CLOSE: (125) is inconsistent.
% 74.50/11.08  | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | Case 2:
% 74.50/11.08  | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | |   (126)   ~ (all_6_13 = e4)
% 74.50/11.08  | | | | | | | | | | |   (127)  all_6_13 = e3 | all_6_13 = e1 | all_6_13 = e0
% 74.50/11.08  | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | BETA: splitting (127) gives:
% 74.50/11.08  | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | Case 1:
% 74.50/11.08  | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | |   (128)  all_6_13 = e1
% 74.50/11.08  | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | COMBINE_EQS: (12), (128) imply:
% 74.50/11.08  | | | | | | | | | | | |   (129)  all_4_17 = e1
% 74.50/11.08  | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | REF_CLOSE: (21), (36), (47), (68), (112), (129) are
% 74.50/11.08  | | | | | | | | | | | |            inconsistent by sub-proof #167.
% 74.50/11.08  | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | Case 2:
% 74.50/11.08  | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | |   (130)   ~ (all_6_13 = e1)
% 74.50/11.08  | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | REDUCE: (12), (130) imply:
% 74.50/11.08  | | | | | | | | | | | |   (131)   ~ (all_4_17 = e1)
% 74.50/11.08  | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | BETA: splitting (121) gives:
% 74.50/11.08  | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | Case 1:
% 74.50/11.08  | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | |   (132)  all_10_7 = e1
% 74.50/11.08  | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | COMBINE_EQS: (70), (132) imply:
% 74.50/11.08  | | | | | | | | | | | | |   (133)  e2 = e1
% 74.50/11.08  | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | REDUCE: (119), (133) imply:
% 74.50/11.08  | | | | | | | | | | | | |   (134)  $false
% 74.50/11.08  | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | CLOSE: (134) is inconsistent.
% 74.50/11.08  | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | Case 2:
% 74.50/11.08  | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | |   (135)  all_10_8 = e1 | all_10_11 = e1 | all_10_18 = e1
% 74.50/11.08  | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | BETA: splitting (135) gives:
% 74.50/11.08  | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | Case 1:
% 74.50/11.08  | | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | |   (136)  all_10_8 = e1
% 74.50/11.08  | | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | | COMBINE_EQS: (4), (136) imply:
% 74.50/11.08  | | | | | | | | | | | | | |   (137)  e3 = e1
% 74.50/11.08  | | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | | REDUCE: (111), (137) imply:
% 74.50/11.08  | | | | | | | | | | | | | |   (138)  $false
% 74.50/11.08  | | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | | CLOSE: (138) is inconsistent.
% 74.50/11.08  | | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | Case 2:
% 74.50/11.08  | | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | |   (139)  all_10_11 = e1 | all_10_18 = e1
% 74.50/11.08  | | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 74.50/11.08  | | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | | Case 1:
% 74.50/11.08  | | | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | | |   (140)  all_10_11 = e1
% 74.50/11.08  | | | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | | | COMBINE_EQS: (78), (140) imply:
% 74.50/11.08  | | | | | | | | | | | | | | |   (141)  all_4_17 = e1
% 74.50/11.08  | | | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | | | SIMP: (141) implies:
% 74.50/11.08  | | | | | | | | | | | | | | |   (142)  all_4_17 = e1
% 74.50/11.08  | | | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | | | REDUCE: (131), (142) imply:
% 74.50/11.08  | | | | | | | | | | | | | | |   (143)  $false
% 74.50/11.08  | | | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | | | CLOSE: (143) is inconsistent.
% 74.50/11.08  | | | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | | Case 2:
% 74.50/11.08  | | | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | | |   (144)  all_10_18 = e1
% 74.50/11.08  | | | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | | | COMBINE_EQS: (75), (144) imply:
% 74.50/11.08  | | | | | | | | | | | | | | |   (145)  all_4_22 = e1
% 74.50/11.08  | | | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | | | REDUCE: (30), (145) imply:
% 74.50/11.08  | | | | | | | | | | | | | | |   (146)  $false
% 74.50/11.08  | | | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | | | CLOSE: (146) is inconsistent.
% 74.50/11.08  | | | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | | End of split
% 74.50/11.08  | | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | | End of split
% 74.50/11.08  | | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | | End of split
% 74.50/11.08  | | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | | End of split
% 74.50/11.08  | | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | | End of split
% 74.50/11.08  | | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | End of split
% 74.50/11.08  | | | | | | | | | 
% 74.50/11.08  | | | | | | | | Case 2:
% 74.50/11.08  | | | | | | | | | 
% 74.50/11.08  | | | | | | | | |   (147)   ~ (all_10_2 = e1)
% 74.50/11.08  | | | | | | | | | 
% 74.50/11.08  | | | | | | | | | REF_CLOSE: (5), (8), (15), (17), (19), (20), (22), (23), (24),
% 74.50/11.08  | | | | | | | | |            (25), (27), (30), (31), (33), (37), (39), (43),
% 74.50/11.08  | | | | | | | | |            (44), (46), (48), (50), (53), (55), (56), (59),
% 74.50/11.08  | | | | | | | | |            (66), (75), (80), (82), (83), (105), (107), (147)
% 74.50/11.08  | | | | | | | | |            are inconsistent by sub-proof #46.
% 74.50/11.08  | | | | | | | | | 
% 74.50/11.08  | | | | | | | | End of split
% 74.50/11.08  | | | | | | | | 
% 74.50/11.08  | | | | | | | Case 2:
% 74.50/11.08  | | | | | | | | 
% 74.50/11.08  | | | | | | | |   (148)   ~ (all_10_4 = e1)
% 74.50/11.08  | | | | | | | | 
% 74.50/11.08  | | | | | | | | REDUCE: (13), (148) imply:
% 74.50/11.08  | | | | | | | |   (149)   ~ (all_4_10 = e1)
% 74.50/11.08  | | | | | | | | 
% 74.50/11.08  | | | | | | | | REF_CLOSE: (11), (29), (71), (100), (149) are inconsistent by
% 74.50/11.08  | | | | | | | |            sub-proof #162.
% 74.50/11.08  | | | | | | | | 
% 74.50/11.08  | | | | | | | End of split
% 74.50/11.08  | | | | | | | 
% 74.50/11.08  | | | | | | End of split
% 74.50/11.08  | | | | | | 
% 74.50/11.08  | | | | | Case 2:
% 74.50/11.08  | | | | | | 
% 74.50/11.08  | | | | | |   (150)  all_10_8 = e4 | all_10_14 = e4 | all_10_22 = e4
% 74.50/11.08  | | | | | | 
% 74.50/11.08  | | | | | | REF_CLOSE: (4), (6), (14), (25), (42), (62), (150) are inconsistent
% 74.50/11.08  | | | | | |            by sub-proof #115.
% 74.50/11.08  | | | | | | 
% 74.50/11.08  | | | | | End of split
% 74.50/11.08  | | | | | 
% 74.50/11.08  | | | | End of split
% 74.50/11.08  | | | | 
% 74.50/11.08  | | | End of split
% 74.50/11.08  | | | 
% 74.50/11.08  | | Case 2:
% 74.50/11.08  | | | 
% 74.50/11.08  | | |   (151)   ~ (all_10_1 = e4)
% 74.50/11.08  | | | 
% 74.50/11.08  | | | REF_CLOSE: (4), (6), (7), (10), (11), (13), (14), (15), (16), (25), (26),
% 74.50/11.08  | | |            (28), (29), (32), (34), (35), (42), (43), (45), (51), (52),
% 74.50/11.08  | | |            (54), (57), (58), (60), (61), (62), (65), (67), (68), (69),
% 74.50/11.08  | | |            (71), (72), (73), (76), (79), (82), (151) are inconsistent by
% 74.50/11.08  | | |            sub-proof #42.
% 74.50/11.08  | | | 
% 74.50/11.08  | | End of split
% 74.50/11.08  | | 
% 74.50/11.08  | End of split
% 74.50/11.08  | 
% 74.50/11.08  End of proof
% 74.50/11.08  
% 74.50/11.08  Sub-proof #42 shows that the following formulas are inconsistent:
% 74.50/11.08  ----------------------------------------------------------------
% 74.50/11.08    (1)  all_10_8 = e3
% 74.50/11.08    (2)  all_10_14 = e0
% 74.50/11.08    (3)   ~ (all_4_9 = e0)
% 74.50/11.08    (4)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.50/11.08    (5)   ~ (all_4_10 = e3)
% 74.50/11.08    (6)  all_10_4 = all_4_10
% 74.50/11.08    (7)  all_10_22 = e2
% 74.50/11.08    (8)  all_10_20 = e4
% 74.50/11.08    (9)  all_10_1 = all_4_5
% 74.50/11.08    (10)   ~ (e4 = e0)
% 74.50/11.08    (11)  all_10_3 = e0
% 74.50/11.08    (12)  all_10_21 = all_4_9
% 74.50/11.08    (13)   ~ (all_4_10 = e0)
% 74.50/11.08    (14)  op(e4, e4) = e2
% 74.50/11.08    (15)  all_6_21 = all_4_9
% 74.50/11.08    (16)   ~ (all_8_27 = e2)
% 74.50/11.08    (17)   ~ (all_10_1 = e4)
% 74.50/11.08    (18)   ~ (e4 = e3)
% 74.50/11.08    (19)  all_10_2 = all_4_1
% 74.50/11.08    (20)   ~ (all_4_5 = e0)
% 74.50/11.08    (21)   ~ (all_4_9 = e1)
% 74.50/11.08    (22)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 74.50/11.08    (23)   ~ (all_4_9 = e4)
% 74.50/11.08    (24)   ~ (all_4_10 = all_4_11)
% 74.50/11.08    (25)  all_10_2 = e4 | all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 |
% 74.50/11.08          all_10_17 = e4
% 74.50/11.08    (26)  all_6_1 = all_4_5
% 74.50/11.08    (27)   ~ (all_4_5 = all_4_10)
% 74.50/11.08    (28)   ~ (e4 = e2)
% 74.50/11.08    (29)  all_10_20 = e3 | all_10_21 = e3 | all_10_22 = e3 | all_10_23 = e3 |
% 74.50/11.08          all_10_24 = e3
% 74.50/11.08    (30)  op(e4, all_4_10) = all_8_27
% 74.50/11.08    (31)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.50/11.08            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.50/11.08    (32)  all_10_5 = all_4_11
% 74.50/11.08    (33)  all_6_2 = all_4_10
% 74.50/11.08    (34)  all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 74.50/11.08          all_10_22 = e4
% 74.50/11.08    (35)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.50/11.08    (36)   ~ (all_4_5 = all_4_9)
% 74.50/11.08    (37)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 74.50/11.08          all_10_22 = e1
% 74.50/11.08    (38)   ~ (all_4_1 = e4)
% 74.50/11.08  
% 74.50/11.08  Begin of proof
% 74.50/11.08  | 
% 74.50/11.08  | REDUCE: (9), (17) imply:
% 74.50/11.08  |   (39)   ~ (all_4_5 = e4)
% 74.50/11.08  | 
% 74.50/11.08  | BETA: splitting (22) gives:
% 74.50/11.08  | 
% 74.50/11.08  | Case 1:
% 74.50/11.08  | | 
% 74.50/11.08  | |   (40)  all_6_21 = e4
% 74.50/11.08  | | 
% 74.50/11.08  | | COMBINE_EQS: (15), (40) imply:
% 74.50/11.08  | |   (41)  all_4_9 = e4
% 74.50/11.08  | | 
% 74.50/11.08  | | REDUCE: (23), (41) imply:
% 74.50/11.08  | |   (42)  $false
% 74.50/11.08  | | 
% 74.50/11.08  | | CLOSE: (42) is inconsistent.
% 74.50/11.08  | | 
% 74.50/11.08  | Case 2:
% 74.50/11.08  | | 
% 74.50/11.08  | |   (43)   ~ (all_6_21 = e4)
% 74.50/11.08  | |   (44)  all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 74.50/11.08  | | 
% 74.50/11.08  | | BETA: splitting (25) gives:
% 74.50/11.08  | | 
% 74.50/11.08  | | Case 1:
% 74.50/11.08  | | | 
% 74.50/11.08  | | |   (45)  all_10_2 = e4
% 74.50/11.08  | | | 
% 74.50/11.08  | | | COMBINE_EQS: (19), (45) imply:
% 74.50/11.08  | | |   (46)  all_4_1 = e4
% 74.50/11.08  | | | 
% 74.50/11.08  | | | SIMP: (46) implies:
% 74.50/11.08  | | |   (47)  all_4_1 = e4
% 74.50/11.08  | | | 
% 74.50/11.08  | | | REDUCE: (38), (47) imply:
% 74.50/11.08  | | |   (48)  $false
% 74.50/11.08  | | | 
% 74.50/11.08  | | | CLOSE: (48) is inconsistent.
% 74.50/11.08  | | | 
% 74.50/11.08  | | Case 2:
% 74.50/11.08  | | | 
% 74.50/11.08  | | |   (49)  all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 | all_10_17 = e4
% 74.50/11.08  | | | 
% 74.50/11.08  | | | BETA: splitting (29) gives:
% 74.50/11.08  | | | 
% 74.50/11.08  | | | Case 1:
% 74.50/11.08  | | | | 
% 74.50/11.08  | | | |   (50)  all_10_20 = e3
% 74.50/11.08  | | | | 
% 74.50/11.08  | | | | COMBINE_EQS: (8), (50) imply:
% 74.50/11.08  | | | |   (51)  e4 = e3
% 74.50/11.08  | | | | 
% 74.50/11.08  | | | | REDUCE: (18), (51) imply:
% 74.50/11.08  | | | |   (52)  $false
% 74.50/11.08  | | | | 
% 74.50/11.08  | | | | CLOSE: (52) is inconsistent.
% 74.50/11.08  | | | | 
% 74.50/11.08  | | | Case 2:
% 74.50/11.08  | | | | 
% 74.50/11.08  | | | |   (53)  all_10_21 = e3 | all_10_22 = e3 | all_10_23 = e3 | all_10_24 =
% 74.50/11.08  | | | |         e3
% 74.50/11.08  | | | | 
% 74.50/11.08  | | | | BETA: splitting (53) gives:
% 74.50/11.08  | | | | 
% 74.50/11.08  | | | | Case 1:
% 74.50/11.08  | | | | | 
% 74.50/11.08  | | | | |   (54)  all_10_21 = e3
% 74.50/11.08  | | | | | 
% 74.50/11.08  | | | | | COMBINE_EQS: (12), (54) imply:
% 74.50/11.08  | | | | |   (55)  all_4_9 = e3
% 74.50/11.08  | | | | | 
% 74.50/11.08  | | | | | REDUCE: (36), (55) imply:
% 74.50/11.08  | | | | |   (56)   ~ (all_4_5 = e3)
% 74.50/11.08  | | | | | 
% 74.50/11.08  | | | | | REDUCE: (23), (55) imply:
% 74.50/11.08  | | | | |   (57)   ~ (e4 = e3)
% 74.50/11.08  | | | | | 
% 74.50/11.08  | | | | | BETA: splitting (49) gives:
% 74.50/11.08  | | | | | 
% 74.50/11.08  | | | | | Case 1:
% 74.50/11.08  | | | | | | 
% 74.50/11.08  | | | | | |   (58)  all_10_3 = e4
% 74.50/11.08  | | | | | | 
% 74.50/11.09  | | | | | | REF_CLOSE: (10), (11), (58) are inconsistent by sub-proof #45.
% 74.50/11.09  | | | | | | 
% 74.50/11.09  | | | | | Case 2:
% 74.50/11.09  | | | | | | 
% 74.50/11.09  | | | | | |   (59)   ~ (all_10_3 = e4)
% 74.50/11.09  | | | | | |   (60)  all_10_5 = e4 | all_10_10 = e4 | all_10_17 = e4
% 74.50/11.09  | | | | | | 
% 74.50/11.09  | | | | | | REDUCE: (11), (59) imply:
% 74.50/11.09  | | | | | |   (61)   ~ (e4 = e0)
% 74.50/11.09  | | | | | | 
% 74.50/11.09  | | | | | | BETA: splitting (60) gives:
% 74.50/11.09  | | | | | | 
% 74.50/11.09  | | | | | | Case 1:
% 74.50/11.09  | | | | | | | 
% 74.50/11.09  | | | | | | |   (62)  all_10_5 = e4
% 74.50/11.09  | | | | | | | 
% 74.50/11.09  | | | | | | | COMBINE_EQS: (32), (62) imply:
% 74.50/11.09  | | | | | | |   (63)  all_4_11 = e4
% 74.50/11.09  | | | | | | | 
% 74.50/11.09  | | | | | | | REDUCE: (24), (63) imply:
% 74.50/11.09  | | | | | | |   (64)   ~ (all_4_10 = e4)
% 74.50/11.09  | | | | | | | 
% 74.50/11.09  | | | | | | | BETA: splitting (35) gives:
% 74.50/11.09  | | | | | | | 
% 74.50/11.09  | | | | | | | Case 1:
% 74.50/11.09  | | | | | | | | 
% 74.50/11.09  | | | | | | | |   (65)  all_6_2 = e4
% 74.50/11.09  | | | | | | | | 
% 74.50/11.09  | | | | | | | | REF_CLOSE: (33), (64), (65) are inconsistent by sub-proof #164.
% 74.50/11.09  | | | | | | | | 
% 74.50/11.09  | | | | | | | Case 2:
% 74.50/11.09  | | | | | | | | 
% 74.50/11.09  | | | | | | | |   (66)  all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.50/11.09  | | | | | | | | 
% 74.50/11.09  | | | | | | | | REF_CLOSE: (4), (5), (6), (13), (20), (26), (27), (33), (37),
% 74.50/11.09  | | | | | | | |            (39), (56), (66) are inconsistent by sub-proof #44.
% 74.50/11.09  | | | | | | | | 
% 74.50/11.09  | | | | | | | End of split
% 74.50/11.09  | | | | | | | 
% 74.50/11.09  | | | | | | Case 2:
% 74.50/11.09  | | | | | | | 
% 74.50/11.09  | | | | | | |   (67)   ~ (all_10_5 = e4)
% 74.50/11.09  | | | | | | | 
% 74.50/11.09  | | | | | | | REDUCE: (32), (67) imply:
% 74.50/11.09  | | | | | | |   (68)   ~ (all_4_11 = e4)
% 74.50/11.09  | | | | | | | 
% 74.50/11.09  | | | | | | | REF_CLOSE: (1), (2), (6), (7), (10), (14), (16), (18), (28), (30),
% 74.50/11.09  | | | | | | |            (31), (32), (34), (68) are inconsistent by sub-proof
% 74.50/11.09  | | | | | | |            #43.
% 74.50/11.09  | | | | | | | 
% 74.50/11.09  | | | | | | End of split
% 74.50/11.09  | | | | | | 
% 74.50/11.09  | | | | | End of split
% 74.50/11.09  | | | | | 
% 74.50/11.09  | | | | Case 2:
% 74.50/11.09  | | | | | 
% 74.50/11.09  | | | | |   (69)   ~ (all_10_21 = e3)
% 74.50/11.09  | | | | | 
% 74.50/11.09  | | | | | REDUCE: (12), (69) imply:
% 74.50/11.09  | | | | |   (70)   ~ (all_4_9 = e3)
% 74.50/11.09  | | | | | 
% 74.50/11.09  | | | | | REF_CLOSE: (3), (15), (21), (44), (70) are inconsistent by sub-proof
% 74.50/11.09  | | | | |            #126.
% 74.50/11.09  | | | | | 
% 74.50/11.09  | | | | End of split
% 74.50/11.09  | | | | 
% 74.50/11.09  | | | End of split
% 74.50/11.09  | | | 
% 74.50/11.09  | | End of split
% 74.50/11.09  | | 
% 74.50/11.09  | End of split
% 74.50/11.09  | 
% 74.50/11.09  End of proof
% 74.50/11.09  
% 74.50/11.09  Sub-proof #43 shows that the following formulas are inconsistent:
% 74.50/11.09  ----------------------------------------------------------------
% 74.50/11.09    (1)  all_10_8 = e3
% 74.50/11.09    (2)  all_10_14 = e0
% 74.50/11.09    (3)  all_10_4 = all_4_10
% 74.50/11.09    (4)  all_10_22 = e2
% 74.50/11.09    (5)   ~ (e4 = e0)
% 74.50/11.09    (6)   ~ (all_4_11 = e4)
% 74.50/11.09    (7)  op(e4, e4) = e2
% 74.50/11.09    (8)   ~ (all_8_27 = e2)
% 74.50/11.09    (9)   ~ (e4 = e3)
% 74.50/11.09    (10)   ~ (e4 = e2)
% 74.50/11.09    (11)  op(e4, all_4_10) = all_8_27
% 74.50/11.09    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.50/11.09            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.50/11.09    (13)  all_10_5 = all_4_11
% 74.50/11.09    (14)  all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 74.50/11.09          all_10_22 = e4
% 74.50/11.09  
% 74.50/11.09  Begin of proof
% 74.50/11.09  | 
% 74.50/11.09  | BETA: splitting (14) gives:
% 74.50/11.09  | 
% 74.50/11.09  | Case 1:
% 74.50/11.09  | | 
% 74.50/11.09  | |   (15)  all_10_4 = e4
% 74.50/11.09  | | 
% 74.50/11.09  | | REF_CLOSE: (3), (7), (8), (11), (12), (15) are inconsistent by sub-proof
% 74.50/11.09  | |            #165.
% 74.50/11.09  | | 
% 74.50/11.09  | Case 2:
% 74.50/11.09  | | 
% 74.50/11.09  | |   (16)  all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 | all_10_22 = e4
% 74.50/11.09  | | 
% 74.50/11.09  | | BETA: splitting (16) gives:
% 74.50/11.09  | | 
% 74.50/11.09  | | Case 1:
% 74.50/11.09  | | | 
% 74.50/11.09  | | |   (17)  all_10_5 = e4
% 74.50/11.09  | | | 
% 74.50/11.09  | | | COMBINE_EQS: (13), (17) imply:
% 74.50/11.09  | | |   (18)  all_4_11 = e4
% 74.50/11.09  | | | 
% 74.50/11.09  | | | REDUCE: (6), (18) imply:
% 74.50/11.09  | | |   (19)  $false
% 74.50/11.09  | | | 
% 74.50/11.09  | | | CLOSE: (19) is inconsistent.
% 74.50/11.09  | | | 
% 74.50/11.09  | | Case 2:
% 74.50/11.09  | | | 
% 74.50/11.09  | | |   (20)  all_10_8 = e4 | all_10_14 = e4 | all_10_22 = e4
% 74.50/11.09  | | | 
% 74.50/11.09  | | | REF_CLOSE: (1), (2), (4), (5), (9), (10), (20) are inconsistent by
% 74.50/11.09  | | |            sub-proof #115.
% 74.50/11.09  | | | 
% 74.50/11.09  | | End of split
% 74.50/11.09  | | 
% 74.50/11.09  | End of split
% 74.50/11.09  | 
% 74.50/11.09  End of proof
% 74.50/11.09  
% 74.50/11.09  Sub-proof #44 shows that the following formulas are inconsistent:
% 74.50/11.09  ----------------------------------------------------------------
% 74.50/11.09    (1)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.50/11.09    (2)   ~ (all_4_10 = e3)
% 74.50/11.09    (3)  all_10_4 = all_4_10
% 74.50/11.09    (4)   ~ (all_4_10 = e0)
% 74.50/11.09    (5)   ~ (all_4_5 = e3)
% 74.50/11.09    (6)   ~ (all_4_5 = e0)
% 74.50/11.09    (7)  all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.50/11.09    (8)   ~ (all_4_5 = e4)
% 74.50/11.09    (9)  all_6_1 = all_4_5
% 74.50/11.09    (10)   ~ (all_4_5 = all_4_10)
% 74.50/11.09    (11)  all_6_2 = all_4_10
% 74.50/11.09    (12)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 74.50/11.09          all_10_22 = e1
% 74.50/11.09  
% 74.50/11.09  Begin of proof
% 74.50/11.09  | 
% 74.50/11.09  | BETA: splitting (12) gives:
% 74.50/11.09  | 
% 74.50/11.09  | Case 1:
% 74.50/11.09  | | 
% 74.50/11.09  | |   (13)  all_10_4 = e1
% 74.50/11.09  | | 
% 74.50/11.09  | | COMBINE_EQS: (3), (13) imply:
% 74.50/11.09  | |   (14)  all_4_10 = e1
% 74.50/11.09  | | 
% 74.50/11.09  | | REDUCE: (10), (14) imply:
% 74.50/11.09  | |   (15)   ~ (all_4_5 = e1)
% 74.50/11.09  | | 
% 74.50/11.09  | | REF_CLOSE: (1), (5), (6), (8), (9), (15) are inconsistent by sub-proof #134.
% 74.50/11.09  | | 
% 74.50/11.09  | Case 2:
% 74.50/11.09  | | 
% 74.50/11.09  | |   (16)   ~ (all_10_4 = e1)
% 74.50/11.09  | | 
% 74.50/11.09  | | REDUCE: (3), (16) imply:
% 74.50/11.09  | |   (17)   ~ (all_4_10 = e1)
% 74.50/11.09  | | 
% 74.50/11.09  | | REF_CLOSE: (2), (4), (7), (11), (17) are inconsistent by sub-proof #162.
% 74.50/11.09  | | 
% 74.50/11.09  | End of split
% 74.50/11.09  | 
% 74.50/11.09  End of proof
% 74.50/11.09  
% 74.50/11.09  Sub-proof #45 shows that the following formulas are inconsistent:
% 74.50/11.09  ----------------------------------------------------------------
% 74.50/11.09    (1)  all_10_3 = e4
% 74.50/11.09    (2)  all_10_3 = e0
% 74.50/11.09    (3)   ~ (e4 = e0)
% 74.50/11.09  
% 74.50/11.09  Begin of proof
% 74.50/11.09  | 
% 74.50/11.09  | COMBINE_EQS: (1), (2) imply:
% 74.50/11.09  |   (4)  e4 = e0
% 74.50/11.09  | 
% 74.50/11.09  | SIMP: (4) implies:
% 74.50/11.09  |   (5)  e4 = e0
% 74.50/11.09  | 
% 74.50/11.09  | REDUCE: (3), (5) imply:
% 74.50/11.09  |   (6)  $false
% 74.50/11.09  | 
% 74.50/11.09  | CLOSE: (6) is inconsistent.
% 74.50/11.09  | 
% 74.50/11.09  End of proof
% 74.50/11.09  
% 74.50/11.09  Sub-proof #46 shows that the following formulas are inconsistent:
% 74.50/11.09  ----------------------------------------------------------------
% 74.50/11.09    (1)   ~ (all_4_1 = all_4_2)
% 74.50/11.09    (2)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 74.50/11.09    (3)  all_10_20 = e4
% 74.50/11.09    (4)   ~ (all_4_20 = all_4_21)
% 74.50/11.09    (5)  all_6_9 = all_4_21
% 74.50/11.09    (6)  all_10_12 = all_4_3
% 74.50/11.09    (7)   ~ (all_4_2 = e3)
% 74.50/11.09    (8)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 74.50/11.09    (9)  all_10_16 = all_4_20
% 74.50/11.09    (10)   ~ (e4 = e0)
% 74.50/11.09    (11)   ~ (all_4_2 = all_4_22)
% 74.50/11.09    (12)   ~ (all_4_22 = e1)
% 74.50/11.09    (13)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 74.50/11.09    (14)  all_10_17 = all_4_21
% 74.50/11.09    (15)  all_6_5 = all_4_1
% 74.50/11.09    (16)   ~ (all_4_1 = all_4_21)
% 74.50/11.09    (17)  all_10_2 = all_4_1
% 74.50/11.09    (18)   ~ (all_4_3 = e0)
% 74.50/11.09    (19)   ~ (all_4_22 = e3)
% 74.50/11.09    (20)   ~ (all_4_21 = e4)
% 74.50/11.09    (21)   ~ (all_10_2 = e1)
% 74.50/11.09    (22)   ~ (all_4_21 = e1)
% 74.50/11.09    (23)  all_6_14 = all_4_22
% 74.50/11.09    (24)   ~ (all_4_2 = e2)
% 74.50/11.09    (25)   ~ (all_4_2 = e4)
% 74.50/11.09    (26)  all_10_19 = e2
% 74.50/11.09    (27)  all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0
% 74.50/11.09    (28)   ~ (all_4_21 = e0)
% 74.50/11.09    (29)  all_10_6 = all_4_2
% 74.50/11.09    (30)  all_10_18 = all_4_22
% 74.50/11.09    (31)  all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0 | all_10_19 = e0
% 74.50/11.09    (32)   ~ (all_4_1 = e4)
% 74.50/11.09    (33)  all_10_16 = e3 | all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 |
% 74.50/11.09          all_10_24 = e3
% 74.50/11.09  
% 74.50/11.09  Begin of proof
% 74.50/11.09  | 
% 74.50/11.09  | REDUCE: (17), (21) imply:
% 74.50/11.09  |   (34)   ~ (all_4_1 = e1)
% 74.50/11.09  | 
% 74.50/11.09  | BETA: splitting (2) gives:
% 74.50/11.09  | 
% 74.50/11.09  | Case 1:
% 74.50/11.09  | | 
% 74.50/11.09  | |   (35)  all_6_5 = e4
% 74.50/11.09  | | 
% 74.50/11.09  | | REF_CLOSE: (15), (32), (35) are inconsistent by sub-proof #81.
% 74.50/11.09  | | 
% 74.50/11.09  | Case 2:
% 74.50/11.09  | | 
% 74.50/11.09  | |   (36)  all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 74.50/11.09  | | 
% 74.50/11.09  | | BETA: splitting (36) gives:
% 74.50/11.09  | | 
% 74.50/11.09  | | Case 1:
% 74.50/11.09  | | | 
% 74.50/11.09  | | |   (37)  all_6_5 = e1
% 74.50/11.09  | | | 
% 74.50/11.09  | | | REF_CLOSE: (15), (34), (37) are inconsistent by sub-proof #142.
% 74.50/11.09  | | | 
% 74.50/11.09  | | Case 2:
% 74.50/11.09  | | | 
% 74.50/11.09  | | |   (38)  all_6_5 = e3 | all_6_5 = e0
% 74.50/11.09  | | | 
% 74.50/11.09  | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 74.50/11.09  | | |            (14), (15), (16), (18), (19), (20), (22), (23), (24), (25),
% 74.50/11.09  | | |            (26), (27), (28), (29), (30), (31), (33), (38) are inconsistent
% 74.50/11.09  | | |            by sub-proof #47.
% 74.50/11.09  | | | 
% 74.50/11.09  | | End of split
% 74.50/11.09  | | 
% 74.50/11.09  | End of split
% 74.50/11.09  | 
% 74.50/11.09  End of proof
% 74.50/11.09  
% 74.50/11.09  Sub-proof #47 shows that the following formulas are inconsistent:
% 74.50/11.09  ----------------------------------------------------------------
% 74.50/11.09    (1)   ~ (all_4_1 = all_4_2)
% 74.50/11.09    (2)  all_10_20 = e4
% 74.50/11.09    (3)   ~ (all_4_20 = all_4_21)
% 74.50/11.09    (4)  all_6_9 = all_4_21
% 74.50/11.09    (5)  all_10_12 = all_4_3
% 74.50/11.09    (6)   ~ (all_4_2 = e3)
% 74.50/11.09    (7)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 74.50/11.09    (8)  all_10_16 = all_4_20
% 74.50/11.09    (9)   ~ (e4 = e0)
% 74.50/11.09    (10)   ~ (all_4_2 = all_4_22)
% 74.50/11.09    (11)   ~ (all_4_22 = e1)
% 74.50/11.09    (12)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 74.50/11.09    (13)  all_6_5 = e3 | all_6_5 = e0
% 74.50/11.09    (14)  all_10_17 = all_4_21
% 74.50/11.09    (15)  all_6_5 = all_4_1
% 74.50/11.09    (16)   ~ (all_4_1 = all_4_21)
% 74.50/11.09    (17)   ~ (all_4_3 = e0)
% 74.50/11.09    (18)   ~ (all_4_22 = e3)
% 74.50/11.09    (19)   ~ (all_4_21 = e4)
% 74.50/11.09    (20)   ~ (all_4_21 = e1)
% 74.50/11.09    (21)  all_6_14 = all_4_22
% 74.50/11.09    (22)   ~ (all_4_2 = e2)
% 74.50/11.09    (23)   ~ (all_4_2 = e4)
% 74.50/11.09    (24)  all_10_19 = e2
% 74.50/11.09    (25)  all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0
% 74.50/11.09    (26)   ~ (all_4_21 = e0)
% 74.50/11.09    (27)  all_10_6 = all_4_2
% 74.50/11.09    (28)  all_10_18 = all_4_22
% 74.50/11.09    (29)  all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0 | all_10_19 = e0
% 74.50/11.09    (30)  all_10_16 = e3 | all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 |
% 74.50/11.09          all_10_24 = e3
% 74.50/11.09  
% 74.50/11.09  Begin of proof
% 74.50/11.09  | 
% 74.50/11.09  | BETA: splitting (25) gives:
% 74.50/11.09  | 
% 74.50/11.09  | Case 1:
% 74.50/11.09  | | 
% 74.50/11.09  | |   (31)  all_10_6 = e0
% 74.50/11.09  | | 
% 74.50/11.09  | | COMBINE_EQS: (27), (31) imply:
% 74.50/11.09  | |   (32)  all_4_2 = e0
% 74.50/11.09  | | 
% 74.50/11.09  | | SIMP: (32) implies:
% 74.50/11.09  | |   (33)  all_4_2 = e0
% 74.50/11.09  | | 
% 74.50/11.09  | | REDUCE: (1), (33) imply:
% 74.50/11.09  | |   (34)   ~ (all_4_1 = e0)
% 74.50/11.09  | | 
% 74.50/11.09  | | REDUCE: (10), (33) imply:
% 74.50/11.09  | |   (35)   ~ (all_4_22 = e0)
% 74.50/11.09  | | 
% 74.50/11.09  | | SIMP: (35) implies:
% 74.50/11.09  | |   (36)   ~ (all_4_22 = e0)
% 74.50/11.09  | | 
% 74.50/11.09  | | REDUCE: (23), (33) imply:
% 74.50/11.09  | |   (37)   ~ (e4 = e0)
% 74.50/11.09  | | 
% 74.50/11.09  | | REDUCE: (6), (33) imply:
% 74.50/11.09  | |   (38)   ~ (e3 = e0)
% 74.50/11.09  | | 
% 74.50/11.09  | | SIMP: (38) implies:
% 74.50/11.09  | |   (39)   ~ (e3 = e0)
% 74.50/11.09  | | 
% 74.50/11.09  | | REDUCE: (22), (33) imply:
% 74.50/11.09  | |   (40)   ~ (e2 = e0)
% 74.50/11.09  | | 
% 74.50/11.09  | | SIMP: (40) implies:
% 74.50/11.09  | |   (41)   ~ (e2 = e0)
% 74.50/11.09  | | 
% 74.50/11.09  | | BETA: splitting (12) gives:
% 74.50/11.09  | | 
% 74.50/11.09  | | Case 1:
% 74.50/11.09  | | | 
% 74.50/11.09  | | |   (42)  all_6_9 = e4
% 74.50/11.09  | | | 
% 74.50/11.09  | | | REF_CLOSE: (4), (19), (42) are inconsistent by sub-proof #114.
% 74.50/11.09  | | | 
% 74.50/11.09  | | Case 2:
% 74.50/11.09  | | | 
% 74.50/11.09  | | |   (43)   ~ (all_6_9 = e4)
% 74.50/11.09  | | |   (44)  all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 74.50/11.09  | | | 
% 74.50/11.09  | | | BETA: splitting (29) gives:
% 74.50/11.09  | | | 
% 74.50/11.09  | | | Case 1:
% 74.50/11.09  | | | | 
% 74.50/11.09  | | | |   (45)  all_10_16 = e0
% 74.50/11.09  | | | | 
% 74.50/11.09  | | | | COMBINE_EQS: (8), (45) imply:
% 74.50/11.09  | | | |   (46)  all_4_20 = e0
% 74.50/11.09  | | | | 
% 74.50/11.09  | | | | REDUCE: (3), (46) imply:
% 74.50/11.09  | | | |   (47)   ~ (all_4_21 = e0)
% 74.50/11.09  | | | | 
% 74.50/11.09  | | | | BETA: splitting (30) gives:
% 74.50/11.09  | | | | 
% 74.50/11.09  | | | | Case 1:
% 74.50/11.09  | | | | | 
% 74.50/11.09  | | | | |   (48)  all_10_16 = e3
% 74.50/11.09  | | | | | 
% 74.50/11.09  | | | | | COMBINE_EQS: (45), (48) imply:
% 74.50/11.09  | | | | |   (49)  e3 = e0
% 74.50/11.09  | | | | | 
% 74.50/11.09  | | | | | SIMP: (49) implies:
% 74.50/11.09  | | | | |   (50)  e3 = e0
% 74.50/11.10  | | | | | 
% 74.50/11.10  | | | | | REDUCE: (39), (50) imply:
% 74.50/11.10  | | | | |   (51)  $false
% 74.50/11.10  | | | | | 
% 74.50/11.10  | | | | | CLOSE: (51) is inconsistent.
% 74.50/11.10  | | | | | 
% 74.50/11.10  | | | | Case 2:
% 74.50/11.10  | | | | | 
% 74.50/11.10  | | | | |   (52)  all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 | all_10_24 =
% 74.50/11.10  | | | | |         e3
% 74.50/11.10  | | | | | 
% 74.50/11.10  | | | | | BETA: splitting (52) gives:
% 74.50/11.10  | | | | | 
% 74.50/11.10  | | | | | Case 1:
% 74.50/11.10  | | | | | | 
% 74.50/11.10  | | | | | |   (53)  all_10_17 = e3
% 74.50/11.10  | | | | | | 
% 74.50/11.10  | | | | | | COMBINE_EQS: (14), (53) imply:
% 74.50/11.10  | | | | | |   (54)  all_4_21 = e3
% 74.50/11.10  | | | | | | 
% 74.50/11.10  | | | | | | REDUCE: (16), (54) imply:
% 74.50/11.10  | | | | | |   (55)   ~ (all_4_1 = e3)
% 74.50/11.10  | | | | | | 
% 74.50/11.10  | | | | | | REF_CLOSE: (13), (15), (34), (55) are inconsistent by sub-proof
% 74.50/11.10  | | | | | |            #141.
% 74.50/11.10  | | | | | | 
% 74.50/11.10  | | | | | Case 2:
% 74.50/11.10  | | | | | | 
% 74.50/11.10  | | | | | |   (56)   ~ (all_10_17 = e3)
% 74.50/11.10  | | | | | | 
% 74.50/11.10  | | | | | | REDUCE: (14), (56) imply:
% 74.50/11.10  | | | | | |   (57)   ~ (all_4_21 = e3)
% 74.50/11.10  | | | | | | 
% 74.50/11.10  | | | | | | REF_CLOSE: (4), (20), (26), (44), (57) are inconsistent by sub-proof
% 74.50/11.10  | | | | | |            #111.
% 74.50/11.10  | | | | | | 
% 74.50/11.10  | | | | | End of split
% 74.50/11.10  | | | | | 
% 74.50/11.10  | | | | End of split
% 74.50/11.10  | | | | 
% 74.50/11.10  | | | Case 2:
% 74.50/11.10  | | | | 
% 74.50/11.10  | | | |   (58)  all_10_17 = e0 | all_10_18 = e0 | all_10_19 = e0
% 74.50/11.10  | | | | 
% 74.50/11.10  | | | | BETA: splitting (7) gives:
% 74.50/11.10  | | | | 
% 74.50/11.10  | | | | Case 1:
% 74.50/11.10  | | | | | 
% 74.50/11.10  | | | | |   (59)  all_6_14 = e4
% 74.50/11.10  | | | | | 
% 74.50/11.10  | | | | | COMBINE_EQS: (21), (59) imply:
% 74.50/11.10  | | | | |   (60)  all_4_22 = e4
% 74.50/11.10  | | | | | 
% 74.50/11.10  | | | | | SIMP: (60) implies:
% 74.50/11.10  | | | | |   (61)  all_4_22 = e4
% 74.50/11.10  | | | | | 
% 74.50/11.10  | | | | | COMBINE_EQS: (28), (61) imply:
% 74.50/11.10  | | | | |   (62)  all_10_18 = e4
% 74.50/11.10  | | | | | 
% 74.50/11.10  | | | | | BETA: splitting (12) gives:
% 74.50/11.10  | | | | | 
% 74.50/11.10  | | | | | Case 1:
% 74.50/11.10  | | | | | | 
% 74.50/11.10  | | | | | |   (63)  all_6_9 = e4
% 74.50/11.10  | | | | | | 
% 74.50/11.10  | | | | | | REF_CLOSE: (4), (19), (63) are inconsistent by sub-proof #114.
% 74.50/11.10  | | | | | | 
% 74.50/11.10  | | | | | Case 2:
% 74.50/11.10  | | | | | | 
% 74.50/11.10  | | | | | | 
% 74.50/11.10  | | | | | | BETA: splitting (44) gives:
% 74.50/11.10  | | | | | | 
% 74.50/11.10  | | | | | | Case 1:
% 74.50/11.10  | | | | | | | 
% 74.50/11.10  | | | | | | |   (64)  all_6_9 = e1
% 74.50/11.10  | | | | | | | 
% 74.50/11.10  | | | | | | | REF_CLOSE: (4), (20), (64) are inconsistent by sub-proof #113.
% 74.50/11.10  | | | | | | | 
% 74.50/11.10  | | | | | | Case 2:
% 74.50/11.10  | | | | | | | 
% 74.50/11.10  | | | | | | |   (65)  all_6_9 = e3 | all_6_9 = e0
% 74.50/11.10  | | | | | | | 
% 74.50/11.10  | | | | | | | REF_CLOSE: (4), (9), (14), (24), (26), (41), (58), (62), (65) are
% 74.50/11.10  | | | | | | |            inconsistent by sub-proof #51.
% 74.50/11.10  | | | | | | | 
% 74.50/11.10  | | | | | | End of split
% 74.50/11.10  | | | | | | 
% 74.50/11.10  | | | | | End of split
% 74.50/11.10  | | | | | 
% 74.50/11.10  | | | | Case 2:
% 74.50/11.10  | | | | | 
% 74.50/11.10  | | | | |   (66)  all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 74.50/11.10  | | | | | 
% 74.50/11.10  | | | | | REF_CLOSE: (11), (18), (21), (36), (66) are inconsistent by sub-proof
% 74.50/11.10  | | | | |            #48.
% 74.50/11.10  | | | | | 
% 74.50/11.10  | | | | End of split
% 74.50/11.10  | | | | 
% 74.50/11.10  | | | End of split
% 74.50/11.10  | | | 
% 74.50/11.10  | | End of split
% 74.50/11.10  | | 
% 74.50/11.10  | Case 2:
% 74.50/11.10  | | 
% 74.50/11.10  | |   (67)  all_10_12 = e0 | all_10_20 = e0
% 74.50/11.10  | | 
% 74.50/11.10  | | REF_CLOSE: (2), (5), (9), (17), (67) are inconsistent by sub-proof #75.
% 74.50/11.10  | | 
% 74.50/11.10  | End of split
% 74.50/11.10  | 
% 74.50/11.10  End of proof
% 74.50/11.10  
% 74.50/11.10  Sub-proof #48 shows that the following formulas are inconsistent:
% 74.50/11.10  ----------------------------------------------------------------
% 74.50/11.10    (1)   ~ (all_4_22 = e0)
% 74.50/11.10    (2)   ~ (all_4_22 = e1)
% 74.50/11.10    (3)  all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 74.50/11.10    (4)   ~ (all_4_22 = e3)
% 74.50/11.10    (5)  all_6_14 = all_4_22
% 74.50/11.10  
% 74.50/11.10  Begin of proof
% 74.50/11.10  | 
% 74.50/11.10  | BETA: splitting (3) gives:
% 74.50/11.10  | 
% 74.50/11.10  | Case 1:
% 74.50/11.10  | | 
% 74.50/11.10  | |   (6)  all_6_14 = e1
% 74.50/11.10  | | 
% 74.50/11.10  | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #50.
% 74.50/11.10  | | 
% 74.50/11.10  | Case 2:
% 74.50/11.10  | | 
% 74.50/11.10  | |   (7)  all_6_14 = e3 | all_6_14 = e0
% 74.50/11.10  | | 
% 74.50/11.10  | | BETA: splitting (7) gives:
% 74.50/11.10  | | 
% 74.50/11.10  | | Case 1:
% 74.50/11.10  | | | 
% 74.50/11.10  | | |   (8)  all_6_14 = e3
% 74.50/11.10  | | | 
% 74.50/11.10  | | | REF_CLOSE: (4), (5), (8) are inconsistent by sub-proof #49.
% 74.50/11.10  | | | 
% 74.50/11.10  | | Case 2:
% 74.50/11.10  | | | 
% 74.50/11.10  | | |   (9)  all_6_14 = e0
% 74.50/11.10  | | | 
% 74.50/11.10  | | | COMBINE_EQS: (5), (9) imply:
% 74.50/11.10  | | |   (10)  all_4_22 = e0
% 74.50/11.10  | | | 
% 74.50/11.10  | | | SIMP: (10) implies:
% 74.50/11.10  | | |   (11)  all_4_22 = e0
% 74.50/11.10  | | | 
% 74.50/11.10  | | | REDUCE: (1), (11) imply:
% 74.50/11.10  | | |   (12)  $false
% 74.50/11.10  | | | 
% 74.50/11.10  | | | CLOSE: (12) is inconsistent.
% 74.50/11.10  | | | 
% 74.50/11.10  | | End of split
% 74.50/11.10  | | 
% 74.50/11.10  | End of split
% 74.50/11.10  | 
% 74.50/11.10  End of proof
% 74.50/11.10  
% 74.50/11.10  Sub-proof #49 shows that the following formulas are inconsistent:
% 74.50/11.10  ----------------------------------------------------------------
% 74.50/11.10    (1)  all_6_14 = all_4_22
% 74.50/11.10    (2)  all_6_14 = e3
% 74.50/11.10    (3)   ~ (all_4_22 = e3)
% 74.50/11.10  
% 74.50/11.10  Begin of proof
% 74.50/11.10  | 
% 74.50/11.10  | COMBINE_EQS: (1), (2) imply:
% 74.50/11.10  |   (4)  all_4_22 = e3
% 74.50/11.10  | 
% 74.50/11.10  | SIMP: (4) implies:
% 74.50/11.10  |   (5)  all_4_22 = e3
% 74.50/11.10  | 
% 74.50/11.10  | REDUCE: (3), (5) imply:
% 74.50/11.10  |   (6)  $false
% 74.50/11.10  | 
% 74.50/11.10  | CLOSE: (6) is inconsistent.
% 74.50/11.10  | 
% 74.50/11.10  End of proof
% 74.50/11.10  
% 74.50/11.10  Sub-proof #50 shows that the following formulas are inconsistent:
% 74.50/11.10  ----------------------------------------------------------------
% 74.50/11.10    (1)  all_6_14 = all_4_22
% 74.50/11.10    (2)  all_6_14 = e1
% 74.50/11.10    (3)   ~ (all_4_22 = e1)
% 74.50/11.10  
% 74.50/11.10  Begin of proof
% 74.50/11.10  | 
% 74.50/11.10  | COMBINE_EQS: (1), (2) imply:
% 74.50/11.10  |   (4)  all_4_22 = e1
% 74.50/11.10  | 
% 74.50/11.10  | SIMP: (4) implies:
% 74.50/11.10  |   (5)  all_4_22 = e1
% 74.50/11.10  | 
% 74.50/11.10  | REDUCE: (3), (5) imply:
% 74.50/11.10  |   (6)  $false
% 74.50/11.10  | 
% 74.50/11.10  | CLOSE: (6) is inconsistent.
% 74.50/11.10  | 
% 74.50/11.10  End of proof
% 74.50/11.10  
% 74.50/11.10  Sub-proof #51 shows that the following formulas are inconsistent:
% 74.50/11.10  ----------------------------------------------------------------
% 74.50/11.10    (1)   ~ (e2 = e0)
% 74.50/11.10    (2)  all_6_9 = all_4_21
% 74.50/11.10    (3)   ~ (e4 = e0)
% 74.50/11.10    (4)  all_10_18 = e4
% 74.50/11.10    (5)  all_10_17 = all_4_21
% 74.50/11.10    (6)  all_10_17 = e0 | all_10_18 = e0 | all_10_19 = e0
% 74.50/11.10    (7)  all_6_9 = e3 | all_6_9 = e0
% 74.50/11.10    (8)  all_10_19 = e2
% 74.50/11.10    (9)   ~ (all_4_21 = e0)
% 74.50/11.10  
% 74.50/11.10  Begin of proof
% 74.50/11.10  | 
% 74.50/11.10  | BETA: splitting (7) gives:
% 74.50/11.10  | 
% 74.50/11.10  | Case 1:
% 74.50/11.10  | | 
% 74.50/11.10  | |   (10)  all_6_9 = e3
% 74.50/11.10  | | 
% 74.50/11.10  | | COMBINE_EQS: (2), (10) imply:
% 74.50/11.10  | |   (11)  all_4_21 = e3
% 74.50/11.10  | | 
% 74.50/11.10  | | SIMP: (11) implies:
% 74.50/11.10  | |   (12)  all_4_21 = e3
% 74.50/11.10  | | 
% 74.50/11.10  | | COMBINE_EQS: (5), (12) imply:
% 74.50/11.10  | |   (13)  all_10_17 = e3
% 74.50/11.10  | | 
% 74.50/11.10  | | REDUCE: (9), (12) imply:
% 74.50/11.10  | |   (14)   ~ (e3 = e0)
% 74.50/11.10  | | 
% 74.50/11.10  | | BETA: splitting (6) gives:
% 74.50/11.10  | | 
% 74.50/11.10  | | Case 1:
% 74.50/11.10  | | | 
% 74.50/11.10  | | |   (15)  all_10_17 = e0
% 74.50/11.10  | | | 
% 74.50/11.10  | | | COMBINE_EQS: (13), (15) imply:
% 74.50/11.10  | | |   (16)  e3 = e0
% 74.50/11.10  | | | 
% 74.50/11.10  | | | REDUCE: (14), (16) imply:
% 74.50/11.10  | | |   (17)  $false
% 74.50/11.10  | | | 
% 74.50/11.10  | | | CLOSE: (17) is inconsistent.
% 74.50/11.10  | | | 
% 74.50/11.10  | | Case 2:
% 74.50/11.10  | | | 
% 74.50/11.10  | | |   (18)  all_10_18 = e0 | all_10_19 = e0
% 74.50/11.10  | | | 
% 74.50/11.10  | | | BETA: splitting (18) gives:
% 74.50/11.10  | | | 
% 74.50/11.10  | | | Case 1:
% 74.50/11.10  | | | | 
% 74.50/11.10  | | | |   (19)  all_10_18 = e0
% 74.50/11.10  | | | | 
% 74.50/11.10  | | | | COMBINE_EQS: (4), (19) imply:
% 74.50/11.10  | | | |   (20)  e4 = e0
% 74.50/11.10  | | | | 
% 74.50/11.10  | | | | REDUCE: (3), (20) imply:
% 74.50/11.10  | | | |   (21)  $false
% 74.50/11.10  | | | | 
% 74.50/11.10  | | | | CLOSE: (21) is inconsistent.
% 74.50/11.10  | | | | 
% 74.50/11.10  | | | Case 2:
% 74.50/11.10  | | | | 
% 74.50/11.10  | | | |   (22)  all_10_19 = e0
% 74.50/11.10  | | | | 
% 74.50/11.10  | | | | COMBINE_EQS: (8), (22) imply:
% 74.50/11.10  | | | |   (23)  e2 = e0
% 74.50/11.10  | | | | 
% 74.50/11.10  | | | | REDUCE: (1), (23) imply:
% 74.50/11.10  | | | |   (24)  $false
% 74.50/11.10  | | | | 
% 74.50/11.10  | | | | CLOSE: (24) is inconsistent.
% 74.50/11.10  | | | | 
% 74.50/11.10  | | | End of split
% 74.50/11.10  | | | 
% 74.50/11.10  | | End of split
% 74.50/11.10  | | 
% 74.50/11.10  | Case 2:
% 74.50/11.10  | | 
% 74.50/11.10  | |   (25)  all_6_9 = e0
% 74.50/11.10  | | 
% 74.50/11.10  | | REF_CLOSE: (2), (9), (25) are inconsistent by sub-proof #112.
% 74.50/11.10  | | 
% 74.50/11.10  | End of split
% 74.50/11.10  | 
% 74.50/11.10  End of proof
% 74.50/11.10  
% 74.50/11.10  Sub-proof #52 shows that the following formulas are inconsistent:
% 74.50/11.10  ----------------------------------------------------------------
% 74.50/11.10    (1)  all_6_14 = all_4_22
% 74.50/11.10    (2)  all_6_14 = e2
% 74.50/11.10    (3)   ~ (all_4_22 = e2)
% 74.50/11.10  
% 74.50/11.10  Begin of proof
% 74.50/11.10  | 
% 74.50/11.10  | COMBINE_EQS: (1), (2) imply:
% 74.50/11.10  |   (4)  all_4_22 = e2
% 74.50/11.10  | 
% 74.50/11.10  | SIMP: (4) implies:
% 74.50/11.10  |   (5)  all_4_22 = e2
% 74.50/11.10  | 
% 74.50/11.10  | REDUCE: (3), (5) imply:
% 74.50/11.10  |   (6)  $false
% 74.50/11.10  | 
% 74.50/11.10  | CLOSE: (6) is inconsistent.
% 74.50/11.10  | 
% 74.50/11.10  End of proof
% 74.50/11.10  
% 74.50/11.10  Sub-proof #53 shows that the following formulas are inconsistent:
% 74.50/11.10  ----------------------------------------------------------------
% 74.50/11.10    (1)  all_10_5 = all_4_11
% 74.50/11.10    (2)  all_10_5 = e2
% 74.50/11.10    (3)   ~ (all_4_11 = e2)
% 74.50/11.10  
% 74.50/11.10  Begin of proof
% 74.50/11.10  | 
% 74.50/11.10  | COMBINE_EQS: (1), (2) imply:
% 74.50/11.10  |   (4)  all_4_11 = e2
% 74.50/11.10  | 
% 74.50/11.10  | SIMP: (4) implies:
% 74.50/11.10  |   (5)  all_4_11 = e2
% 74.50/11.10  | 
% 74.50/11.10  | REDUCE: (3), (5) imply:
% 74.50/11.10  |   (6)  $false
% 74.50/11.10  | 
% 74.50/11.10  | CLOSE: (6) is inconsistent.
% 74.50/11.10  | 
% 74.50/11.10  End of proof
% 74.50/11.10  
% 74.50/11.10  Sub-proof #54 shows that the following formulas are inconsistent:
% 74.50/11.10  ----------------------------------------------------------------
% 74.50/11.10    (1)  all_10_3 = e2
% 74.50/11.10    (2)  all_10_3 = e0
% 74.50/11.10    (3)   ~ (e2 = e0)
% 74.50/11.10  
% 74.50/11.10  Begin of proof
% 74.50/11.10  | 
% 74.50/11.10  | COMBINE_EQS: (1), (2) imply:
% 74.50/11.10  |   (4)  e2 = e0
% 74.50/11.10  | 
% 74.50/11.10  | SIMP: (4) implies:
% 74.50/11.10  |   (5)  e2 = e0
% 74.50/11.10  | 
% 74.50/11.10  | REDUCE: (3), (5) imply:
% 74.50/11.10  |   (6)  $false
% 74.50/11.10  | 
% 74.50/11.10  | CLOSE: (6) is inconsistent.
% 74.50/11.10  | 
% 74.50/11.10  End of proof
% 74.50/11.10  
% 74.50/11.10  Sub-proof #55 shows that the following formulas are inconsistent:
% 74.50/11.10  ----------------------------------------------------------------
% 74.50/11.10    (1)  all_10_2 = all_4_1
% 74.50/11.10    (2)  all_10_2 = e2
% 74.50/11.10    (3)   ~ (all_4_1 = e2)
% 74.50/11.10  
% 74.50/11.10  Begin of proof
% 74.50/11.10  | 
% 74.50/11.10  | COMBINE_EQS: (1), (2) imply:
% 74.50/11.10  |   (4)  all_4_1 = e2
% 74.50/11.10  | 
% 74.50/11.10  | SIMP: (4) implies:
% 74.50/11.10  |   (5)  all_4_1 = e2
% 74.50/11.10  | 
% 74.50/11.10  | REDUCE: (3), (5) imply:
% 74.50/11.10  |   (6)  $false
% 74.50/11.10  | 
% 74.50/11.10  | CLOSE: (6) is inconsistent.
% 74.50/11.10  | 
% 74.50/11.10  End of proof
% 74.50/11.10  
% 74.50/11.10  Sub-proof #56 shows that the following formulas are inconsistent:
% 74.50/11.10  ----------------------------------------------------------------
% 74.50/11.10    (1)  all_8_68 = e4
% 74.50/11.10    (2)  all_8_68 = e1
% 74.50/11.10    (3)   ~ (e4 = e1)
% 74.50/11.10  
% 74.50/11.10  Begin of proof
% 74.50/11.10  | 
% 74.50/11.10  | COMBINE_EQS: (1), (2) imply:
% 74.50/11.10  |   (4)  e4 = e1
% 74.50/11.10  | 
% 74.50/11.10  | SIMP: (4) implies:
% 74.50/11.10  |   (5)  e4 = e1
% 74.50/11.10  | 
% 74.50/11.10  | REDUCE: (3), (5) imply:
% 74.50/11.10  |   (6)  $false
% 74.50/11.10  | 
% 74.50/11.10  | CLOSE: (6) is inconsistent.
% 74.50/11.10  | 
% 74.50/11.10  End of proof
% 74.50/11.10  
% 74.50/11.10  Sub-proof #57 shows that the following formulas are inconsistent:
% 74.50/11.10  ----------------------------------------------------------------
% 74.50/11.10    (1)  all_8_67 = e3
% 74.50/11.10    (2)  all_8_67 = e1
% 74.50/11.10    (3)   ~ (e3 = e1)
% 74.50/11.10  
% 74.50/11.10  Begin of proof
% 74.50/11.10  | 
% 74.50/11.10  | COMBINE_EQS: (1), (2) imply:
% 74.50/11.10  |   (4)  e3 = e1
% 74.50/11.10  | 
% 74.50/11.10  | SIMP: (4) implies:
% 74.50/11.10  |   (5)  e3 = e1
% 74.50/11.10  | 
% 74.50/11.10  | REDUCE: (3), (5) imply:
% 74.50/11.10  |   (6)  $false
% 74.50/11.10  | 
% 74.50/11.10  | CLOSE: (6) is inconsistent.
% 74.50/11.10  | 
% 74.50/11.10  End of proof
% 74.50/11.10  
% 74.50/11.10  Sub-proof #58 shows that the following formulas are inconsistent:
% 74.50/11.10  ----------------------------------------------------------------
% 74.50/11.10    (1)  all_10_14 = e0
% 74.50/11.10    (2)  all_10_15 = e4
% 74.50/11.10    (3)   ~ (e2 = e1)
% 74.50/11.10    (4)  all_10_14 = e1 | all_10_15 = e1 | all_10_19 = e1
% 74.50/11.10    (5)  all_10_19 = e2
% 74.50/11.10    (6)   ~ (e1 = e0)
% 74.50/11.10    (7)   ~ (e4 = e1)
% 74.50/11.10  
% 74.50/11.10  Begin of proof
% 74.50/11.10  | 
% 74.50/11.10  | BETA: splitting (4) gives:
% 74.50/11.10  | 
% 74.50/11.10  | Case 1:
% 74.50/11.10  | | 
% 74.50/11.10  | |   (8)  all_10_14 = e1
% 74.50/11.10  | | 
% 74.50/11.10  | | COMBINE_EQS: (1), (8) imply:
% 74.50/11.10  | |   (9)  e1 = e0
% 74.50/11.10  | | 
% 74.50/11.10  | | REDUCE: (6), (9) imply:
% 74.50/11.10  | |   (10)  $false
% 74.50/11.10  | | 
% 74.50/11.10  | | CLOSE: (10) is inconsistent.
% 74.50/11.10  | | 
% 74.50/11.10  | Case 2:
% 74.50/11.10  | | 
% 74.50/11.10  | |   (11)  all_10_15 = e1 | all_10_19 = e1
% 74.50/11.10  | | 
% 74.50/11.10  | | BETA: splitting (11) gives:
% 74.50/11.10  | | 
% 74.50/11.10  | | Case 1:
% 74.50/11.10  | | | 
% 74.50/11.10  | | |   (12)  all_10_15 = e1
% 74.50/11.10  | | | 
% 74.50/11.10  | | | COMBINE_EQS: (2), (12) imply:
% 74.50/11.10  | | |   (13)  e4 = e1
% 74.50/11.10  | | | 
% 74.50/11.10  | | | REDUCE: (7), (13) imply:
% 74.50/11.10  | | |   (14)  $false
% 74.50/11.10  | | | 
% 74.50/11.10  | | | CLOSE: (14) is inconsistent.
% 74.50/11.10  | | | 
% 74.50/11.10  | | Case 2:
% 74.50/11.10  | | | 
% 74.50/11.10  | | |   (15)  all_10_19 = e1
% 74.50/11.10  | | | 
% 74.50/11.10  | | | COMBINE_EQS: (5), (15) imply:
% 74.50/11.10  | | |   (16)  e2 = e1
% 74.50/11.10  | | | 
% 74.50/11.10  | | | SIMP: (16) implies:
% 74.50/11.10  | | |   (17)  e2 = e1
% 74.50/11.10  | | | 
% 74.50/11.10  | | | REDUCE: (3), (17) imply:
% 74.50/11.10  | | |   (18)  $false
% 74.50/11.10  | | | 
% 74.50/11.10  | | | CLOSE: (18) is inconsistent.
% 74.50/11.10  | | | 
% 74.50/11.10  | | End of split
% 74.50/11.10  | | 
% 74.50/11.10  | End of split
% 74.50/11.10  | 
% 74.50/11.10  End of proof
% 74.50/11.10  
% 74.50/11.10  Sub-proof #59 shows that the following formulas are inconsistent:
% 74.50/11.10  ----------------------------------------------------------------
% 74.50/11.10    (1)  all_10_12 = all_4_3
% 74.50/11.10    (2)  all_10_12 = e1
% 74.50/11.10    (3)   ~ (all_4_3 = e1)
% 74.50/11.10  
% 74.50/11.10  Begin of proof
% 74.50/11.10  | 
% 74.50/11.10  | COMBINE_EQS: (1), (2) imply:
% 74.50/11.10  |   (4)  all_4_3 = e1
% 74.50/11.10  | 
% 74.50/11.10  | SIMP: (4) implies:
% 74.50/11.10  |   (5)  all_4_3 = e1
% 74.50/11.10  | 
% 74.50/11.10  | REDUCE: (3), (5) imply:
% 74.50/11.10  |   (6)  $false
% 74.50/11.10  | 
% 74.50/11.10  | CLOSE: (6) is inconsistent.
% 74.50/11.10  | 
% 74.50/11.10  End of proof
% 74.50/11.10  
% 74.50/11.10  Sub-proof #60 shows that the following formulas are inconsistent:
% 74.50/11.10  ----------------------------------------------------------------
% 74.50/11.10    (1)  all_10_15 = e4
% 74.50/11.10    (2)  all_10_19 = all_4_23
% 74.50/11.10    (3)   ~ (e4 = e2)
% 74.50/11.10    (4)   ~ (all_4_23 = e2)
% 74.50/11.10    (5)  all_10_15 = e2 | all_10_19 = e2
% 74.50/11.10  
% 74.50/11.10  Begin of proof
% 74.50/11.10  | 
% 74.50/11.10  | BETA: splitting (5) gives:
% 74.50/11.10  | 
% 74.50/11.10  | Case 1:
% 74.50/11.10  | | 
% 74.50/11.10  | |   (6)  all_10_15 = e2
% 74.50/11.10  | | 
% 74.50/11.10  | | COMBINE_EQS: (1), (6) imply:
% 74.50/11.10  | |   (7)  e4 = e2
% 74.50/11.10  | | 
% 74.50/11.10  | | REDUCE: (3), (7) imply:
% 74.50/11.10  | |   (8)  $false
% 74.50/11.10  | | 
% 74.50/11.10  | | CLOSE: (8) is inconsistent.
% 74.50/11.10  | | 
% 74.50/11.10  | Case 2:
% 74.50/11.10  | | 
% 74.50/11.10  | |   (9)  all_10_19 = e2
% 74.50/11.10  | | 
% 74.50/11.10  | | COMBINE_EQS: (2), (9) imply:
% 74.50/11.10  | |   (10)  all_4_23 = e2
% 74.50/11.10  | | 
% 74.50/11.10  | | REDUCE: (4), (10) imply:
% 74.50/11.10  | |   (11)  $false
% 74.50/11.10  | | 
% 74.50/11.10  | | CLOSE: (11) is inconsistent.
% 74.50/11.10  | | 
% 74.50/11.10  | End of split
% 74.50/11.10  | 
% 74.50/11.10  End of proof
% 74.50/11.10  
% 74.50/11.10  Sub-proof #61 shows that the following formulas are inconsistent:
% 74.50/11.10  ----------------------------------------------------------------
% 74.50/11.10    (1)   ~ (all_4_2 = e1)
% 74.50/11.10    (2)   ~ (all_4_2 = e3)
% 74.50/11.10    (3)  all_6_10 = all_4_2
% 74.50/11.10    (4)   ~ (all_4_2 = e0)
% 74.50/11.10    (5)   ~ (all_4_2 = e4)
% 74.50/11.11    (6)  all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 74.50/11.11  
% 74.50/11.11  Begin of proof
% 74.50/11.11  | 
% 74.50/11.11  | BETA: splitting (6) gives:
% 74.50/11.11  | 
% 74.50/11.11  | Case 1:
% 74.50/11.11  | | 
% 74.50/11.11  | |   (7)  all_6_10 = e4
% 74.50/11.11  | | 
% 74.50/11.11  | | COMBINE_EQS: (3), (7) imply:
% 74.50/11.11  | |   (8)  all_4_2 = e4
% 74.50/11.11  | | 
% 74.50/11.11  | | REDUCE: (5), (8) imply:
% 74.50/11.11  | |   (9)  $false
% 74.50/11.11  | | 
% 74.50/11.11  | | CLOSE: (9) is inconsistent.
% 74.50/11.11  | | 
% 74.50/11.11  | Case 2:
% 74.50/11.11  | | 
% 74.50/11.11  | |   (10)  all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 74.50/11.11  | | 
% 74.50/11.11  | | BETA: splitting (10) gives:
% 74.50/11.11  | | 
% 74.50/11.11  | | Case 1:
% 74.50/11.11  | | | 
% 74.50/11.11  | | |   (11)  all_6_10 = e1
% 74.50/11.11  | | | 
% 74.50/11.11  | | | REF_CLOSE: (1), (3), (11) are inconsistent by sub-proof #103.
% 74.50/11.11  | | | 
% 74.50/11.11  | | Case 2:
% 74.50/11.11  | | | 
% 74.50/11.11  | | |   (12)  all_6_10 = e3 | all_6_10 = e0
% 74.50/11.11  | | | 
% 74.50/11.11  | | | REF_CLOSE: (2), (3), (4), (12) are inconsistent by sub-proof #62.
% 74.50/11.11  | | | 
% 74.50/11.11  | | End of split
% 74.50/11.11  | | 
% 74.50/11.11  | End of split
% 74.50/11.11  | 
% 74.50/11.11  End of proof
% 74.50/11.11  
% 74.50/11.11  Sub-proof #62 shows that the following formulas are inconsistent:
% 74.50/11.11  ----------------------------------------------------------------
% 74.50/11.11    (1)  all_6_10 = e3 | all_6_10 = e0
% 74.50/11.11    (2)  all_6_10 = all_4_2
% 74.50/11.11    (3)   ~ (all_4_2 = e3)
% 74.50/11.11    (4)   ~ (all_4_2 = e0)
% 74.50/11.11  
% 74.50/11.11  Begin of proof
% 74.50/11.11  | 
% 74.50/11.11  | BETA: splitting (1) gives:
% 74.50/11.11  | 
% 74.50/11.11  | Case 1:
% 74.50/11.11  | | 
% 74.50/11.11  | |   (5)  all_6_10 = e3
% 74.50/11.11  | | 
% 74.50/11.11  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #102.
% 74.50/11.11  | | 
% 74.50/11.11  | Case 2:
% 74.50/11.11  | | 
% 74.50/11.11  | |   (6)  all_6_10 = e0
% 74.50/11.11  | | 
% 74.50/11.11  | | COMBINE_EQS: (2), (6) imply:
% 74.50/11.11  | |   (7)  all_4_2 = e0
% 74.50/11.11  | | 
% 74.50/11.11  | | SIMP: (7) implies:
% 74.50/11.11  | |   (8)  all_4_2 = e0
% 74.50/11.11  | | 
% 74.50/11.11  | | REDUCE: (4), (8) imply:
% 74.50/11.11  | |   (9)  $false
% 74.50/11.11  | | 
% 74.50/11.11  | | CLOSE: (9) is inconsistent.
% 74.50/11.11  | | 
% 74.50/11.11  | End of split
% 74.50/11.11  | 
% 74.50/11.11  End of proof
% 74.50/11.11  
% 74.50/11.11  Sub-proof #63 shows that the following formulas are inconsistent:
% 74.50/11.11  ----------------------------------------------------------------
% 74.50/11.11    (1)   ~ (all_4_20 = e3)
% 74.50/11.11    (2)  all_10_9 = e3 | all_10_16 = e3
% 74.50/11.11    (3)  all_10_16 = all_4_20
% 74.50/11.11    (4)  all_10_9 = all_4_15
% 74.50/11.11    (5)   ~ (all_4_15 = e3)
% 74.50/11.11  
% 74.50/11.11  Begin of proof
% 74.50/11.11  | 
% 74.50/11.11  | BETA: splitting (2) gives:
% 74.50/11.11  | 
% 74.50/11.11  | Case 1:
% 74.50/11.11  | | 
% 74.50/11.11  | |   (6)  all_10_9 = e3
% 74.50/11.11  | | 
% 74.50/11.11  | | COMBINE_EQS: (4), (6) imply:
% 74.50/11.11  | |   (7)  all_4_15 = e3
% 74.50/11.11  | | 
% 74.50/11.11  | | REDUCE: (5), (7) imply:
% 74.50/11.11  | |   (8)  $false
% 74.50/11.11  | | 
% 74.50/11.11  | | CLOSE: (8) is inconsistent.
% 74.50/11.11  | | 
% 74.50/11.11  | Case 2:
% 74.50/11.11  | | 
% 74.50/11.11  | |   (9)  all_10_16 = e3
% 74.50/11.11  | | 
% 74.50/11.11  | | COMBINE_EQS: (3), (9) imply:
% 74.50/11.11  | |   (10)  all_4_20 = e3
% 74.50/11.11  | | 
% 74.50/11.11  | | REDUCE: (1), (10) imply:
% 74.50/11.11  | |   (11)  $false
% 74.50/11.11  | | 
% 74.50/11.11  | | CLOSE: (11) is inconsistent.
% 74.50/11.11  | | 
% 74.50/11.11  | End of split
% 74.50/11.11  | 
% 74.50/11.11  End of proof
% 74.50/11.11  
% 74.50/11.11  Sub-proof #64 shows that the following formulas are inconsistent:
% 74.50/11.11  ----------------------------------------------------------------
% 74.50/11.11    (1)  all_10_21 = all_4_9
% 74.50/11.11    (2)   ~ (all_4_9 = e2)
% 74.50/11.11    (3)  all_10_13 = e2 | all_10_21 = e2
% 74.50/11.11    (4)  all_10_13 = all_4_8
% 74.50/11.11    (5)   ~ (all_4_8 = e2)
% 74.50/11.11  
% 74.50/11.11  Begin of proof
% 74.50/11.11  | 
% 74.50/11.11  | BETA: splitting (3) gives:
% 74.50/11.11  | 
% 74.50/11.11  | Case 1:
% 74.50/11.11  | | 
% 74.50/11.11  | |   (6)  all_10_13 = e2
% 74.50/11.11  | | 
% 74.50/11.11  | | REF_CLOSE: (4), (5), (6) are inconsistent by sub-proof #88.
% 74.50/11.11  | | 
% 74.50/11.11  | Case 2:
% 74.50/11.11  | | 
% 74.50/11.11  | |   (7)  all_10_21 = e2
% 74.50/11.11  | | 
% 74.50/11.11  | | COMBINE_EQS: (1), (7) imply:
% 74.50/11.11  | |   (8)  all_4_9 = e2
% 74.50/11.11  | | 
% 74.50/11.11  | | REDUCE: (2), (8) imply:
% 74.50/11.11  | |   (9)  $false
% 74.50/11.11  | | 
% 74.50/11.11  | | CLOSE: (9) is inconsistent.
% 74.50/11.11  | | 
% 74.50/11.11  | End of split
% 74.50/11.11  | 
% 74.50/11.11  End of proof
% 74.50/11.11  
% 74.50/11.11  Sub-proof #65 shows that the following formulas are inconsistent:
% 74.50/11.11  ----------------------------------------------------------------
% 74.50/11.11    (1)  all_10_3 = e2
% 74.50/11.11    (2)  all_10_3 = e1
% 74.50/11.11    (3)   ~ (e2 = e1)
% 74.50/11.11  
% 74.50/11.11  Begin of proof
% 74.50/11.11  | 
% 74.50/11.11  | COMBINE_EQS: (1), (2) imply:
% 74.50/11.11  |   (4)  e2 = e1
% 74.50/11.11  | 
% 74.50/11.11  | SIMP: (4) implies:
% 74.50/11.11  |   (5)  e2 = e1
% 74.50/11.11  | 
% 74.50/11.11  | REDUCE: (3), (5) imply:
% 74.50/11.11  |   (6)  $false
% 74.50/11.11  | 
% 74.50/11.11  | CLOSE: (6) is inconsistent.
% 74.50/11.11  | 
% 74.50/11.11  End of proof
% 74.50/11.11  
% 74.50/11.11  Sub-proof #66 shows that the following formulas are inconsistent:
% 74.50/11.11  ----------------------------------------------------------------
% 74.50/11.11    (1)   ~ (all_4_14 = e3)
% 74.50/11.11    (2)  all_10_4 = all_4_10
% 74.50/11.11    (3)   ~ (all_4_10 = all_4_14)
% 74.50/11.11    (4)   ~ (all_4_14 = e0)
% 74.50/11.11    (5)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 74.50/11.11    (6)  all_10_23 = all_4_19
% 74.50/11.11    (7)   ~ (all_4_10 = e0)
% 74.50/11.11    (8)  all_10_20 = e1 | all_10_21 = e1 | all_10_22 = e1 | all_10_23 = e1 |
% 74.50/11.11         all_10_24 = e1
% 74.50/11.11    (9)  all_10_24 = e0
% 74.50/11.11    (10)  all_10_20 = all_4_4
% 74.50/11.11    (11)  all_10_22 = all_4_14
% 74.50/11.11    (12)  all_10_4 = e1
% 74.50/11.11    (13)  all_10_21 = e2
% 74.50/11.11    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.50/11.11            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.50/11.11    (15)  op(e1, all_4_19) = e0
% 74.50/11.11    (16)  all_6_22 = all_4_14
% 74.50/11.11    (17)   ~ (all_4_4 = e1)
% 74.50/11.11    (18)   ~ (all_4_10 = e2)
% 74.50/11.11    (19)  op(e1, e1) = e4
% 74.50/11.11  
% 74.50/11.11  Begin of proof
% 74.50/11.11  | 
% 74.50/11.11  | COMBINE_EQS: (2), (12) imply:
% 74.50/11.11  |   (20)  all_4_10 = e1
% 74.50/11.11  | 
% 74.50/11.11  | SIMP: (20) implies:
% 74.87/11.11  |   (21)  all_4_10 = e1
% 74.87/11.11  | 
% 74.87/11.11  | REDUCE: (3), (21) imply:
% 74.87/11.11  |   (22)   ~ (all_4_14 = e1)
% 74.87/11.11  | 
% 74.87/11.11  | SIMP: (22) implies:
% 74.87/11.11  |   (23)   ~ (all_4_14 = e1)
% 74.87/11.11  | 
% 74.87/11.11  | REDUCE: (18), (21) imply:
% 74.87/11.11  |   (24)   ~ (e2 = e1)
% 74.87/11.11  | 
% 74.87/11.11  | SIMP: (24) implies:
% 74.87/11.11  |   (25)   ~ (e2 = e1)
% 74.87/11.11  | 
% 74.87/11.11  | REDUCE: (7), (21) imply:
% 74.87/11.11  |   (26)   ~ (e1 = e0)
% 74.87/11.11  | 
% 74.87/11.11  | BETA: splitting (5) gives:
% 74.87/11.11  | 
% 74.87/11.11  | Case 1:
% 74.87/11.11  | | 
% 74.87/11.11  | |   (27)  all_6_22 = e4
% 74.87/11.11  | | 
% 74.87/11.11  | | COMBINE_EQS: (16), (27) imply:
% 74.87/11.11  | |   (28)  all_4_14 = e4
% 74.87/11.11  | | 
% 74.87/11.11  | | SIMP: (28) implies:
% 74.87/11.11  | |   (29)  all_4_14 = e4
% 74.87/11.11  | | 
% 74.87/11.11  | | COMBINE_EQS: (11), (29) imply:
% 74.87/11.11  | |   (30)  all_10_22 = e4
% 74.87/11.11  | | 
% 74.87/11.11  | | REDUCE: (23), (29) imply:
% 74.87/11.11  | |   (31)   ~ (e4 = e1)
% 74.87/11.11  | | 
% 74.87/11.11  | | REDUCE: (4), (29) imply:
% 74.87/11.11  | |   (32)   ~ (e4 = e0)
% 74.87/11.11  | | 
% 74.87/11.11  | | BETA: splitting (8) gives:
% 74.87/11.11  | | 
% 74.87/11.11  | | Case 1:
% 74.87/11.11  | | | 
% 74.87/11.11  | | |   (33)  all_10_20 = e1
% 74.87/11.11  | | | 
% 74.87/11.11  | | | COMBINE_EQS: (10), (33) imply:
% 74.87/11.11  | | |   (34)  all_4_4 = e1
% 74.87/11.11  | | | 
% 74.87/11.11  | | | SIMP: (34) implies:
% 74.87/11.11  | | |   (35)  all_4_4 = e1
% 74.87/11.11  | | | 
% 74.87/11.11  | | | REDUCE: (17), (35) imply:
% 74.87/11.11  | | |   (36)  $false
% 74.87/11.11  | | | 
% 74.87/11.11  | | | CLOSE: (36) is inconsistent.
% 74.87/11.11  | | | 
% 74.87/11.11  | | Case 2:
% 74.87/11.11  | | | 
% 74.87/11.11  | | |   (37)  all_10_21 = e1 | all_10_22 = e1 | all_10_23 = e1 | all_10_24 = e1
% 74.87/11.11  | | | 
% 74.87/11.11  | | | BETA: splitting (37) gives:
% 74.87/11.11  | | | 
% 74.87/11.11  | | | Case 1:
% 74.87/11.11  | | | | 
% 74.87/11.11  | | | |   (38)  all_10_21 = e1
% 74.87/11.11  | | | | 
% 74.87/11.11  | | | | COMBINE_EQS: (13), (38) imply:
% 74.87/11.11  | | | |   (39)  e2 = e1
% 74.87/11.11  | | | | 
% 74.87/11.11  | | | | SIMP: (39) implies:
% 74.87/11.11  | | | |   (40)  e2 = e1
% 74.87/11.11  | | | | 
% 74.87/11.11  | | | | REDUCE: (25), (40) imply:
% 74.87/11.11  | | | |   (41)  $false
% 74.87/11.11  | | | | 
% 74.87/11.11  | | | | CLOSE: (41) is inconsistent.
% 74.87/11.11  | | | | 
% 74.87/11.11  | | | Case 2:
% 74.87/11.11  | | | | 
% 74.87/11.11  | | | |   (42)  all_10_22 = e1 | all_10_23 = e1 | all_10_24 = e1
% 74.87/11.11  | | | | 
% 74.87/11.11  | | | | BETA: splitting (42) gives:
% 74.87/11.11  | | | | 
% 74.87/11.11  | | | | Case 1:
% 74.87/11.11  | | | | | 
% 74.87/11.11  | | | | |   (43)  all_10_22 = e1
% 74.87/11.11  | | | | | 
% 74.87/11.11  | | | | | COMBINE_EQS: (30), (43) imply:
% 74.87/11.11  | | | | |   (44)  e4 = e1
% 74.87/11.11  | | | | | 
% 74.87/11.11  | | | | | SIMP: (44) implies:
% 74.87/11.11  | | | | |   (45)  e4 = e1
% 74.87/11.11  | | | | | 
% 74.87/11.11  | | | | | REDUCE: (31), (45) imply:
% 74.87/11.11  | | | | |   (46)  $false
% 74.87/11.11  | | | | | 
% 74.87/11.11  | | | | | CLOSE: (46) is inconsistent.
% 74.87/11.11  | | | | | 
% 74.87/11.11  | | | | Case 2:
% 74.87/11.11  | | | | | 
% 74.87/11.11  | | | | |   (47)  all_10_23 = e1 | all_10_24 = e1
% 74.87/11.11  | | | | | 
% 74.87/11.11  | | | | | BETA: splitting (47) gives:
% 74.87/11.11  | | | | | 
% 74.87/11.11  | | | | | Case 1:
% 74.87/11.11  | | | | | | 
% 74.87/11.11  | | | | | |   (48)  all_10_23 = e1
% 74.87/11.11  | | | | | | 
% 74.87/11.11  | | | | | | COMBINE_EQS: (6), (48) imply:
% 74.87/11.11  | | | | | |   (49)  all_4_19 = e1
% 74.87/11.11  | | | | | | 
% 74.87/11.11  | | | | | | SIMP: (49) implies:
% 74.87/11.11  | | | | | |   (50)  all_4_19 = e1
% 74.87/11.11  | | | | | | 
% 74.87/11.11  | | | | | | REDUCE: (15), (50) imply:
% 74.87/11.11  | | | | | |   (51)  op(e1, e1) = e0
% 74.87/11.11  | | | | | | 
% 74.87/11.11  | | | | | | GROUND_INST: instantiating (14) with e4, e0, e1, e1, simplifying
% 74.87/11.11  | | | | | |              with (19), (51) gives:
% 74.87/11.11  | | | | | |   (52)  e4 = e0
% 74.87/11.11  | | | | | | 
% 74.87/11.11  | | | | | | REDUCE: (32), (52) imply:
% 74.87/11.11  | | | | | |   (53)  $false
% 74.87/11.11  | | | | | | 
% 74.87/11.11  | | | | | | CLOSE: (53) is inconsistent.
% 74.87/11.11  | | | | | | 
% 74.87/11.11  | | | | | Case 2:
% 74.87/11.11  | | | | | | 
% 74.87/11.11  | | | | | |   (54)  all_10_24 = e1
% 74.87/11.11  | | | | | | 
% 74.87/11.11  | | | | | | COMBINE_EQS: (9), (54) imply:
% 74.87/11.11  | | | | | |   (55)  e1 = e0
% 74.87/11.11  | | | | | | 
% 74.87/11.11  | | | | | | REDUCE: (26), (55) imply:
% 74.87/11.11  | | | | | |   (56)  $false
% 74.87/11.11  | | | | | | 
% 74.87/11.11  | | | | | | CLOSE: (56) is inconsistent.
% 74.87/11.11  | | | | | | 
% 74.87/11.11  | | | | | End of split
% 74.87/11.11  | | | | | 
% 74.87/11.11  | | | | End of split
% 74.87/11.11  | | | | 
% 74.87/11.11  | | | End of split
% 74.87/11.11  | | | 
% 74.87/11.11  | | End of split
% 74.87/11.11  | | 
% 74.87/11.11  | Case 2:
% 74.87/11.11  | | 
% 74.87/11.11  | |   (57)  all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 74.87/11.11  | | 
% 74.87/11.11  | | REF_CLOSE: (1), (4), (16), (23), (57) are inconsistent by sub-proof #130.
% 74.87/11.11  | | 
% 74.87/11.11  | End of split
% 74.87/11.11  | 
% 74.87/11.11  End of proof
% 74.87/11.11  
% 74.87/11.11  Sub-proof #67 shows that the following formulas are inconsistent:
% 74.87/11.11  ----------------------------------------------------------------
% 74.87/11.11    (1)   ~ (all_4_5 = e2)
% 74.87/11.11    (2)   ~ (all_4_19 = e0)
% 74.87/11.11    (3)  op(e1, e0) = e2
% 74.87/11.11    (4)   ~ (e3 = e2)
% 74.87/11.11    (5)  all_10_15 = e4
% 74.87/11.11    (6)   ~ (e4 = e0)
% 74.87/11.11    (7)  all_10_23 = all_4_19
% 74.87/11.11    (8)   ~ (all_4_5 = all_4_15)
% 74.87/11.11    (9)  all_10_11 = e2
% 74.87/11.11    (10)  op(e1, all_4_16) = e3
% 74.87/11.11    (11)  all_4_5 = e0
% 74.87/11.11    (12)  all_10_10 = all_4_16
% 74.87/11.11    (13)  all_10_9 = all_4_15
% 74.87/11.11    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.87/11.11            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.87/11.11    (15)  all_10_9 = e0 | all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 |
% 74.87/11.11          all_10_23 = e0
% 74.87/11.11  
% 74.87/11.11  Begin of proof
% 74.87/11.11  | 
% 74.87/11.11  | REDUCE: (8), (11) imply:
% 74.87/11.11  |   (16)   ~ (all_4_15 = e0)
% 74.87/11.11  | 
% 74.87/11.11  | SIMP: (16) implies:
% 74.87/11.11  |   (17)   ~ (all_4_15 = e0)
% 74.87/11.11  | 
% 74.87/11.11  | REDUCE: (1), (11) imply:
% 74.87/11.11  |   (18)   ~ (e2 = e0)
% 74.87/11.11  | 
% 74.87/11.11  | SIMP: (18) implies:
% 74.87/11.11  |   (19)   ~ (e2 = e0)
% 74.87/11.11  | 
% 74.87/11.11  | BETA: splitting (15) gives:
% 74.87/11.11  | 
% 74.87/11.11  | Case 1:
% 74.87/11.11  | | 
% 74.87/11.11  | |   (20)  all_10_9 = e0
% 74.87/11.11  | | 
% 74.87/11.11  | | COMBINE_EQS: (13), (20) imply:
% 74.87/11.11  | |   (21)  all_4_15 = e0
% 74.87/11.11  | | 
% 74.87/11.11  | | REDUCE: (17), (21) imply:
% 74.87/11.11  | |   (22)  $false
% 74.87/11.11  | | 
% 74.87/11.11  | | CLOSE: (22) is inconsistent.
% 74.87/11.11  | | 
% 74.87/11.11  | Case 2:
% 74.87/11.11  | | 
% 74.87/11.11  | |   (23)  all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 | all_10_23 = e0
% 74.87/11.11  | | 
% 74.87/11.11  | | BETA: splitting (23) gives:
% 74.87/11.11  | | 
% 74.87/11.11  | | Case 1:
% 74.87/11.11  | | | 
% 74.87/11.11  | | |   (24)  all_10_10 = e0
% 74.87/11.11  | | | 
% 74.87/11.11  | | | COMBINE_EQS: (12), (24) imply:
% 74.87/11.11  | | |   (25)  all_4_16 = e0
% 74.87/11.11  | | | 
% 74.87/11.11  | | | REDUCE: (10), (25) imply:
% 74.87/11.11  | | |   (26)  op(e1, e0) = e3
% 74.87/11.11  | | | 
% 74.87/11.11  | | | GROUND_INST: instantiating (14) with e2, e3, e0, e1, simplifying with (3),
% 74.87/11.11  | | |              (26) gives:
% 74.87/11.11  | | |   (27)  e3 = e2
% 74.87/11.11  | | | 
% 74.87/11.11  | | | REDUCE: (4), (27) imply:
% 74.87/11.11  | | |   (28)  $false
% 74.87/11.11  | | | 
% 74.87/11.11  | | | CLOSE: (28) is inconsistent.
% 74.87/11.11  | | | 
% 74.87/11.11  | | Case 2:
% 74.87/11.11  | | | 
% 74.87/11.11  | | |   (29)  all_10_11 = e0 | all_10_15 = e0 | all_10_23 = e0
% 74.87/11.11  | | | 
% 74.87/11.11  | | | REF_CLOSE: (2), (5), (6), (7), (9), (19), (29) are inconsistent by
% 74.87/11.11  | | |            sub-proof #79.
% 74.87/11.11  | | | 
% 74.87/11.11  | | End of split
% 74.87/11.11  | | 
% 74.87/11.11  | End of split
% 74.87/11.11  | 
% 74.87/11.11  End of proof
% 74.87/11.11  
% 74.87/11.11  Sub-proof #68 shows that the following formulas are inconsistent:
% 74.87/11.11  ----------------------------------------------------------------
% 74.87/11.11    (1)   ~ (all_4_1 = e0)
% 74.87/11.11    (2)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 74.87/11.11    (3)   ~ (all_4_7 = e3)
% 74.87/11.11    (4)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0
% 74.87/11.11    (5)  op(e3, e4) = all_4_1
% 74.87/11.11    (6)  op(e1, all_4_15) = e4
% 74.87/11.11    (7)   ~ (all_4_1 = e3)
% 74.87/11.11    (8)   ~ (all_4_5 = all_4_15)
% 74.87/11.12    (9)  all_6_5 = all_4_1
% 74.87/11.12    (10)  all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 74.87/11.12          all_10_23 = e3
% 74.87/11.12    (11)  op(e3, all_4_1) = all_8_2
% 74.87/11.12    (12)   ~ (all_4_1 = e1)
% 74.87/11.12    (13)  all_4_5 = e0
% 74.87/11.12    (14)  all_6_3 = all_4_15
% 74.87/11.12    (15)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 74.87/11.12    (16)   ~ (all_4_15 = e2)
% 74.87/11.12    (17)  all_10_9 = all_4_15
% 74.87/11.12    (18)   ~ (all_4_5 = all_4_7)
% 74.87/11.12    (19)  all_6_11 = all_4_7
% 74.87/11.12    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.87/11.12            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.87/11.12    (21)   ~ (all_4_15 = e1)
% 74.87/11.12    (22)   ~ (all_4_7 = e1)
% 74.87/11.12    (23)  op(e1, e3) = e3
% 74.87/11.12    (24)   ~ (all_4_15 = e4)
% 74.87/11.12    (25)  op(e3, all_4_7) = e2
% 74.87/11.12  
% 74.87/11.12  Begin of proof
% 74.87/11.12  | 
% 74.87/11.12  | REDUCE: (13), (18) imply:
% 74.87/11.12  |   (26)   ~ (all_4_7 = e0)
% 74.87/11.12  | 
% 74.87/11.12  | SIMP: (26) implies:
% 74.87/11.12  |   (27)   ~ (all_4_7 = e0)
% 74.87/11.12  | 
% 74.87/11.12  | REDUCE: (8), (13) imply:
% 74.87/11.12  |   (28)   ~ (all_4_15 = e0)
% 74.87/11.12  | 
% 74.87/11.12  | SIMP: (28) implies:
% 74.87/11.12  |   (29)   ~ (all_4_15 = e0)
% 74.87/11.12  | 
% 74.87/11.12  | BETA: splitting (4) gives:
% 74.87/11.12  | 
% 74.87/11.12  | Case 1:
% 74.87/11.12  | | 
% 74.87/11.12  | |   (30)  all_6_11 = e4
% 74.87/11.12  | | 
% 74.87/11.12  | | COMBINE_EQS: (19), (30) imply:
% 74.87/11.12  | |   (31)  all_4_7 = e4
% 74.87/11.12  | | 
% 74.87/11.12  | | SIMP: (31) implies:
% 74.87/11.12  | |   (32)  all_4_7 = e4
% 74.87/11.12  | | 
% 74.87/11.12  | | REDUCE: (25), (32) imply:
% 74.87/11.12  | |   (33)  op(e3, e4) = e2
% 74.87/11.12  | | 
% 74.87/11.12  | | BETA: splitting (15) gives:
% 74.87/11.12  | | 
% 74.87/11.12  | | Case 1:
% 74.87/11.12  | | | 
% 74.87/11.12  | | |   (34)  all_6_3 = e4
% 74.87/11.12  | | | 
% 74.87/11.12  | | | REF_CLOSE: (14), (24), (34) are inconsistent by sub-proof #149.
% 74.87/11.12  | | | 
% 74.87/11.12  | | Case 2:
% 74.87/11.12  | | | 
% 74.87/11.12  | | |   (35)  all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 74.87/11.12  | | | 
% 74.87/11.12  | | | BETA: splitting (10) gives:
% 74.87/11.12  | | | 
% 74.87/11.12  | | | Case 1:
% 74.87/11.12  | | | | 
% 74.87/11.12  | | | |   (36)  all_10_9 = e3
% 74.87/11.12  | | | | 
% 74.87/11.12  | | | | COMBINE_EQS: (17), (36) imply:
% 74.87/11.12  | | | |   (37)  all_4_15 = e3
% 74.87/11.12  | | | | 
% 74.87/11.12  | | | | REDUCE: (16), (37) imply:
% 74.87/11.12  | | | |   (38)   ~ (e3 = e2)
% 74.87/11.12  | | | | 
% 74.87/11.12  | | | | REDUCE: (6), (37) imply:
% 74.87/11.12  | | | |   (39)  op(e1, e3) = e4
% 74.87/11.12  | | | | 
% 74.87/11.12  | | | | BETA: splitting (2) gives:
% 74.87/11.12  | | | | 
% 74.87/11.12  | | | | Case 1:
% 74.87/11.12  | | | | | 
% 74.87/11.12  | | | | |   (40)  all_6_5 = e4
% 74.87/11.12  | | | | | 
% 74.87/11.12  | | | | | COMBINE_EQS: (9), (40) imply:
% 74.87/11.12  | | | | |   (41)  all_4_1 = e4
% 74.87/11.12  | | | | | 
% 74.87/11.12  | | | | | SIMP: (41) implies:
% 74.87/11.12  | | | | |   (42)  all_4_1 = e4
% 74.87/11.12  | | | | | 
% 74.87/11.12  | | | | | REDUCE: (11), (42) imply:
% 74.87/11.12  | | | | |   (43)  op(e3, e4) = all_8_2
% 74.87/11.12  | | | | | 
% 74.87/11.12  | | | | | REDUCE: (5), (42) imply:
% 74.87/11.12  | | | | |   (44)  op(e3, e4) = e4
% 74.87/11.12  | | | | | 
% 74.87/11.12  | | | | | GROUND_INST: instantiating (20) with e3, e4, e3, e1, simplifying with
% 74.87/11.12  | | | | |              (23), (39) gives:
% 74.87/11.12  | | | | |   (45)  e4 = e3
% 74.87/11.12  | | | | | 
% 74.87/11.12  | | | | | GROUND_INST: instantiating (20) with e4, all_8_2, e4, e3, simplifying
% 74.87/11.12  | | | | |              with (43), (44) gives:
% 74.87/11.12  | | | | |   (46)  all_8_2 = e4
% 74.87/11.12  | | | | | 
% 74.87/11.12  | | | | | GROUND_INST: instantiating (20) with e2, all_8_2, e4, e3, simplifying
% 74.87/11.12  | | | | |              with (33), (43) gives:
% 74.87/11.12  | | | | |   (47)  all_8_2 = e2
% 74.87/11.12  | | | | | 
% 74.87/11.12  | | | | | COMBINE_EQS: (46), (47) imply:
% 74.87/11.12  | | | | |   (48)  e4 = e2
% 74.87/11.12  | | | | | 
% 74.87/11.12  | | | | | SIMP: (48) implies:
% 74.87/11.12  | | | | |   (49)  e4 = e2
% 74.87/11.12  | | | | | 
% 74.87/11.12  | | | | | REF_CLOSE: (38), (45), (49) are inconsistent by sub-proof #69.
% 74.87/11.12  | | | | | 
% 74.87/11.12  | | | | Case 2:
% 74.87/11.12  | | | | | 
% 74.87/11.12  | | | | |   (50)  all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 74.87/11.12  | | | | | 
% 74.87/11.12  | | | | | REF_CLOSE: (1), (7), (9), (12), (50) are inconsistent by sub-proof
% 74.87/11.12  | | | | |            #140.
% 74.87/11.12  | | | | | 
% 74.87/11.12  | | | | End of split
% 74.87/11.12  | | | | 
% 74.87/11.12  | | | Case 2:
% 74.87/11.12  | | | | 
% 74.87/11.12  | | | |   (51)   ~ (all_10_9 = e3)
% 74.87/11.12  | | | | 
% 74.87/11.12  | | | | REF_CLOSE: (14), (17), (21), (29), (35), (51) are inconsistent by
% 74.87/11.12  | | | |            sub-proof #144.
% 74.87/11.12  | | | | 
% 74.87/11.12  | | | End of split
% 74.87/11.12  | | | 
% 74.87/11.12  | | End of split
% 74.87/11.12  | | 
% 74.87/11.12  | Case 2:
% 74.87/11.12  | | 
% 74.87/11.12  | |   (52)  all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0
% 74.87/11.12  | | 
% 74.87/11.12  | | REF_CLOSE: (3), (19), (22), (27), (52) are inconsistent by sub-proof #133.
% 74.87/11.12  | | 
% 74.87/11.12  | End of split
% 74.87/11.12  | 
% 74.87/11.12  End of proof
% 74.87/11.12  
% 74.87/11.12  Sub-proof #69 shows that the following formulas are inconsistent:
% 74.87/11.12  ----------------------------------------------------------------
% 74.87/11.12    (1)  e4 = e3
% 74.87/11.12    (2)  e4 = e2
% 74.87/11.12    (3)   ~ (e3 = e2)
% 74.87/11.12  
% 74.87/11.12  Begin of proof
% 74.87/11.12  | 
% 74.87/11.12  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.12  |   (4)  e3 = e2
% 74.87/11.12  | 
% 74.87/11.12  | SIMP: (4) implies:
% 74.87/11.12  |   (5)  e3 = e2
% 74.87/11.12  | 
% 74.87/11.12  | REDUCE: (3), (5) imply:
% 74.87/11.12  |   (6)  $false
% 74.87/11.12  | 
% 74.87/11.12  | CLOSE: (6) is inconsistent.
% 74.87/11.12  | 
% 74.87/11.12  End of proof
% 74.87/11.12  
% 74.87/11.12  Sub-proof #70 shows that the following formulas are inconsistent:
% 74.87/11.12  ----------------------------------------------------------------
% 74.87/11.12    (1)  all_6_20 = all_4_4
% 74.87/11.12    (2)   ~ (all_4_20 = e1)
% 74.87/11.12    (3)   ~ (all_4_19 = e0)
% 74.87/11.12    (4)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 74.87/11.12    (5)   ~ (all_4_10 = e3)
% 74.87/11.12    (6)   ~ (e3 = e2)
% 74.87/11.12    (7)  all_10_4 = all_4_10
% 74.87/11.12    (8)   ~ (all_4_16 = e2)
% 74.87/11.12    (9)  all_10_1 = all_4_5
% 74.87/11.12    (10)  all_10_15 = e4
% 74.87/11.12    (11)   ~ (all_4_20 = all_4_21)
% 74.87/11.12    (12)   ~ (e2 = e0)
% 74.87/11.12    (13)  all_6_9 = all_4_21
% 74.87/11.12    (14)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 74.87/11.12    (15)   ~ (all_4_16 = all_4_21)
% 74.87/11.12    (16)   ~ (e3 = e1)
% 74.87/11.12    (17)  all_10_16 = all_4_20
% 74.87/11.12    (18)  all_10_0 = e1 | all_10_1 = e1 | all_10_4 = e1 | all_10_9 = e1 |
% 74.87/11.12          all_10_16 = e1
% 74.87/11.12    (19)  all_10_23 = all_4_19
% 74.87/11.12    (20)   ~ (all_4_10 = e0)
% 74.87/11.12    (21)   ~ (all_4_5 = e3)
% 74.87/11.12    (22)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 74.87/11.12    (23)  op(e4, e4) = e2
% 74.87/11.12    (24)   ~ (all_4_5 = e1)
% 74.87/11.12    (25)  all_6_5 = all_4_1
% 74.87/11.12    (26)  all_10_20 = all_4_4
% 74.87/11.12    (27)   ~ (all_4_1 = e1)
% 74.87/11.12    (28)   ~ (e2 = e1)
% 74.87/11.12    (29)   ~ (all_4_1 = all_4_21)
% 74.87/11.12    (30)  all_10_11 = e2
% 74.87/11.12    (31)  all_10_0 = e3 | all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 74.87/11.12          all_10_16 = e3
% 74.87/11.12    (32)   ~ (all_4_4 = e0)
% 74.87/11.12    (33)  all_10_2 = e3 | all_10_3 = e3 | all_10_5 = e3 | all_10_10 = e3 |
% 74.87/11.12          all_10_17 = e3
% 74.87/11.12    (34)  all_10_2 = all_4_1
% 74.87/11.12    (35)  all_10_10 = all_4_16
% 74.87/11.12    (36)   ~ (all_10_4 = e1)
% 74.87/11.12    (37)   ~ (all_4_21 = e1)
% 74.87/11.12    (38)  all_10_20 = e4 | all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 74.87/11.12          all_10_24 = e4
% 74.87/11.12    (39)   ~ (e1 = e0)
% 74.87/11.12    (40)   ~ (all_4_1 = all_4_16)
% 74.87/11.12    (41)  op(e4, all_4_10) = all_8_27
% 74.87/11.12    (42)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.87/11.12            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.87/11.12    (43)  op(e4, all_4_4) = e0
% 74.87/11.12    (44)  all_6_2 = all_4_10
% 74.87/11.12    (45)   ~ (all_4_1 = all_4_4)
% 74.87/11.12    (46)  all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 74.87/11.12          all_10_22 = e4
% 74.87/11.12    (47)   ~ (all_4_4 = e1)
% 74.87/11.12    (48)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.87/11.12    (49)  all_10_0 = e2
% 74.87/11.12    (50)  all_10_9 = e0 | all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 |
% 74.87/11.12          all_10_23 = e0
% 74.87/11.12  
% 74.87/11.12  Begin of proof
% 74.87/11.12  | 
% 74.87/11.12  | REDUCE: (7), (36) imply:
% 74.87/11.12  |   (51)   ~ (all_4_10 = e1)
% 74.87/11.12  | 
% 74.87/11.12  | BETA: splitting (18) gives:
% 74.87/11.12  | 
% 74.87/11.12  | Case 1:
% 74.87/11.12  | | 
% 74.87/11.12  | |   (52)  all_10_0 = e1
% 74.87/11.12  | | 
% 74.87/11.12  | | COMBINE_EQS: (49), (52) imply:
% 74.87/11.12  | |   (53)  e2 = e1
% 74.87/11.12  | | 
% 74.87/11.12  | | REDUCE: (28), (53) imply:
% 74.87/11.12  | |   (54)  $false
% 74.87/11.12  | | 
% 74.87/11.12  | | CLOSE: (54) is inconsistent.
% 74.87/11.12  | | 
% 74.87/11.12  | Case 2:
% 74.87/11.12  | | 
% 74.87/11.12  | |   (55)  all_10_1 = e1 | all_10_4 = e1 | all_10_9 = e1 | all_10_16 = e1
% 74.87/11.12  | | 
% 74.87/11.12  | | BETA: splitting (55) gives:
% 74.87/11.12  | | 
% 74.87/11.12  | | Case 1:
% 74.87/11.12  | | | 
% 74.87/11.12  | | |   (56)  all_10_1 = e1
% 74.87/11.12  | | | 
% 74.87/11.12  | | | COMBINE_EQS: (9), (56) imply:
% 74.87/11.12  | | |   (57)  all_4_5 = e1
% 74.87/11.12  | | | 
% 74.87/11.12  | | | REDUCE: (24), (57) imply:
% 74.87/11.12  | | |   (58)  $false
% 74.87/11.12  | | | 
% 74.87/11.12  | | | CLOSE: (58) is inconsistent.
% 74.87/11.12  | | | 
% 74.87/11.12  | | Case 2:
% 74.87/11.12  | | | 
% 74.87/11.12  | | |   (59)  all_10_4 = e1 | all_10_9 = e1 | all_10_16 = e1
% 74.87/11.12  | | | 
% 74.87/11.12  | | | BETA: splitting (59) gives:
% 74.87/11.12  | | | 
% 74.87/11.12  | | | Case 1:
% 74.87/11.12  | | | | 
% 74.87/11.12  | | | |   (60)  all_10_4 = e1
% 74.87/11.12  | | | | 
% 74.87/11.12  | | | | REF_CLOSE: (7), (51), (60) are inconsistent by sub-proof #85.
% 74.87/11.12  | | | | 
% 74.87/11.12  | | | Case 2:
% 74.87/11.12  | | | | 
% 74.87/11.12  | | | |   (61)  all_10_9 = e1 | all_10_16 = e1
% 74.87/11.12  | | | | 
% 74.87/11.12  | | | | BETA: splitting (61) gives:
% 74.87/11.12  | | | | 
% 74.87/11.12  | | | | Case 1:
% 74.87/11.12  | | | | | 
% 74.87/11.12  | | | | |   (62)  all_10_9 = e1
% 74.87/11.12  | | | | | 
% 74.87/11.12  | | | | | BETA: splitting (31) gives:
% 74.87/11.12  | | | | | 
% 74.87/11.12  | | | | | Case 1:
% 74.87/11.12  | | | | | | 
% 74.87/11.12  | | | | | |   (63)  all_10_0 = e3
% 74.87/11.12  | | | | | | 
% 74.87/11.12  | | | | | | REF_CLOSE: (6), (49), (63) are inconsistent by sub-proof #104.
% 74.87/11.12  | | | | | | 
% 74.87/11.12  | | | | | Case 2:
% 74.87/11.12  | | | | | | 
% 74.87/11.12  | | | | | |   (64)  all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 | all_10_16 =
% 74.87/11.12  | | | | | |         e3
% 74.87/11.12  | | | | | | 
% 74.87/11.12  | | | | | | BETA: splitting (64) gives:
% 74.87/11.12  | | | | | | 
% 74.87/11.12  | | | | | | Case 1:
% 74.87/11.12  | | | | | | | 
% 74.87/11.12  | | | | | | |   (65)  all_10_1 = e3
% 74.87/11.12  | | | | | | | 
% 74.87/11.12  | | | | | | | COMBINE_EQS: (9), (65) imply:
% 74.87/11.12  | | | | | | |   (66)  all_4_5 = e3
% 74.87/11.12  | | | | | | | 
% 74.87/11.12  | | | | | | | REDUCE: (21), (66) imply:
% 74.87/11.12  | | | | | | |   (67)  $false
% 74.87/11.12  | | | | | | | 
% 74.87/11.12  | | | | | | | CLOSE: (67) is inconsistent.
% 74.87/11.12  | | | | | | | 
% 74.87/11.12  | | | | | | Case 2:
% 74.87/11.12  | | | | | | | 
% 74.87/11.12  | | | | | | |   (68)  all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3
% 74.87/11.12  | | | | | | | 
% 74.87/11.12  | | | | | | | BETA: splitting (46) gives:
% 74.87/11.12  | | | | | | | 
% 74.87/11.12  | | | | | | | Case 1:
% 74.87/11.12  | | | | | | | | 
% 74.87/11.12  | | | | | | | |   (69)  all_10_4 = e4
% 74.87/11.12  | | | | | | | | 
% 74.87/11.12  | | | | | | | | COMBINE_EQS: (7), (69) imply:
% 74.87/11.12  | | | | | | | |   (70)  all_4_10 = e4
% 74.87/11.12  | | | | | | | | 
% 74.87/11.12  | | | | | | | | REDUCE: (5), (70) imply:
% 74.87/11.12  | | | | | | | |   (71)   ~ (e4 = e3)
% 74.87/11.12  | | | | | | | | 
% 74.87/11.12  | | | | | | | | REDUCE: (20), (70) imply:
% 74.87/11.12  | | | | | | | |   (72)   ~ (e4 = e0)
% 74.87/11.12  | | | | | | | | 
% 74.87/11.12  | | | | | | | | REDUCE: (41), (70) imply:
% 74.87/11.12  | | | | | | | |   (73)  op(e4, e4) = all_8_27
% 74.87/11.12  | | | | | | | | 
% 74.87/11.12  | | | | | | | | BETA: splitting (68) gives:
% 74.87/11.12  | | | | | | | | 
% 74.87/11.12  | | | | | | | | Case 1:
% 74.87/11.12  | | | | | | | | | 
% 74.87/11.12  | | | | | | | | |   (74)  all_10_4 = e3
% 74.87/11.12  | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | COMBINE_EQS: (69), (74) imply:
% 74.87/11.12  | | | | | | | | |   (75)  e4 = e3
% 74.87/11.12  | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | REDUCE: (71), (75) imply:
% 74.87/11.12  | | | | | | | | |   (76)  $false
% 74.87/11.12  | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | CLOSE: (76) is inconsistent.
% 74.87/11.12  | | | | | | | | | 
% 74.87/11.12  | | | | | | | | Case 2:
% 74.87/11.12  | | | | | | | | | 
% 74.87/11.12  | | | | | | | | |   (77)  all_10_9 = e3 | all_10_16 = e3
% 74.87/11.12  | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | BETA: splitting (50) gives:
% 74.87/11.12  | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | Case 1:
% 74.87/11.12  | | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | |   (78)  all_10_9 = e0
% 74.87/11.12  | | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | | COMBINE_EQS: (62), (78) imply:
% 74.87/11.12  | | | | | | | | | |   (79)  e1 = e0
% 74.87/11.12  | | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | | REDUCE: (39), (79) imply:
% 74.87/11.12  | | | | | | | | | |   (80)  $false
% 74.87/11.12  | | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | | CLOSE: (80) is inconsistent.
% 74.87/11.12  | | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | Case 2:
% 74.87/11.12  | | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | |   (81)  all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 |
% 74.87/11.12  | | | | | | | | | |         all_10_23 = e0
% 74.87/11.12  | | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | | BETA: splitting (81) gives:
% 74.87/11.12  | | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | | Case 1:
% 74.87/11.12  | | | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | | |   (82)  all_10_10 = e0
% 74.87/11.12  | | | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | | | COMBINE_EQS: (35), (82) imply:
% 74.87/11.12  | | | | | | | | | | |   (83)  all_4_16 = e0
% 74.87/11.12  | | | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | | | SIMP: (83) implies:
% 74.87/11.12  | | | | | | | | | | |   (84)  all_4_16 = e0
% 74.87/11.12  | | | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | | | REDUCE: (40), (84) imply:
% 74.87/11.12  | | | | | | | | | | |   (85)   ~ (all_4_1 = e0)
% 74.87/11.12  | | | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | | | REDUCE: (15), (84) imply:
% 74.87/11.12  | | | | | | | | | | |   (86)   ~ (all_4_21 = e0)
% 74.87/11.12  | | | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | | | SIMP: (86) implies:
% 74.87/11.12  | | | | | | | | | | |   (87)   ~ (all_4_21 = e0)
% 74.87/11.12  | | | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | | | REDUCE: (8), (84) imply:
% 74.87/11.12  | | | | | | | | | | |   (88)   ~ (e2 = e0)
% 74.87/11.12  | | | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | | | BETA: splitting (77) gives:
% 74.87/11.12  | | | | | | | | | | | 
% 74.87/11.12  | | | | | | | | | | | Case 1:
% 74.87/11.12  | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | |   (89)  all_10_9 = e3
% 74.87/11.13  | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | REF_CLOSE: (16), (62), (89) are inconsistent by sub-proof
% 74.87/11.13  | | | | | | | | | | | |            #84.
% 74.87/11.13  | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | Case 2:
% 74.87/11.13  | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | |   (90)  all_10_16 = e3
% 74.87/11.13  | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | COMBINE_EQS: (17), (90) imply:
% 74.87/11.13  | | | | | | | | | | | |   (91)  all_4_20 = e3
% 74.87/11.13  | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | REDUCE: (11), (91) imply:
% 74.87/11.13  | | | | | | | | | | | |   (92)   ~ (all_4_21 = e3)
% 74.87/11.13  | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | SIMP: (92) implies:
% 74.87/11.13  | | | | | | | | | | | |   (93)   ~ (all_4_21 = e3)
% 74.87/11.13  | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | BETA: splitting (33) gives:
% 74.87/11.13  | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | Case 1:
% 74.87/11.13  | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | |   (94)  all_10_2 = e3
% 74.87/11.13  | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | | COMBINE_EQS: (34), (94) imply:
% 74.87/11.13  | | | | | | | | | | | | |   (95)  all_4_1 = e3
% 74.87/11.13  | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | | SIMP: (95) implies:
% 74.87/11.13  | | | | | | | | | | | | |   (96)  all_4_1 = e3
% 74.87/11.13  | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | | REDUCE: (45), (96) imply:
% 74.87/11.13  | | | | | | | | | | | | |   (97)   ~ (all_4_4 = e3)
% 74.87/11.13  | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | | SIMP: (97) implies:
% 74.87/11.13  | | | | | | | | | | | | |   (98)   ~ (all_4_4 = e3)
% 74.87/11.13  | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | | BETA: splitting (38) gives:
% 74.87/11.13  | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | | Case 1:
% 74.87/11.13  | | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | | |   (99)  all_10_20 = e4
% 74.87/11.13  | | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | | | COMBINE_EQS: (26), (99) imply:
% 74.87/11.13  | | | | | | | | | | | | | |   (100)  all_4_4 = e4
% 74.87/11.13  | | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | | | REDUCE: (43), (100) imply:
% 74.87/11.13  | | | | | | | | | | | | | |   (101)  op(e4, e4) = e0
% 74.87/11.13  | | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with e2, all_8_27, e4, e4,
% 74.87/11.13  | | | | | | | | | | | | | |              simplifying with (23), (73) gives:
% 74.87/11.13  | | | | | | | | | | | | | |   (102)  all_8_27 = e2
% 74.87/11.13  | | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with e0, all_8_27, e4, e4,
% 74.87/11.13  | | | | | | | | | | | | | |              simplifying with (73), (101) gives:
% 74.87/11.13  | | | | | | | | | | | | | |   (103)  all_8_27 = e0
% 74.87/11.13  | | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | | | COMBINE_EQS: (102), (103) imply:
% 74.87/11.13  | | | | | | | | | | | | | |   (104)  e2 = e0
% 74.87/11.13  | | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | | | SIMP: (104) implies:
% 74.87/11.13  | | | | | | | | | | | | | |   (105)  e2 = e0
% 74.87/11.13  | | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | | | REDUCE: (12), (105) imply:
% 74.87/11.13  | | | | | | | | | | | | | |   (106)  $false
% 74.87/11.13  | | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | | | CLOSE: (106) is inconsistent.
% 74.87/11.13  | | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | | Case 2:
% 74.87/11.13  | | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | | |   (107)   ~ (all_10_20 = e4)
% 74.87/11.13  | | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | | | REF_CLOSE: (1), (14), (26), (32), (47), (98), (107) are
% 74.87/11.13  | | | | | | | | | | | | | |            inconsistent by sub-proof #72.
% 74.87/11.13  | | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | | End of split
% 74.87/11.13  | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | Case 2:
% 74.87/11.13  | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | |   (108)   ~ (all_10_2 = e3)
% 74.87/11.13  | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | | REF_CLOSE: (4), (13), (22), (25), (27), (29), (34), (37),
% 74.87/11.13  | | | | | | | | | | | | |            (85), (87), (93), (108) are inconsistent by
% 74.87/11.13  | | | | | | | | | | | | |            sub-proof #80.
% 74.87/11.13  | | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | | End of split
% 74.87/11.13  | | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | End of split
% 74.87/11.13  | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | Case 2:
% 74.87/11.13  | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | |   (109)  all_10_11 = e0 | all_10_15 = e0 | all_10_23 = e0
% 74.87/11.13  | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | | REF_CLOSE: (3), (10), (12), (19), (30), (72), (109) are
% 74.87/11.13  | | | | | | | | | | |            inconsistent by sub-proof #79.
% 74.87/11.13  | | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | End of split
% 74.87/11.13  | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | End of split
% 74.87/11.13  | | | | | | | | | 
% 74.87/11.13  | | | | | | | | End of split
% 74.87/11.13  | | | | | | | | 
% 74.87/11.13  | | | | | | | Case 2:
% 74.87/11.13  | | | | | | | | 
% 74.87/11.13  | | | | | | | |   (110)   ~ (all_10_4 = e4)
% 74.87/11.13  | | | | | | | | 
% 74.87/11.13  | | | | | | | | REDUCE: (7), (110) imply:
% 74.87/11.13  | | | | | | | |   (111)   ~ (all_4_10 = e4)
% 74.87/11.13  | | | | | | | | 
% 74.87/11.13  | | | | | | | | REF_CLOSE: (5), (20), (44), (48), (51), (111) are inconsistent
% 74.87/11.13  | | | | | | | |            by sub-proof #161.
% 74.87/11.13  | | | | | | | | 
% 74.87/11.13  | | | | | | | End of split
% 74.87/11.13  | | | | | | | 
% 74.87/11.13  | | | | | | End of split
% 74.87/11.13  | | | | | | 
% 74.87/11.13  | | | | | End of split
% 74.87/11.13  | | | | | 
% 74.87/11.13  | | | | Case 2:
% 74.87/11.13  | | | | | 
% 74.87/11.13  | | | | |   (112)  all_10_16 = e1
% 74.87/11.13  | | | | | 
% 74.87/11.13  | | | | | COMBINE_EQS: (17), (112) imply:
% 74.87/11.13  | | | | |   (113)  all_4_20 = e1
% 74.87/11.13  | | | | | 
% 74.87/11.13  | | | | | REDUCE: (2), (113) imply:
% 74.87/11.13  | | | | |   (114)  $false
% 74.87/11.13  | | | | | 
% 74.87/11.13  | | | | | CLOSE: (114) is inconsistent.
% 74.87/11.13  | | | | | 
% 74.87/11.13  | | | | End of split
% 74.87/11.13  | | | | 
% 74.87/11.13  | | | End of split
% 74.87/11.13  | | | 
% 74.87/11.13  | | End of split
% 74.87/11.13  | | 
% 74.87/11.13  | End of split
% 74.87/11.13  | 
% 74.87/11.13  End of proof
% 74.87/11.13  
% 74.87/11.13  Sub-proof #71 shows that the following formulas are inconsistent:
% 74.87/11.13  ----------------------------------------------------------------
% 74.87/11.13    (1)  all_10_8 = e3
% 74.87/11.13    (2)  op(e2, all_4_14) = e0
% 74.87/11.13    (3)  all_6_20 = all_4_4
% 74.87/11.13    (4)   ~ (all_4_20 = e1)
% 74.87/11.13    (5)  all_10_14 = e0
% 74.87/11.13    (6)   ~ (all_4_19 = e0)
% 74.87/11.13    (7)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 74.87/11.13    (8)   ~ (all_4_10 = e1)
% 74.87/11.13    (9)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.87/11.13    (10)   ~ (all_4_10 = e3)
% 74.87/11.13    (11)   ~ (e3 = e2)
% 74.87/11.13    (12)   ~ (all_4_16 = all_4_19)
% 74.87/11.13    (13)   ~ (all_4_14 = e3)
% 74.87/11.13    (14)  all_10_4 = all_4_10
% 74.87/11.13    (15)   ~ (all_4_16 = e2)
% 74.87/11.13    (16)  all_10_1 = all_4_5
% 74.87/11.13    (17)  all_10_15 = e4
% 74.87/11.13    (18)   ~ (all_4_20 = all_4_21)
% 74.87/11.13    (19)   ~ (e2 = e0)
% 74.87/11.13    (20)  all_6_9 = all_4_21
% 74.87/11.13    (21)  all_10_12 = all_4_3
% 74.87/11.13    (22)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 74.87/11.13    (23)  all_10_5 = e2
% 74.87/11.13    (24)   ~ (all_4_16 = all_4_21)
% 74.87/11.13    (25)   ~ (e3 = e1)
% 74.87/11.13    (26)  all_10_16 = all_4_20
% 74.87/11.13    (27)  op(e2, e1) = e2
% 74.87/11.13    (28)   ~ (all_4_14 = e0)
% 74.87/11.13    (29)  all_10_9 = e1 | all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 |
% 74.87/11.13          all_10_23 = e1
% 74.87/11.13    (30)  all_10_0 = e1 | all_10_1 = e1 | all_10_4 = e1 | all_10_9 = e1 |
% 74.87/11.13          all_10_16 = e1
% 74.87/11.13    (31)  all_10_23 = all_4_19
% 74.87/11.13    (32)   ~ (all_4_10 = e0)
% 74.87/11.13    (33)  op(e4, all_4_5) = all_8_14
% 74.87/11.13    (34)   ~ (all_4_5 = all_4_15)
% 74.87/11.13    (35)   ~ (all_4_5 = e3)
% 74.87/11.13    (36)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 74.87/11.13    (37)   ~ (all_4_5 = e1)
% 74.87/11.13    (38)   ~ (all_4_10 = all_4_15)
% 74.87/11.13    (39)   ~ (all_4_5 = all_4_20)
% 74.87/11.13    (40)  all_6_5 = all_4_1
% 74.87/11.13    (41)  all_10_1 = e0 | all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 |
% 74.87/11.13          all_10_21 = e0
% 74.87/11.13    (42)  all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 74.87/11.13          all_10_23 = e3
% 74.87/11.13    (43)  all_10_20 = all_4_4
% 74.87/11.13    (44)   ~ (all_4_1 = e1)
% 74.87/11.13    (45)   ~ (e2 = e1)
% 74.87/11.13    (46)   ~ (all_4_1 = all_4_21)
% 74.87/11.13    (47)  all_10_11 = e2
% 74.87/11.13    (48)  all_10_0 = e0 | all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 |
% 74.87/11.13          all_10_20 = e0
% 74.87/11.13    (49)  all_10_0 = e3 | all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 74.87/11.13          all_10_16 = e3
% 74.87/11.13    (50)   ~ (all_4_4 = e0)
% 74.87/11.13    (51)  all_10_2 = e3 | all_10_3 = e3 | all_10_5 = e3 | all_10_10 = e3 |
% 74.87/11.13          all_10_17 = e3
% 74.87/11.13    (52)  all_10_2 = all_4_1
% 74.87/11.13    (53)  all_10_22 = all_4_14
% 74.87/11.13    (54)   ~ (all_4_3 = e0)
% 74.87/11.13    (55)  all_10_10 = all_4_16
% 74.87/11.13    (56)   ~ (all_4_21 = e1)
% 74.87/11.13    (57)  all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 | all_10_22 = e1
% 74.87/11.13    (58)  all_10_9 = all_4_15
% 74.87/11.13    (59)  all_10_20 = e4 | all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 74.87/11.13          all_10_24 = e4
% 74.87/11.13    (60)   ~ (all_4_4 = all_4_14)
% 74.87/11.13    (61)   ~ (e1 = e0)
% 74.87/11.13    (62)   ~ (all_4_1 = all_4_16)
% 74.87/11.13    (63)  all_6_1 = all_4_5
% 74.87/11.13    (64)   ~ (all_4_5 = all_4_10)
% 74.87/11.13    (65)  all_10_6 = all_4_2
% 74.87/11.13    (66)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.87/11.13            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.87/11.13    (67)  all_6_2 = all_4_10
% 74.87/11.13    (68)   ~ (all_4_1 = all_4_4)
% 74.87/11.13    (69)  op(e4, e0) = all_4_20
% 74.87/11.13    (70)  all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 74.87/11.13          all_10_22 = e4
% 74.87/11.13    (71)  op(e4, all_4_2) = e2
% 74.87/11.13    (72)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.87/11.13    (73)  all_10_0 = e2
% 74.87/11.13    (74)  all_10_9 = e0 | all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 |
% 74.87/11.13          all_10_23 = e0
% 74.87/11.13    (75)   ~ (all_4_4 = all_4_19)
% 74.87/11.13    (76)   ~ (all_4_1 = e2)
% 74.87/11.13  
% 74.87/11.13  Begin of proof
% 74.87/11.13  | 
% 74.87/11.13  | BETA: splitting (57) gives:
% 74.87/11.13  | 
% 74.87/11.13  | Case 1:
% 74.87/11.13  | | 
% 74.87/11.13  | |   (77)  all_10_5 = e1
% 74.87/11.13  | | 
% 74.87/11.13  | | COMBINE_EQS: (23), (77) imply:
% 74.87/11.13  | |   (78)  e2 = e1
% 74.87/11.13  | | 
% 74.87/11.13  | | SIMP: (78) implies:
% 74.87/11.13  | |   (79)  e2 = e1
% 74.87/11.13  | | 
% 74.87/11.13  | | REDUCE: (45), (79) imply:
% 74.87/11.13  | |   (80)  $false
% 74.87/11.13  | | 
% 74.87/11.13  | | CLOSE: (80) is inconsistent.
% 74.87/11.13  | | 
% 74.87/11.13  | Case 2:
% 74.87/11.13  | | 
% 74.87/11.13  | |   (81)   ~ (all_10_5 = e1)
% 74.87/11.13  | |   (82)  all_10_8 = e1 | all_10_14 = e1 | all_10_22 = e1
% 74.87/11.13  | | 
% 74.87/11.13  | | BETA: splitting (30) gives:
% 74.87/11.13  | | 
% 74.87/11.13  | | Case 1:
% 74.87/11.13  | | | 
% 74.87/11.13  | | |   (83)  all_10_0 = e1
% 74.87/11.13  | | | 
% 74.87/11.13  | | | COMBINE_EQS: (73), (83) imply:
% 74.87/11.13  | | |   (84)  e2 = e1
% 74.87/11.13  | | | 
% 74.87/11.13  | | | REDUCE: (45), (84) imply:
% 74.87/11.13  | | |   (85)  $false
% 74.87/11.13  | | | 
% 74.87/11.13  | | | CLOSE: (85) is inconsistent.
% 74.87/11.13  | | | 
% 74.87/11.13  | | Case 2:
% 74.87/11.13  | | | 
% 74.87/11.13  | | |   (86)  all_10_1 = e1 | all_10_4 = e1 | all_10_9 = e1 | all_10_16 = e1
% 74.87/11.13  | | | 
% 74.87/11.13  | | | BETA: splitting (86) gives:
% 74.87/11.13  | | | 
% 74.87/11.13  | | | Case 1:
% 74.87/11.13  | | | | 
% 74.87/11.13  | | | |   (87)  all_10_1 = e1
% 74.87/11.13  | | | | 
% 74.87/11.13  | | | | COMBINE_EQS: (16), (87) imply:
% 74.87/11.13  | | | |   (88)  all_4_5 = e1
% 74.87/11.13  | | | | 
% 74.87/11.13  | | | | REDUCE: (37), (88) imply:
% 74.87/11.13  | | | |   (89)  $false
% 74.87/11.13  | | | | 
% 74.87/11.13  | | | | CLOSE: (89) is inconsistent.
% 74.87/11.13  | | | | 
% 74.87/11.13  | | | Case 2:
% 74.87/11.13  | | | | 
% 74.87/11.13  | | | |   (90)  all_10_4 = e1 | all_10_9 = e1 | all_10_16 = e1
% 74.87/11.13  | | | | 
% 74.87/11.13  | | | | BETA: splitting (90) gives:
% 74.87/11.13  | | | | 
% 74.87/11.13  | | | | Case 1:
% 74.87/11.13  | | | | | 
% 74.87/11.13  | | | | |   (91)  all_10_4 = e1
% 74.87/11.13  | | | | | 
% 74.87/11.13  | | | | | REF_CLOSE: (8), (14), (91) are inconsistent by sub-proof #85.
% 74.87/11.13  | | | | | 
% 74.87/11.13  | | | | Case 2:
% 74.87/11.13  | | | | | 
% 74.87/11.13  | | | | |   (92)  all_10_9 = e1 | all_10_16 = e1
% 74.87/11.13  | | | | | 
% 74.87/11.13  | | | | | BETA: splitting (82) gives:
% 74.87/11.13  | | | | | 
% 74.87/11.13  | | | | | Case 1:
% 74.87/11.13  | | | | | | 
% 74.87/11.13  | | | | | |   (93)  all_10_8 = e1
% 74.87/11.13  | | | | | | 
% 74.87/11.13  | | | | | | COMBINE_EQS: (1), (93) imply:
% 74.87/11.13  | | | | | |   (94)  e3 = e1
% 74.87/11.13  | | | | | | 
% 74.87/11.13  | | | | | | REDUCE: (25), (94) imply:
% 74.87/11.13  | | | | | |   (95)  $false
% 74.87/11.13  | | | | | | 
% 74.87/11.13  | | | | | | CLOSE: (95) is inconsistent.
% 74.87/11.13  | | | | | | 
% 74.87/11.13  | | | | | Case 2:
% 74.87/11.13  | | | | | | 
% 74.87/11.13  | | | | | |   (96)  all_10_14 = e1 | all_10_22 = e1
% 74.87/11.13  | | | | | | 
% 74.87/11.13  | | | | | | BETA: splitting (96) gives:
% 74.87/11.13  | | | | | | 
% 74.87/11.13  | | | | | | Case 1:
% 74.87/11.13  | | | | | | | 
% 74.87/11.13  | | | | | | |   (97)  all_10_14 = e1
% 74.87/11.13  | | | | | | | 
% 74.87/11.13  | | | | | | | COMBINE_EQS: (5), (97) imply:
% 74.87/11.13  | | | | | | |   (98)  e1 = e0
% 74.87/11.13  | | | | | | | 
% 74.87/11.13  | | | | | | | REDUCE: (61), (98) imply:
% 74.87/11.13  | | | | | | |   (99)  $false
% 74.87/11.13  | | | | | | | 
% 74.87/11.13  | | | | | | | CLOSE: (99) is inconsistent.
% 74.87/11.13  | | | | | | | 
% 74.87/11.13  | | | | | | Case 2:
% 74.87/11.13  | | | | | | | 
% 74.87/11.13  | | | | | | |   (100)  all_10_22 = e1
% 74.87/11.13  | | | | | | | 
% 74.87/11.13  | | | | | | | COMBINE_EQS: (53), (100) imply:
% 74.87/11.13  | | | | | | |   (101)  all_4_14 = e1
% 74.87/11.13  | | | | | | | 
% 74.87/11.13  | | | | | | | SIMP: (101) implies:
% 74.87/11.13  | | | | | | |   (102)  all_4_14 = e1
% 74.87/11.13  | | | | | | | 
% 74.87/11.13  | | | | | | | REDUCE: (60), (102) imply:
% 74.87/11.13  | | | | | | |   (103)   ~ (all_4_4 = e1)
% 74.87/11.13  | | | | | | | 
% 74.87/11.13  | | | | | | | REDUCE: (13), (102) imply:
% 74.87/11.13  | | | | | | |   (104)   ~ (e3 = e1)
% 74.87/11.13  | | | | | | | 
% 74.87/11.13  | | | | | | | REDUCE: (2), (102) imply:
% 74.87/11.13  | | | | | | |   (105)  op(e2, e1) = e0
% 74.87/11.13  | | | | | | | 
% 74.87/11.13  | | | | | | | BETA: splitting (29) gives:
% 74.87/11.13  | | | | | | | 
% 74.87/11.13  | | | | | | | Case 1:
% 74.87/11.13  | | | | | | | | 
% 74.87/11.13  | | | | | | | |   (106)  all_10_9 = e1
% 74.87/11.13  | | | | | | | | 
% 74.87/11.13  | | | | | | | | COMBINE_EQS: (58), (106) imply:
% 74.87/11.13  | | | | | | | |   (107)  all_4_15 = e1
% 74.87/11.13  | | | | | | | | 
% 74.87/11.13  | | | | | | | | SIMP: (107) implies:
% 74.87/11.13  | | | | | | | |   (108)  all_4_15 = e1
% 74.87/11.13  | | | | | | | | 
% 74.87/11.13  | | | | | | | | BETA: splitting (49) gives:
% 74.87/11.13  | | | | | | | | 
% 74.87/11.13  | | | | | | | | Case 1:
% 74.87/11.13  | | | | | | | | | 
% 74.87/11.13  | | | | | | | | |   (109)  all_10_0 = e3
% 74.87/11.13  | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | REF_CLOSE: (11), (73), (109) are inconsistent by sub-proof
% 74.87/11.13  | | | | | | | | |            #104.
% 74.87/11.13  | | | | | | | | | 
% 74.87/11.13  | | | | | | | | Case 2:
% 74.87/11.13  | | | | | | | | | 
% 74.87/11.13  | | | | | | | | |   (110)  all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 74.87/11.13  | | | | | | | | |          all_10_16 = e3
% 74.87/11.13  | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | BETA: splitting (110) gives:
% 74.87/11.13  | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | Case 1:
% 74.87/11.13  | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | |   (111)  all_10_1 = e3
% 74.87/11.13  | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | COMBINE_EQS: (16), (111) imply:
% 74.87/11.13  | | | | | | | | | |   (112)  all_4_5 = e3
% 74.87/11.13  | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | REDUCE: (35), (112) imply:
% 74.87/11.13  | | | | | | | | | |   (113)  $false
% 74.87/11.13  | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | CLOSE: (113) is inconsistent.
% 74.87/11.13  | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | Case 2:
% 74.87/11.13  | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | |   (114)  all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3
% 74.87/11.13  | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | BETA: splitting (70) gives:
% 74.87/11.13  | | | | | | | | | | 
% 74.87/11.13  | | | | | | | | | | Case 1:
% 74.87/11.13  | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | |   (115)  all_10_4 = e4
% 74.87/11.14  | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | COMBINE_EQS: (14), (115) imply:
% 74.87/11.14  | | | | | | | | | | |   (116)  all_4_10 = e4
% 74.87/11.14  | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | REDUCE: (64), (116) imply:
% 74.87/11.14  | | | | | | | | | | |   (117)   ~ (all_4_5 = e4)
% 74.87/11.14  | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | REDUCE: (10), (116) imply:
% 74.87/11.14  | | | | | | | | | | |   (118)   ~ (e4 = e3)
% 74.87/11.14  | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | REDUCE: (32), (116) imply:
% 74.87/11.14  | | | | | | | | | | |   (119)   ~ (e4 = e0)
% 74.87/11.14  | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | BETA: splitting (114) gives:
% 74.87/11.14  | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | Case 1:
% 74.87/11.14  | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | |   (120)  all_10_4 = e3
% 74.87/11.14  | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | COMBINE_EQS: (115), (120) imply:
% 74.87/11.14  | | | | | | | | | | | |   (121)  e4 = e3
% 74.87/11.14  | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | REDUCE: (118), (121) imply:
% 74.87/11.14  | | | | | | | | | | | |   (122)  $false
% 74.87/11.14  | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | CLOSE: (122) is inconsistent.
% 74.87/11.14  | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | Case 2:
% 74.87/11.14  | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | |   (123)  all_10_9 = e3 | all_10_16 = e3
% 74.87/11.14  | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | BETA: splitting (74) gives:
% 74.87/11.14  | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | Case 1:
% 74.87/11.14  | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | |   (124)  all_10_9 = e0
% 74.87/11.14  | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | COMBINE_EQS: (106), (124) imply:
% 74.87/11.14  | | | | | | | | | | | | |   (125)  e1 = e0
% 74.87/11.14  | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | REDUCE: (61), (125) imply:
% 74.87/11.14  | | | | | | | | | | | | |   (126)  $false
% 74.87/11.14  | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | CLOSE: (126) is inconsistent.
% 74.87/11.14  | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | Case 2:
% 74.87/11.14  | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | |   (127)  all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 |
% 74.87/11.14  | | | | | | | | | | | | |          all_10_23 = e0
% 74.87/11.14  | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | BETA: splitting (127) gives:
% 74.87/11.14  | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | Case 1:
% 74.87/11.14  | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | |   (128)  all_10_10 = e0
% 74.87/11.14  | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | COMBINE_EQS: (55), (128) imply:
% 74.87/11.14  | | | | | | | | | | | | | |   (129)  all_4_16 = e0
% 74.87/11.14  | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | SIMP: (129) implies:
% 74.87/11.14  | | | | | | | | | | | | | |   (130)  all_4_16 = e0
% 74.87/11.14  | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | REDUCE: (62), (130) imply:
% 74.87/11.14  | | | | | | | | | | | | | |   (131)   ~ (all_4_1 = e0)
% 74.87/11.14  | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | REDUCE: (12), (130) imply:
% 74.87/11.14  | | | | | | | | | | | | | |   (132)   ~ (all_4_19 = e0)
% 74.87/11.14  | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | REDUCE: (24), (130) imply:
% 74.87/11.14  | | | | | | | | | | | | | |   (133)   ~ (all_4_21 = e0)
% 74.87/11.14  | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | SIMP: (133) implies:
% 74.87/11.14  | | | | | | | | | | | | | |   (134)   ~ (all_4_21 = e0)
% 74.87/11.14  | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | REDUCE: (15), (130) imply:
% 74.87/11.14  | | | | | | | | | | | | | |   (135)   ~ (e2 = e0)
% 74.87/11.14  | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 74.87/11.14  | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | Case 1:
% 74.87/11.14  | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | |   (136)  all_10_9 = e3
% 74.87/11.14  | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | REF_CLOSE: (25), (106), (136) are inconsistent by sub-proof
% 74.87/11.14  | | | | | | | | | | | | | | |            #84.
% 74.87/11.14  | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | Case 2:
% 74.87/11.14  | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | |   (137)   ~ (all_10_9 = e3)
% 74.87/11.14  | | | | | | | | | | | | | | |   (138)  all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 74.87/11.14  | | | | | | | | | | | | | | |          all_10_23 = e3
% 74.87/11.14  | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | BETA: splitting (48) gives:
% 74.87/11.14  | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | Case 1:
% 74.87/11.14  | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | |   (139)  all_10_0 = e0
% 74.87/11.14  | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | COMBINE_EQS: (73), (139) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | |   (140)  e2 = e0
% 74.87/11.14  | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | REDUCE: (19), (140) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | |   (141)  $false
% 74.87/11.14  | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | CLOSE: (141) is inconsistent.
% 74.87/11.14  | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | Case 2:
% 74.87/11.14  | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | |   (142)  all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 |
% 74.87/11.14  | | | | | | | | | | | | | | | |          all_10_20 = e0
% 74.87/11.14  | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | BETA: splitting (142) gives:
% 74.87/11.14  | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | Case 1:
% 74.87/11.14  | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | |   (143)  all_10_2 = e0
% 74.87/11.14  | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (131), (143) are inconsistent by sub-proof
% 74.87/11.14  | | | | | | | | | | | | | | | | |            #119.
% 74.87/11.14  | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | Case 2:
% 74.87/11.14  | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | |   (144)   ~ (all_10_2 = e0)
% 74.87/11.14  | | | | | | | | | | | | | | | | |   (145)  all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0
% 74.87/11.14  | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | BETA: splitting (9) gives:
% 74.87/11.14  | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | Case 1:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | |   (146)  all_6_1 = e4
% 74.87/11.14  | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (117), (146) are inconsistent by sub-proof
% 74.87/11.14  | | | | | | | | | | | | | | | | | |            #138.
% 74.87/11.14  | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | Case 2:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | |   (147)  all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.87/11.14  | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | Case 1:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | |   (148)  all_10_9 = e3
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (106), (148) are inconsistent by sub-proof
% 74.87/11.14  | | | | | | | | | | | | | | | | | | |            #84.
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | Case 2:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | |   (149)  all_10_16 = e3
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (26), (149) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | |   (150)  all_4_20 = e3
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | REDUCE: (18), (150) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | |   (151)   ~ (all_4_21 = e3)
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | SIMP: (151) implies:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | |   (152)   ~ (all_4_21 = e3)
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | REDUCE: (69), (150) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | |   (153)  op(e4, e0) = e3
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | BETA: splitting (51) gives:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | Case 1:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | |   (154)  all_10_2 = e3
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (52), (154) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | |   (155)  all_4_1 = e3
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | SIMP: (155) implies:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | |   (156)  all_4_1 = e3
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (156) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | |   (157)   ~ (all_4_4 = e3)
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | SIMP: (157) implies:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | |   (158)   ~ (all_4_4 = e3)
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (156) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | |   (159)   ~ (e3 = e0)
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | |   (160)  all_10_10 = e3
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (159), (160) are inconsistent by sub-proof
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | |            #83.
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | |   (161)  all_10_11 = e3 | all_10_15 = e3 | all_10_23 = e3
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (59) gives:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | |   (162)  all_10_20 = e4
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (43), (162) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | |   (163)  all_4_4 = e4
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (163) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | |   (164)   ~ (all_4_19 = e4)
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | SIMP: (164) implies:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | |   (165)   ~ (all_4_19 = e4)
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | |   (166)  all_10_11 = e3
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (47), (166) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | |   (167)  e3 = e2
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (167) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | |   (168)  $false
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (168) is inconsistent.
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | |   (169)  all_10_15 = e3 | all_10_23 = e3
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | |   (170)  all_10_6 = e0
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (65), (170) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | |   (171)  all_4_2 = e0
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (171) implies:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | |   (172)  all_4_2 = e0
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (172) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | |   (173)  op(e4, e0) = e2
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (174)  all_6_1 = e1
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (63), (174) are inconsistent by sub-proof
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | |            #137.
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (175)  all_6_1 = e3 | all_6_1 = e0
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (176)  all_10_1 = e0
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (176) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (177)  all_4_5 = e0
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (177) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (178)  op(e4, e0) = all_8_14
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (179)  all_10_15 = e3
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17), (179) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (180)  e4 = e3
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (180) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (181)  $false
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (181) is inconsistent.
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (182)  all_10_23 = e3
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (31), (182) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (183)  all_4_19 = e3
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (183) implies:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (184)  all_4_19 = e3
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (184) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (185)   ~ (e4 = e3)
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (66) with e2, e0, e1, e2,
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (27), (105) gives:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (186)  e2 = e0
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (66) with e3, all_8_14, e0, e4,
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (153), (178) gives:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (187)  all_8_14 = e3
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (66) with e2, all_8_14, e0, e4,
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (173), (178) gives:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (188)  all_8_14 = e2
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (187), (188) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (189)  e3 = e2
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (189) implies:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (190)  e3 = e2
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (186), (190) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (191)  e3 = e0
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (118), (159), (169), (182), (191) are
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #82.
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (192)   ~ (all_10_1 = e0)
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (192) imply:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (193)   ~ (all_4_5 = e0)
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (63), (175), (193) are inconsistent by
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #136.
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | |   (194)  all_10_12 = e0 | all_10_20 = e0
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (54), (119), (162), (194) are inconsistent
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #75.
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | |   (195)   ~ (all_10_20 = e4)
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (22), (43), (50), (103), (158), (195) are
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #72.
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | End of split
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | End of split
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | Case 2:
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | |   (196)   ~ (all_10_2 = e3)
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (20), (36), (40), (44), (46), (52), (56),
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | |            (131), (134), (152), (196) are inconsistent by
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | |            sub-proof #80.
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | End of split
% 74.87/11.14  | | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | | End of split
% 74.87/11.14  | | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | | End of split
% 74.87/11.14  | | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | | End of split
% 74.87/11.14  | | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | | End of split
% 74.87/11.14  | | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | End of split
% 74.87/11.14  | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | Case 2:
% 74.87/11.14  | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | |   (197)  all_10_11 = e0 | all_10_15 = e0 | all_10_23 = e0
% 74.87/11.14  | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | | REF_CLOSE: (6), (17), (19), (31), (47), (119), (197) are
% 74.87/11.14  | | | | | | | | | | | | | |            inconsistent by sub-proof #79.
% 74.87/11.14  | | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | | End of split
% 74.87/11.14  | | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | | End of split
% 74.87/11.14  | | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | End of split
% 74.87/11.14  | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | Case 2:
% 74.87/11.14  | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | |   (198)   ~ (all_10_4 = e4)
% 74.87/11.14  | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | REDUCE: (14), (198) imply:
% 74.87/11.14  | | | | | | | | | | |   (199)   ~ (all_4_10 = e4)
% 74.87/11.14  | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | | REF_CLOSE: (8), (10), (32), (67), (72), (199) are
% 74.87/11.14  | | | | | | | | | | |            inconsistent by sub-proof #161.
% 74.87/11.14  | | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | | End of split
% 74.87/11.14  | | | | | | | | | | 
% 74.87/11.14  | | | | | | | | | End of split
% 74.87/11.14  | | | | | | | | | 
% 74.87/11.14  | | | | | | | | End of split
% 74.87/11.14  | | | | | | | | 
% 74.87/11.14  | | | | | | | Case 2:
% 74.87/11.14  | | | | | | | | 
% 74.87/11.14  | | | | | | | |   (200)   ~ (all_10_9 = e1)
% 74.87/11.14  | | | | | | | | 
% 74.87/11.14  | | | | | | | | REF_CLOSE: (4), (26), (58), (92), (200) are inconsistent by
% 74.87/11.14  | | | | | | | |            sub-proof #78.
% 74.87/11.14  | | | | | | | | 
% 74.87/11.14  | | | | | | | End of split
% 74.87/11.14  | | | | | | | 
% 74.87/11.14  | | | | | | End of split
% 74.87/11.14  | | | | | | 
% 74.87/11.14  | | | | | End of split
% 74.87/11.14  | | | | | 
% 74.87/11.14  | | | | End of split
% 74.87/11.14  | | | | 
% 74.87/11.14  | | | End of split
% 74.87/11.14  | | | 
% 74.87/11.14  | | End of split
% 74.87/11.14  | | 
% 74.87/11.14  | End of split
% 74.87/11.14  | 
% 74.87/11.14  End of proof
% 74.87/11.14  
% 74.87/11.14  Sub-proof #72 shows that the following formulas are inconsistent:
% 74.87/11.14  ----------------------------------------------------------------
% 74.87/11.14    (1)  all_6_20 = all_4_4
% 74.87/11.14    (2)   ~ (all_10_20 = e4)
% 74.87/11.14    (3)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 74.87/11.14    (4)   ~ (all_4_4 = e3)
% 74.87/11.14    (5)  all_10_20 = all_4_4
% 74.87/11.14    (6)   ~ (all_4_4 = e0)
% 74.87/11.14    (7)   ~ (all_4_4 = e1)
% 74.87/11.14  
% 74.87/11.14  Begin of proof
% 74.87/11.14  | 
% 74.87/11.14  | REDUCE: (2), (5) imply:
% 74.87/11.14  |   (8)   ~ (all_4_4 = e4)
% 74.87/11.14  | 
% 74.87/11.14  | BETA: splitting (3) gives:
% 74.87/11.14  | 
% 74.87/11.14  | Case 1:
% 74.87/11.14  | | 
% 74.87/11.14  | |   (9)  all_6_20 = e4
% 74.87/11.14  | | 
% 74.87/11.14  | | REF_CLOSE: (1), (8), (9) are inconsistent by sub-proof #74.
% 74.87/11.14  | | 
% 74.87/11.14  | Case 2:
% 74.87/11.14  | | 
% 74.87/11.14  | |   (10)  all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 74.87/11.14  | | 
% 74.87/11.14  | | BETA: splitting (10) gives:
% 74.87/11.14  | | 
% 74.87/11.14  | | Case 1:
% 74.87/11.14  | | | 
% 74.87/11.14  | | |   (11)  all_6_20 = e1
% 74.87/11.14  | | | 
% 74.87/11.14  | | | REF_CLOSE: (1), (7), (11) are inconsistent by sub-proof #73.
% 74.87/11.14  | | | 
% 74.87/11.14  | | Case 2:
% 74.87/11.14  | | | 
% 74.87/11.14  | | |   (12)  all_6_20 = e3 | all_6_20 = e0
% 74.87/11.14  | | | 
% 74.87/11.14  | | | REF_CLOSE: (1), (4), (6), (12) are inconsistent by sub-proof #122.
% 74.87/11.14  | | | 
% 74.87/11.14  | | End of split
% 74.87/11.14  | | 
% 74.87/11.14  | End of split
% 74.87/11.14  | 
% 74.87/11.14  End of proof
% 74.87/11.14  
% 74.87/11.14  Sub-proof #73 shows that the following formulas are inconsistent:
% 74.87/11.14  ----------------------------------------------------------------
% 74.87/11.14    (1)  all_6_20 = all_4_4
% 74.87/11.14    (2)  all_6_20 = e1
% 74.87/11.14    (3)   ~ (all_4_4 = e1)
% 74.87/11.14  
% 74.87/11.14  Begin of proof
% 74.87/11.14  | 
% 74.87/11.14  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.14  |   (4)  all_4_4 = e1
% 74.87/11.14  | 
% 74.87/11.14  | SIMP: (4) implies:
% 74.87/11.14  |   (5)  all_4_4 = e1
% 74.87/11.14  | 
% 74.87/11.14  | REDUCE: (3), (5) imply:
% 74.87/11.14  |   (6)  $false
% 74.87/11.14  | 
% 74.87/11.14  | CLOSE: (6) is inconsistent.
% 74.87/11.14  | 
% 74.87/11.14  End of proof
% 74.87/11.14  
% 74.87/11.14  Sub-proof #74 shows that the following formulas are inconsistent:
% 74.87/11.14  ----------------------------------------------------------------
% 74.87/11.14    (1)  all_6_20 = all_4_4
% 74.87/11.14    (2)  all_6_20 = e4
% 74.87/11.14    (3)   ~ (all_4_4 = e4)
% 74.87/11.14  
% 74.87/11.14  Begin of proof
% 74.87/11.14  | 
% 74.87/11.14  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.14  |   (4)  all_4_4 = e4
% 74.87/11.14  | 
% 74.87/11.14  | SIMP: (4) implies:
% 74.87/11.14  |   (5)  all_4_4 = e4
% 74.87/11.14  | 
% 74.87/11.14  | REDUCE: (3), (5) imply:
% 74.87/11.14  |   (6)  $false
% 74.87/11.14  | 
% 74.87/11.14  | CLOSE: (6) is inconsistent.
% 74.87/11.14  | 
% 74.87/11.14  End of proof
% 74.87/11.14  
% 74.87/11.14  Sub-proof #75 shows that the following formulas are inconsistent:
% 74.87/11.14  ----------------------------------------------------------------
% 74.87/11.14    (1)  all_10_20 = e4
% 74.87/11.14    (2)  all_10_12 = all_4_3
% 74.87/11.14    (3)   ~ (e4 = e0)
% 74.87/11.14    (4)  all_10_12 = e0 | all_10_20 = e0
% 74.87/11.14    (5)   ~ (all_4_3 = e0)
% 74.87/11.14  
% 74.87/11.14  Begin of proof
% 74.87/11.14  | 
% 74.87/11.14  | BETA: splitting (4) gives:
% 74.87/11.14  | 
% 74.87/11.14  | Case 1:
% 74.87/11.14  | | 
% 74.87/11.14  | |   (6)  all_10_12 = e0
% 74.87/11.14  | | 
% 74.87/11.14  | | COMBINE_EQS: (2), (6) imply:
% 74.87/11.14  | |   (7)  all_4_3 = e0
% 74.87/11.14  | | 
% 74.87/11.14  | | SIMP: (7) implies:
% 74.87/11.14  | |   (8)  all_4_3 = e0
% 74.87/11.14  | | 
% 74.87/11.14  | | REDUCE: (5), (8) imply:
% 74.87/11.14  | |   (9)  $false
% 74.87/11.14  | | 
% 74.87/11.14  | | CLOSE: (9) is inconsistent.
% 74.87/11.14  | | 
% 74.87/11.14  | Case 2:
% 74.87/11.14  | | 
% 74.87/11.14  | |   (10)  all_10_20 = e0
% 74.87/11.14  | | 
% 74.87/11.14  | | REF_CLOSE: (1), (3), (10) are inconsistent by sub-proof #76.
% 74.87/11.14  | | 
% 74.87/11.14  | End of split
% 74.87/11.14  | 
% 74.87/11.14  End of proof
% 74.87/11.14  
% 74.87/11.14  Sub-proof #76 shows that the following formulas are inconsistent:
% 74.87/11.14  ----------------------------------------------------------------
% 74.87/11.14    (1)  all_10_20 = e4
% 74.87/11.14    (2)  all_10_20 = e0
% 74.87/11.14    (3)   ~ (e4 = e0)
% 74.87/11.14  
% 74.87/11.14  Begin of proof
% 74.87/11.14  | 
% 74.87/11.14  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.14  |   (4)  e4 = e0
% 74.87/11.14  | 
% 74.87/11.14  | SIMP: (4) implies:
% 74.87/11.14  |   (5)  e4 = e0
% 74.87/11.14  | 
% 74.87/11.14  | REDUCE: (3), (5) imply:
% 74.87/11.14  |   (6)  $false
% 74.87/11.14  | 
% 74.87/11.14  | CLOSE: (6) is inconsistent.
% 74.87/11.14  | 
% 74.87/11.14  End of proof
% 74.87/11.14  
% 74.87/11.14  Sub-proof #77 shows that the following formulas are inconsistent:
% 74.87/11.14  ----------------------------------------------------------------
% 74.87/11.14    (1)   ~ (all_4_19 = e4)
% 74.87/11.14    (2)  op(e2, all_4_14) = e0
% 74.87/11.14    (3)   ~ (all_4_1 = all_4_2)
% 74.87/11.14    (4)  all_6_20 = all_4_4
% 74.87/11.14    (5)   ~ (all_4_20 = e1)
% 74.87/11.14    (6)   ~ (all_4_15 = all_4_20)
% 74.87/11.14    (7)   ~ (all_4_19 = e0)
% 74.87/11.14    (8)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.87/11.14    (9)   ~ (all_4_10 = e3)
% 74.87/11.15    (10)   ~ (e3 = e2)
% 74.87/11.15    (11)   ~ (all_4_7 = e3)
% 74.87/11.15    (12)   ~ (all_4_16 = all_4_19)
% 74.87/11.15    (13)  op(e0, e4) = all_4_4
% 74.87/11.15    (14)   ~ (all_4_14 = e3)
% 74.87/11.15    (15)  all_10_4 = all_4_10
% 74.87/11.15    (16)  all_10_1 = all_4_5
% 74.87/11.15    (17)  all_10_15 = e4
% 74.87/11.15    (18)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0
% 74.87/11.15    (19)   ~ (all_4_20 = all_4_21)
% 74.87/11.15    (20)   ~ (e2 = e0)
% 74.87/11.15    (21)  all_6_9 = all_4_21
% 74.87/11.15    (22)  all_10_16 = e4 | all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 |
% 74.87/11.15          all_10_24 = e4
% 74.87/11.15    (23)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 74.87/11.15    (24)   ~ (all_4_16 = all_4_21)
% 74.87/11.15    (25)   ~ (e3 = e1)
% 74.87/11.15    (26)   ~ (all_4_10 = all_4_14)
% 74.87/11.15    (27)  all_8_1 = e3 &  ~ (all_8_2 = e4)
% 74.87/11.15    (28)  all_10_16 = all_4_20
% 74.87/11.15    (29)   ~ (all_4_14 = e0)
% 74.87/11.15    (30)  all_10_9 = e1 | all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 |
% 74.87/11.15          all_10_23 = e1
% 74.87/11.15    (31)  all_10_0 = e1 | all_10_1 = e1 | all_10_4 = e1 | all_10_9 = e1 |
% 74.87/11.15          all_10_16 = e1
% 74.87/11.15    (32)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 74.87/11.15    (33)  all_10_23 = all_4_19
% 74.87/11.15    (34)   ~ (all_4_10 = e0)
% 74.87/11.15    (35)  op(e2, e4) = all_4_2
% 74.87/11.15    (36)   ~ (all_8_37 = e2)
% 74.87/11.15    (37)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 = e0
% 74.87/11.15    (38)   ~ (all_4_5 = all_4_15)
% 74.87/11.15    (39)   ~ (all_4_5 = e3)
% 74.87/11.15    (40)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 74.87/11.15    (41)  op(e4, e4) = e2
% 74.87/11.15    (42)   ~ (all_4_5 = e1)
% 74.87/11.15    (43)   ~ (all_4_10 = all_4_15)
% 74.87/11.15    (44)   ~ (all_4_5 = all_4_20)
% 74.87/11.15    (45)  all_6_5 = all_4_1
% 74.87/11.15    (46)  all_10_1 = e0 | all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 |
% 74.87/11.15          all_10_21 = e0
% 74.87/11.15    (47)  all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 74.87/11.15          all_10_23 = e3
% 74.87/11.15    (48)  op(e4, all_4_1) = all_8_1
% 74.87/11.15    (49)  all_10_20 = all_4_4
% 74.87/11.15    (50)   ~ (all_4_1 = e1)
% 74.87/11.15    (51)   ~ (e2 = e1)
% 74.87/11.15    (52)   ~ (all_4_2 = all_4_7)
% 74.87/11.15    (53)   ~ (all_4_1 = all_4_21)
% 74.87/11.15    (54)  all_10_11 = e2
% 74.87/11.15    (55)  all_10_0 = e3 | all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 74.87/11.15          all_10_16 = e3
% 74.87/11.15    (56)   ~ (all_4_4 = e0)
% 74.87/11.15    (57)  all_10_2 = e3 | all_10_3 = e3 | all_10_5 = e3 | all_10_10 = e3 |
% 74.87/11.15          all_10_17 = e3
% 74.87/11.15    (58)  all_10_2 = all_4_1
% 74.87/11.15    (59)  all_10_10 = all_4_16
% 74.87/11.15    (60)  all_6_3 = all_4_15
% 74.87/11.15    (61)   ~ (all_4_21 = e1)
% 74.87/11.15    (62)  op(e4, all_4_20) = all_8_53
% 74.87/11.15    (63)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 74.87/11.15    (64)   ~ (all_4_15 = e2)
% 74.87/11.15    (65)  all_10_9 = all_4_15
% 74.87/11.15    (66)   ~ (all_4_4 = all_4_14)
% 74.87/11.15    (67)  all_6_4 = all_4_20
% 74.87/11.15    (68)   ~ (e1 = e0)
% 74.87/11.15    (69)   ~ (all_4_1 = all_4_16)
% 74.87/11.15    (70)  op(e0, all_4_14) = all_8_37
% 74.87/11.15    (71)  all_6_1 = all_4_5
% 74.87/11.15    (72)   ~ (all_4_5 = all_4_10)
% 74.87/11.15    (73)   ~ (all_4_5 = all_4_7)
% 74.87/11.15    (74)  all_10_20 = e3 | all_10_21 = e3 | all_10_22 = e3 | all_10_23 = e3 |
% 74.87/11.15          all_10_24 = e3
% 74.87/11.15    (75)  all_6_11 = all_4_7
% 74.87/11.15    (76)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.87/11.15            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.87/11.15    (77)  all_6_2 = all_4_10
% 74.87/11.15    (78)   ~ (all_4_1 = all_4_4)
% 74.87/11.15    (79)  all_6_22 = all_4_14
% 74.87/11.15    (80)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1 | all_6_5 = e0
% 74.87/11.15    (81)  all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 74.87/11.15          all_10_22 = e4
% 74.87/11.15    (82)   ~ (all_4_10 = all_4_20)
% 74.87/11.15    (83)   ~ (all_4_4 = e1)
% 74.87/11.15    (84)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.87/11.15    (85)  all_10_0 = e2
% 74.87/11.15    (86)  all_10_9 = e0 | all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 |
% 74.87/11.15          all_10_23 = e0
% 74.87/11.15    (87)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 74.87/11.15          all_10_22 = e1
% 74.87/11.15    (88)   ~ (all_4_7 = e1)
% 74.87/11.15    (89)   ~ (all_4_1 = e2)
% 74.87/11.15    (90)   ~ (all_4_15 = e4)
% 74.87/11.15    (91)  op(e4, e3) = all_4_5
% 74.87/11.15  
% 74.87/11.15  Begin of proof
% 74.87/11.15  | 
% 74.87/11.15  | ALPHA: (27) implies:
% 74.87/11.15  |   (92)  all_8_1 = e3
% 74.87/11.15  | 
% 74.87/11.15  | REDUCE: (48), (92) imply:
% 74.87/11.15  |   (93)  op(e4, all_4_1) = e3
% 74.87/11.15  | 
% 74.87/11.15  | BETA: splitting (80) gives:
% 74.87/11.15  | 
% 74.87/11.15  | Case 1:
% 74.87/11.15  | | 
% 74.87/11.15  | |   (94)  all_6_5 = e2
% 74.87/11.15  | | 
% 74.87/11.15  | | REF_CLOSE: (45), (89), (94) are inconsistent by sub-proof #153.
% 74.87/11.15  | | 
% 74.87/11.15  | Case 2:
% 74.87/11.15  | | 
% 74.87/11.15  | |   (95)   ~ (all_6_5 = e2)
% 74.87/11.15  | |   (96)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 74.87/11.15  | | 
% 74.87/11.15  | | BETA: splitting (37) gives:
% 74.87/11.15  | | 
% 74.87/11.15  | | Case 1:
% 74.87/11.15  | | | 
% 74.87/11.15  | | |   (97)  all_6_3 = e2
% 74.87/11.15  | | | 
% 74.87/11.15  | | | REF_CLOSE: (60), (64), (97) are inconsistent by sub-proof #152.
% 74.87/11.15  | | | 
% 74.87/11.15  | | Case 2:
% 74.87/11.15  | | | 
% 74.87/11.15  | | |   (98)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 74.87/11.15  | | | 
% 74.87/11.15  | | | BETA: splitting (87) gives:
% 74.87/11.15  | | | 
% 74.87/11.15  | | | Case 1:
% 74.87/11.15  | | | | 
% 74.87/11.15  | | | |   (99)  all_10_4 = e1
% 74.87/11.15  | | | | 
% 74.87/11.15  | | | | COMBINE_EQS: (15), (99) imply:
% 74.87/11.15  | | | |   (100)  all_4_10 = e1
% 74.87/11.15  | | | | 
% 74.87/11.15  | | | | SIMP: (100) implies:
% 74.87/11.15  | | | |   (101)  all_4_10 = e1
% 74.87/11.15  | | | | 
% 74.87/11.15  | | | | REDUCE: (26), (101) imply:
% 74.87/11.15  | | | |   (102)   ~ (all_4_14 = e1)
% 74.87/11.15  | | | | 
% 74.87/11.15  | | | | SIMP: (102) implies:
% 74.87/11.15  | | | |   (103)   ~ (all_4_14 = e1)
% 74.87/11.15  | | | | 
% 74.87/11.15  | | | | REDUCE: (43), (101) imply:
% 74.87/11.15  | | | |   (104)   ~ (all_4_15 = e1)
% 74.87/11.15  | | | | 
% 74.87/11.15  | | | | SIMP: (104) implies:
% 74.87/11.15  | | | |   (105)   ~ (all_4_15 = e1)
% 74.87/11.15  | | | | 
% 74.87/11.15  | | | | REDUCE: (82), (101) imply:
% 74.87/11.15  | | | |   (106)   ~ (all_4_20 = e1)
% 74.87/11.15  | | | | 
% 74.87/11.15  | | | | BETA: splitting (32) gives:
% 74.87/11.15  | | | | 
% 74.87/11.15  | | | | Case 1:
% 74.87/11.15  | | | | | 
% 74.87/11.15  | | | | |   (107)  all_6_22 = e4
% 74.87/11.15  | | | | | 
% 74.87/11.15  | | | | | COMBINE_EQS: (79), (107) imply:
% 74.87/11.15  | | | | |   (108)  all_4_14 = e4
% 74.87/11.15  | | | | | 
% 74.87/11.15  | | | | | SIMP: (108) implies:
% 74.87/11.15  | | | | |   (109)  all_4_14 = e4
% 74.87/11.15  | | | | | 
% 74.87/11.15  | | | | | REDUCE: (66), (109) imply:
% 74.87/11.15  | | | | |   (110)   ~ (all_4_4 = e4)
% 74.87/11.15  | | | | | 
% 74.87/11.15  | | | | | REDUCE: (2), (109) imply:
% 74.87/11.15  | | | | |   (111)  op(e2, e4) = e0
% 74.87/11.15  | | | | | 
% 74.87/11.15  | | | | | REDUCE: (70), (109) imply:
% 74.87/11.15  | | | | |   (112)  op(e0, e4) = all_8_37
% 74.87/11.15  | | | | | 
% 74.87/11.15  | | | | | BETA: splitting (23) gives:
% 74.87/11.15  | | | | | 
% 74.87/11.15  | | | | | Case 1:
% 74.87/11.15  | | | | | | 
% 74.87/11.15  | | | | | |   (113)  all_6_20 = e4
% 74.87/11.15  | | | | | | 
% 74.87/11.15  | | | | | | COMBINE_EQS: (4), (113) imply:
% 74.87/11.15  | | | | | |   (114)  all_4_4 = e4
% 74.87/11.15  | | | | | | 
% 74.87/11.15  | | | | | | REDUCE: (110), (114) imply:
% 74.87/11.15  | | | | | |   (115)  $false
% 74.87/11.15  | | | | | | 
% 74.87/11.15  | | | | | | CLOSE: (115) is inconsistent.
% 74.87/11.15  | | | | | | 
% 74.87/11.15  | | | | | Case 2:
% 74.87/11.15  | | | | | | 
% 74.87/11.15  | | | | | |   (116)  all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 74.87/11.15  | | | | | | 
% 74.87/11.15  | | | | | | BETA: splitting (116) gives:
% 74.87/11.15  | | | | | | 
% 74.87/11.15  | | | | | | Case 1:
% 74.87/11.15  | | | | | | | 
% 74.87/11.15  | | | | | | |   (117)  all_6_20 = e1
% 74.87/11.15  | | | | | | | 
% 74.87/11.15  | | | | | | | COMBINE_EQS: (4), (117) imply:
% 74.87/11.15  | | | | | | |   (118)  all_4_4 = e1
% 74.87/11.15  | | | | | | | 
% 74.87/11.15  | | | | | | | REDUCE: (83), (118) imply:
% 74.87/11.15  | | | | | | |   (119)  $false
% 74.87/11.15  | | | | | | | 
% 74.87/11.15  | | | | | | | CLOSE: (119) is inconsistent.
% 74.87/11.15  | | | | | | | 
% 74.87/11.15  | | | | | | Case 2:
% 74.87/11.15  | | | | | | | 
% 74.87/11.15  | | | | | | |   (120)  all_6_20 = e3 | all_6_20 = e0
% 74.87/11.15  | | | | | | | 
% 74.87/11.15  | | | | | | | BETA: splitting (74) gives:
% 74.87/11.15  | | | | | | | 
% 74.87/11.15  | | | | | | | Case 1:
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | |   (121)  all_10_20 = e3
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | | COMBINE_EQS: (49), (121) imply:
% 74.87/11.15  | | | | | | | |   (122)  all_4_4 = e3
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | | SIMP: (122) implies:
% 74.87/11.15  | | | | | | | |   (123)  all_4_4 = e3
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | | REDUCE: (78), (123) imply:
% 74.87/11.15  | | | | | | | |   (124)   ~ (all_4_1 = e3)
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | | REDUCE: (13), (123) imply:
% 74.87/11.15  | | | | | | | |   (125)  op(e0, e4) = e3
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | | GROUND_INST: instantiating (76) with e3, all_8_37, e4, e0,
% 74.87/11.15  | | | | | | | |              simplifying with (112), (125) gives:
% 74.87/11.15  | | | | | | | |   (126)  all_8_37 = e3
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | | GROUND_INST: instantiating (76) with all_4_2, e0, e4, e2,
% 74.87/11.15  | | | | | | | |              simplifying with (35), (111) gives:
% 74.87/11.15  | | | | | | | |   (127)  all_4_2 = e0
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | | REDUCE: (3), (127) imply:
% 74.87/11.15  | | | | | | | |   (128)   ~ (all_4_1 = e0)
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | | REDUCE: (52), (127) imply:
% 74.87/11.15  | | | | | | | |   (129)   ~ (all_4_7 = e0)
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | | SIMP: (129) implies:
% 74.87/11.15  | | | | | | | |   (130)   ~ (all_4_7 = e0)
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | | BETA: splitting (46) gives:
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | | Case 1:
% 74.87/11.15  | | | | | | | | | 
% 74.87/11.15  | | | | | | | | |   (131)  all_10_1 = e0
% 74.87/11.15  | | | | | | | | | 
% 74.87/11.15  | | | | | | | | | REF_CLOSE: (5), (6), (10), (16), (22), (28), (38), (41), (44),
% 74.87/11.15  | | | | | | | | |            (45), (47), (50), (60), (62), (63), (65), (67),
% 74.87/11.15  | | | | | | | | |            (76), (90), (93), (96), (98), (105), (124), (128),
% 74.87/11.15  | | | | | | | | |            (131) are inconsistent by sub-proof #139.
% 74.87/11.15  | | | | | | | | | 
% 74.87/11.15  | | | | | | | | Case 2:
% 74.87/11.15  | | | | | | | | | 
% 74.87/11.15  | | | | | | | | |   (132)   ~ (all_10_1 = e0)
% 74.87/11.15  | | | | | | | | | 
% 74.87/11.15  | | | | | | | | | REDUCE: (16), (132) imply:
% 74.87/11.15  | | | | | | | | |   (133)   ~ (all_4_5 = e0)
% 74.87/11.15  | | | | | | | | | 
% 74.87/11.15  | | | | | | | | | REF_CLOSE: (8), (11), (18), (39), (42), (71), (73), (75),
% 74.87/11.15  | | | | | | | | |            (88), (130), (133) are inconsistent by sub-proof
% 74.87/11.15  | | | | | | | | |            #109.
% 74.87/11.15  | | | | | | | | | 
% 74.87/11.15  | | | | | | | | End of split
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | Case 2:
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | |   (134)   ~ (all_10_20 = e3)
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | | REDUCE: (49), (134) imply:
% 74.87/11.15  | | | | | | | |   (135)   ~ (all_4_4 = e3)
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | | REF_CLOSE: (4), (56), (120), (135) are inconsistent by sub-proof
% 74.87/11.15  | | | | | | | |            #122.
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | End of split
% 74.87/11.15  | | | | | | | 
% 74.87/11.15  | | | | | | End of split
% 74.87/11.15  | | | | | | 
% 74.87/11.15  | | | | | End of split
% 74.87/11.15  | | | | | 
% 74.87/11.15  | | | | Case 2:
% 74.87/11.15  | | | | | 
% 74.87/11.15  | | | | |   (136)  all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 74.87/11.15  | | | | | 
% 74.87/11.15  | | | | | REF_CLOSE: (14), (29), (79), (103), (136) are inconsistent by
% 74.87/11.15  | | | | |            sub-proof #130.
% 74.87/11.15  | | | | | 
% 74.87/11.15  | | | | End of split
% 74.87/11.15  | | | | 
% 74.87/11.15  | | | Case 2:
% 74.87/11.15  | | | | 
% 74.87/11.15  | | | |   (137)   ~ (all_10_4 = e1)
% 74.87/11.15  | | | | 
% 74.87/11.15  | | | | REDUCE: (15), (137) imply:
% 74.87/11.15  | | | |   (138)   ~ (all_4_10 = e1)
% 74.87/11.15  | | | | 
% 74.87/11.15  | | | | BETA: splitting (31) gives:
% 74.87/11.15  | | | | 
% 74.87/11.15  | | | | Case 1:
% 74.87/11.15  | | | | | 
% 74.87/11.15  | | | | |   (139)  all_10_0 = e1
% 74.87/11.15  | | | | | 
% 74.87/11.15  | | | | | COMBINE_EQS: (85), (139) imply:
% 74.87/11.15  | | | | |   (140)  e2 = e1
% 74.87/11.15  | | | | | 
% 74.87/11.15  | | | | | REDUCE: (51), (140) imply:
% 74.87/11.15  | | | | |   (141)  $false
% 74.87/11.15  | | | | | 
% 74.87/11.15  | | | | | CLOSE: (141) is inconsistent.
% 74.87/11.15  | | | | | 
% 74.87/11.15  | | | | Case 2:
% 74.87/11.15  | | | | | 
% 74.87/11.15  | | | | |   (142)  all_10_1 = e1 | all_10_4 = e1 | all_10_9 = e1 | all_10_16 =
% 74.87/11.15  | | | | |          e1
% 74.87/11.15  | | | | | 
% 74.87/11.15  | | | | | BETA: splitting (142) gives:
% 74.87/11.15  | | | | | 
% 74.87/11.15  | | | | | Case 1:
% 74.87/11.15  | | | | | | 
% 74.87/11.15  | | | | | |   (143)  all_10_1 = e1
% 74.87/11.15  | | | | | | 
% 74.87/11.15  | | | | | | COMBINE_EQS: (16), (143) imply:
% 74.87/11.15  | | | | | |   (144)  all_4_5 = e1
% 74.87/11.15  | | | | | | 
% 74.87/11.15  | | | | | | REDUCE: (42), (144) imply:
% 74.87/11.15  | | | | | |   (145)  $false
% 74.87/11.15  | | | | | | 
% 74.87/11.15  | | | | | | CLOSE: (145) is inconsistent.
% 74.87/11.15  | | | | | | 
% 74.87/11.15  | | | | | Case 2:
% 74.87/11.15  | | | | | | 
% 74.87/11.15  | | | | | |   (146)  all_10_4 = e1 | all_10_9 = e1 | all_10_16 = e1
% 74.87/11.15  | | | | | | 
% 74.87/11.15  | | | | | | BETA: splitting (146) gives:
% 74.87/11.15  | | | | | | 
% 74.87/11.15  | | | | | | Case 1:
% 74.87/11.15  | | | | | | | 
% 74.87/11.15  | | | | | | |   (147)  all_10_4 = e1
% 74.87/11.15  | | | | | | | 
% 74.87/11.15  | | | | | | | REF_CLOSE: (15), (138), (147) are inconsistent by sub-proof #85.
% 74.87/11.15  | | | | | | | 
% 74.87/11.15  | | | | | | Case 2:
% 74.87/11.15  | | | | | | | 
% 74.87/11.15  | | | | | | |   (148)  all_10_9 = e1 | all_10_16 = e1
% 74.87/11.15  | | | | | | | 
% 74.87/11.15  | | | | | | | BETA: splitting (30) gives:
% 74.87/11.15  | | | | | | | 
% 74.87/11.15  | | | | | | | Case 1:
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | |   (149)  all_10_9 = e1
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | | COMBINE_EQS: (65), (149) imply:
% 74.87/11.15  | | | | | | | |   (150)  all_4_15 = e1
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | | SIMP: (150) implies:
% 74.87/11.15  | | | | | | | |   (151)  all_4_15 = e1
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | | BETA: splitting (55) gives:
% 74.87/11.15  | | | | | | | | 
% 74.87/11.15  | | | | | | | | Case 1:
% 74.87/11.15  | | | | | | | | | 
% 74.87/11.15  | | | | | | | | |   (152)  all_10_0 = e3
% 74.87/11.15  | | | | | | | | | 
% 74.87/11.15  | | | | | | | | | REF_CLOSE: (10), (85), (152) are inconsistent by sub-proof
% 74.87/11.16  | | | | | | | | |            #104.
% 74.87/11.16  | | | | | | | | | 
% 74.87/11.16  | | | | | | | | Case 2:
% 74.87/11.16  | | | | | | | | | 
% 74.87/11.16  | | | | | | | | |   (153)  all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 74.87/11.16  | | | | | | | | |          all_10_16 = e3
% 74.87/11.16  | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | BETA: splitting (153) gives:
% 74.87/11.16  | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | Case 1:
% 74.87/11.16  | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | |   (154)  all_10_1 = e3
% 74.87/11.16  | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | COMBINE_EQS: (16), (154) imply:
% 74.87/11.16  | | | | | | | | | |   (155)  all_4_5 = e3
% 74.87/11.16  | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | REDUCE: (39), (155) imply:
% 74.87/11.16  | | | | | | | | | |   (156)  $false
% 74.87/11.16  | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | CLOSE: (156) is inconsistent.
% 74.87/11.16  | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | Case 2:
% 74.87/11.16  | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | |   (157)  all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3
% 74.87/11.16  | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | BETA: splitting (81) gives:
% 74.87/11.16  | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | Case 1:
% 74.87/11.16  | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | |   (158)  all_10_4 = e4
% 74.87/11.16  | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | COMBINE_EQS: (15), (158) imply:
% 74.87/11.16  | | | | | | | | | | |   (159)  all_4_10 = e4
% 74.87/11.16  | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | REDUCE: (72), (159) imply:
% 74.87/11.16  | | | | | | | | | | |   (160)   ~ (all_4_5 = e4)
% 74.87/11.16  | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | REDUCE: (82), (159) imply:
% 74.87/11.16  | | | | | | | | | | |   (161)   ~ (all_4_20 = e4)
% 74.87/11.16  | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | SIMP: (161) implies:
% 74.87/11.16  | | | | | | | | | | |   (162)   ~ (all_4_20 = e4)
% 74.87/11.16  | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | REDUCE: (9), (159) imply:
% 74.87/11.16  | | | | | | | | | | |   (163)   ~ (e4 = e3)
% 74.87/11.16  | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | REDUCE: (34), (159) imply:
% 74.87/11.16  | | | | | | | | | | |   (164)   ~ (e4 = e0)
% 74.87/11.16  | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | BETA: splitting (157) gives:
% 74.87/11.16  | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | Case 1:
% 74.87/11.16  | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | |   (165)  all_10_4 = e3
% 74.87/11.16  | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | COMBINE_EQS: (158), (165) imply:
% 74.87/11.16  | | | | | | | | | | | |   (166)  e4 = e3
% 74.87/11.16  | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | REDUCE: (163), (166) imply:
% 74.87/11.16  | | | | | | | | | | | |   (167)  $false
% 74.87/11.16  | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | CLOSE: (167) is inconsistent.
% 74.87/11.16  | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | Case 2:
% 74.87/11.16  | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | |   (168)  all_10_9 = e3 | all_10_16 = e3
% 74.87/11.16  | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | BETA: splitting (86) gives:
% 74.87/11.16  | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | Case 1:
% 74.87/11.16  | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | |   (169)  all_10_9 = e0
% 74.87/11.16  | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | COMBINE_EQS: (149), (169) imply:
% 74.87/11.16  | | | | | | | | | | | | |   (170)  e1 = e0
% 74.87/11.16  | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | REDUCE: (68), (170) imply:
% 74.87/11.16  | | | | | | | | | | | | |   (171)  $false
% 74.87/11.16  | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | CLOSE: (171) is inconsistent.
% 74.87/11.16  | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | Case 2:
% 74.87/11.16  | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | |   (172)  all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 |
% 74.87/11.16  | | | | | | | | | | | | |          all_10_23 = e0
% 74.87/11.16  | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | BETA: splitting (172) gives:
% 74.87/11.16  | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | Case 1:
% 74.87/11.16  | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | |   (173)  all_10_10 = e0
% 74.87/11.16  | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | COMBINE_EQS: (59), (173) imply:
% 74.87/11.16  | | | | | | | | | | | | | |   (174)  all_4_16 = e0
% 74.87/11.16  | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | SIMP: (174) implies:
% 74.87/11.16  | | | | | | | | | | | | | |   (175)  all_4_16 = e0
% 74.87/11.16  | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | REDUCE: (69), (175) imply:
% 74.87/11.16  | | | | | | | | | | | | | |   (176)   ~ (all_4_1 = e0)
% 74.87/11.16  | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | REDUCE: (12), (175) imply:
% 74.87/11.16  | | | | | | | | | | | | | |   (177)   ~ (all_4_19 = e0)
% 74.87/11.16  | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | REDUCE: (24), (175) imply:
% 74.87/11.16  | | | | | | | | | | | | | |   (178)   ~ (all_4_21 = e0)
% 74.87/11.16  | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | SIMP: (178) implies:
% 74.87/11.16  | | | | | | | | | | | | | |   (179)   ~ (all_4_21 = e0)
% 74.87/11.16  | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 74.87/11.16  | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | Case 1:
% 74.87/11.16  | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | |   (180)  all_10_9 = e3
% 74.87/11.16  | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | REF_CLOSE: (25), (149), (180) are inconsistent by sub-proof
% 74.87/11.16  | | | | | | | | | | | | | | |            #84.
% 74.87/11.16  | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | Case 2:
% 74.87/11.16  | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | |   (181)   ~ (all_10_9 = e3)
% 74.87/11.16  | | | | | | | | | | | | | | |   (182)  all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 74.87/11.16  | | | | | | | | | | | | | | |          all_10_23 = e3
% 74.87/11.16  | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | REDUCE: (149), (181) imply:
% 74.87/11.16  | | | | | | | | | | | | | | |   (183)   ~ (e3 = e1)
% 74.87/11.16  | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | BETA: splitting (8) gives:
% 74.87/11.16  | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | Case 1:
% 74.87/11.16  | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | |   (184)  all_6_1 = e4
% 74.87/11.16  | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | REF_CLOSE: (71), (160), (184) are inconsistent by sub-proof
% 74.87/11.16  | | | | | | | | | | | | | | | |            #138.
% 74.87/11.16  | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | Case 2:
% 74.87/11.16  | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | |   (185)  all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.87/11.16  | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 74.87/11.16  | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | Case 1:
% 74.87/11.16  | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | |   (186)  all_10_9 = e3
% 74.87/11.16  | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (149), (186) are inconsistent by sub-proof
% 74.87/11.16  | | | | | | | | | | | | | | | | |            #84.
% 74.87/11.16  | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | Case 2:
% 74.87/11.16  | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | |   (187)  all_10_16 = e3
% 74.87/11.16  | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | COMBINE_EQS: (28), (187) imply:
% 74.87/11.16  | | | | | | | | | | | | | | | | |   (188)  all_4_20 = e3
% 74.87/11.16  | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | REDUCE: (19), (188) imply:
% 74.87/11.16  | | | | | | | | | | | | | | | | |   (189)   ~ (all_4_21 = e3)
% 74.87/11.16  | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | SIMP: (189) implies:
% 74.87/11.16  | | | | | | | | | | | | | | | | |   (190)   ~ (all_4_21 = e3)
% 74.87/11.16  | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | REDUCE: (162), (188) imply:
% 74.87/11.16  | | | | | | | | | | | | | | | | |   (191)   ~ (e4 = e3)
% 74.87/11.16  | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | REDUCE: (62), (188) imply:
% 74.87/11.16  | | | | | | | | | | | | | | | | |   (192)  op(e4, e3) = all_8_53
% 74.87/11.16  | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 74.87/11.16  | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | Case 1:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | |   (193)  all_10_2 = e3
% 74.87/11.16  | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (58), (193) imply:
% 74.87/11.16  | | | | | | | | | | | | | | | | | |   (194)  all_4_1 = e3
% 74.87/11.16  | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | SIMP: (194) implies:
% 74.87/11.16  | | | | | | | | | | | | | | | | | |   (195)  all_4_1 = e3
% 74.87/11.16  | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | REDUCE: (176), (195) imply:
% 74.87/11.16  | | | | | | | | | | | | | | | | | |   (196)   ~ (e3 = e0)
% 74.87/11.16  | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | REDUCE: (93), (195) imply:
% 74.87/11.16  | | | | | | | | | | | | | | | | | |   (197)  op(e4, e3) = e3
% 74.87/11.16  | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | Case 1:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | |   (198)  all_10_10 = e3
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (173), (196), (198) are inconsistent by sub-proof
% 74.87/11.16  | | | | | | | | | | | | | | | | | | |            #83.
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | Case 2:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | |   (199)  all_10_11 = e3 | all_10_15 = e3 | all_10_23 = e3
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | Case 1:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | |   (200)  all_10_11 = e3
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (54), (200) imply:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | |   (201)  e3 = e2
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (201) imply:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | |   (202)  $false
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | CLOSE: (202) is inconsistent.
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | Case 2:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | |   (203)  all_10_15 = e3 | all_10_23 = e3
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | |   (204)  all_6_1 = e1
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (71), (204) are inconsistent by sub-proof
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | |            #137.
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | |   (205)  all_6_1 = e3 | all_6_1 = e0
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (46) gives:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | |   (206)  all_10_1 = e0
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (206) imply:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | |   (207)  all_4_5 = e0
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (207) imply:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | |   (208)  op(e4, e3) = e0
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | |   (209)  all_10_15 = e3
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17), (209) imply:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | |   (210)  e4 = e3
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (210) imply:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | |   (211)  $false
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (211) is inconsistent.
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | |   (212)  all_10_23 = e3
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (212) imply:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | |   (213)  all_4_19 = e3
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (213) implies:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | |   (214)  all_4_19 = e3
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (76) with e3, all_8_53, e3, e4,
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (192), (197) gives:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | |   (215)  all_8_53 = e3
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (76) with e0, all_8_53, e3, e4,
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (192), (208) gives:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | |   (216)  all_8_53 = e0
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (215), (216) imply:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | |   (217)  e3 = e0
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (163), (196), (203), (212), (217) are
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #82.
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | |   (218)   ~ (all_10_1 = e0)
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (218) imply:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | |   (219)   ~ (all_4_5 = e0)
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (71), (205), (219) are inconsistent by
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #136.
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | End of split
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | End of split
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | End of split
% 74.87/11.16  | | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | End of split
% 74.87/11.16  | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | Case 2:
% 74.87/11.16  | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | |   (220)   ~ (all_10_2 = e3)
% 74.87/11.16  | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (40), (45), (50), (53), (58), (61), (96),
% 74.87/11.16  | | | | | | | | | | | | | | | | | |            (176), (179), (190), (220) are inconsistent by
% 74.87/11.16  | | | | | | | | | | | | | | | | | |            sub-proof #80.
% 74.87/11.16  | | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | | End of split
% 74.87/11.16  | | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | | End of split
% 74.87/11.16  | | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | | End of split
% 74.87/11.16  | | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | End of split
% 74.87/11.16  | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | Case 2:
% 74.87/11.16  | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | |   (221)  all_10_11 = e0 | all_10_15 = e0 | all_10_23 = e0
% 74.87/11.16  | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | | REF_CLOSE: (7), (17), (20), (33), (54), (164), (221) are
% 74.87/11.16  | | | | | | | | | | | | | |            inconsistent by sub-proof #79.
% 74.87/11.16  | | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | | End of split
% 74.87/11.16  | | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | | End of split
% 74.87/11.16  | | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | End of split
% 74.87/11.16  | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | Case 2:
% 74.87/11.16  | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | |   (222)   ~ (all_10_4 = e4)
% 74.87/11.16  | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | REDUCE: (15), (222) imply:
% 74.87/11.16  | | | | | | | | | | |   (223)   ~ (all_4_10 = e4)
% 74.87/11.16  | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | | REF_CLOSE: (9), (34), (77), (84), (138), (223) are
% 74.87/11.16  | | | | | | | | | | |            inconsistent by sub-proof #161.
% 74.87/11.16  | | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | | End of split
% 74.87/11.16  | | | | | | | | | | 
% 74.87/11.16  | | | | | | | | | End of split
% 74.87/11.16  | | | | | | | | | 
% 74.87/11.16  | | | | | | | | End of split
% 74.87/11.16  | | | | | | | | 
% 74.87/11.16  | | | | | | | Case 2:
% 74.87/11.16  | | | | | | | | 
% 74.87/11.16  | | | | | | | |   (224)   ~ (all_10_9 = e1)
% 74.87/11.16  | | | | | | | | 
% 74.87/11.16  | | | | | | | | REF_CLOSE: (5), (28), (65), (148), (224) are inconsistent by
% 74.87/11.16  | | | | | | | |            sub-proof #78.
% 74.87/11.16  | | | | | | | | 
% 74.87/11.16  | | | | | | | End of split
% 74.87/11.16  | | | | | | | 
% 74.87/11.16  | | | | | | End of split
% 74.87/11.16  | | | | | | 
% 74.87/11.16  | | | | | End of split
% 74.87/11.16  | | | | | 
% 74.87/11.16  | | | | End of split
% 74.87/11.16  | | | | 
% 74.87/11.16  | | | End of split
% 74.87/11.16  | | | 
% 74.87/11.16  | | End of split
% 74.87/11.16  | | 
% 74.87/11.16  | End of split
% 74.87/11.16  | 
% 74.87/11.16  End of proof
% 74.87/11.16  
% 74.87/11.16  Sub-proof #78 shows that the following formulas are inconsistent:
% 74.87/11.16  ----------------------------------------------------------------
% 74.87/11.16    (1)   ~ (all_4_20 = e1)
% 74.87/11.16    (2)   ~ (all_10_9 = e1)
% 74.87/11.16    (3)  all_10_16 = all_4_20
% 74.87/11.16    (4)  all_10_9 = all_4_15
% 74.87/11.16    (5)  all_10_9 = e1 | all_10_16 = e1
% 74.87/11.16  
% 74.87/11.16  Begin of proof
% 74.87/11.16  | 
% 74.87/11.16  | REDUCE: (2), (4) imply:
% 74.87/11.16  |   (6)   ~ (all_4_15 = e1)
% 74.87/11.16  | 
% 74.87/11.16  | BETA: splitting (5) gives:
% 74.87/11.16  | 
% 74.87/11.16  | Case 1:
% 74.87/11.16  | | 
% 74.87/11.16  | |   (7)  all_10_9 = e1
% 74.87/11.16  | | 
% 74.87/11.16  | | COMBINE_EQS: (4), (7) imply:
% 74.87/11.16  | |   (8)  all_4_15 = e1
% 74.87/11.16  | | 
% 74.87/11.16  | | REDUCE: (6), (8) imply:
% 74.87/11.16  | |   (9)  $false
% 74.87/11.16  | | 
% 74.87/11.16  | | CLOSE: (9) is inconsistent.
% 74.87/11.16  | | 
% 74.87/11.16  | Case 2:
% 74.87/11.16  | | 
% 74.87/11.16  | |   (10)  all_10_16 = e1
% 74.87/11.16  | | 
% 74.87/11.16  | | COMBINE_EQS: (3), (10) imply:
% 74.87/11.16  | |   (11)  all_4_20 = e1
% 74.87/11.16  | | 
% 74.87/11.16  | | REDUCE: (1), (11) imply:
% 74.87/11.16  | |   (12)  $false
% 74.87/11.16  | | 
% 74.87/11.16  | | CLOSE: (12) is inconsistent.
% 74.87/11.16  | | 
% 74.87/11.16  | End of split
% 74.87/11.16  | 
% 74.87/11.16  End of proof
% 74.87/11.16  
% 74.87/11.16  Sub-proof #79 shows that the following formulas are inconsistent:
% 74.87/11.16  ----------------------------------------------------------------
% 74.87/11.16    (1)   ~ (all_4_19 = e0)
% 74.87/11.16    (2)  all_10_15 = e4
% 74.87/11.16    (3)   ~ (e2 = e0)
% 74.87/11.16    (4)  all_10_11 = e0 | all_10_15 = e0 | all_10_23 = e0
% 74.87/11.16    (5)   ~ (e4 = e0)
% 74.87/11.16    (6)  all_10_23 = all_4_19
% 74.87/11.16    (7)  all_10_11 = e2
% 74.87/11.16  
% 74.87/11.16  Begin of proof
% 74.87/11.16  | 
% 74.87/11.16  | BETA: splitting (4) gives:
% 74.87/11.16  | 
% 74.87/11.16  | Case 1:
% 74.87/11.16  | | 
% 74.87/11.16  | |   (8)  all_10_11 = e0
% 74.87/11.16  | | 
% 74.87/11.16  | | COMBINE_EQS: (7), (8) imply:
% 74.87/11.16  | |   (9)  e2 = e0
% 74.87/11.16  | | 
% 74.87/11.16  | | SIMP: (9) implies:
% 74.87/11.16  | |   (10)  e2 = e0
% 74.87/11.16  | | 
% 74.87/11.16  | | REDUCE: (3), (10) imply:
% 74.87/11.16  | |   (11)  $false
% 74.87/11.16  | | 
% 74.87/11.16  | | CLOSE: (11) is inconsistent.
% 74.87/11.16  | | 
% 74.87/11.16  | Case 2:
% 74.87/11.16  | | 
% 74.87/11.16  | |   (12)  all_10_15 = e0 | all_10_23 = e0
% 74.87/11.16  | | 
% 74.87/11.16  | | BETA: splitting (12) gives:
% 74.87/11.16  | | 
% 74.87/11.16  | | Case 1:
% 74.87/11.16  | | | 
% 74.87/11.16  | | |   (13)  all_10_15 = e0
% 74.87/11.16  | | | 
% 74.87/11.16  | | | COMBINE_EQS: (2), (13) imply:
% 74.87/11.16  | | |   (14)  e4 = e0
% 74.87/11.16  | | | 
% 74.87/11.16  | | | REDUCE: (5), (14) imply:
% 74.87/11.16  | | |   (15)  $false
% 74.87/11.16  | | | 
% 74.87/11.16  | | | CLOSE: (15) is inconsistent.
% 74.87/11.16  | | | 
% 74.87/11.16  | | Case 2:
% 74.87/11.16  | | | 
% 74.87/11.16  | | |   (16)  all_10_23 = e0
% 74.87/11.16  | | | 
% 74.87/11.16  | | | COMBINE_EQS: (6), (16) imply:
% 74.87/11.16  | | |   (17)  all_4_19 = e0
% 74.87/11.16  | | | 
% 74.87/11.16  | | | SIMP: (17) implies:
% 74.87/11.16  | | |   (18)  all_4_19 = e0
% 74.87/11.16  | | | 
% 74.87/11.16  | | | REDUCE: (1), (18) imply:
% 74.87/11.16  | | |   (19)  $false
% 74.87/11.16  | | | 
% 74.87/11.16  | | | CLOSE: (19) is inconsistent.
% 74.87/11.16  | | | 
% 74.87/11.16  | | End of split
% 74.87/11.16  | | 
% 74.87/11.16  | End of split
% 74.87/11.16  | 
% 74.87/11.16  End of proof
% 74.87/11.16  
% 74.87/11.16  Sub-proof #80 shows that the following formulas are inconsistent:
% 74.87/11.16  ----------------------------------------------------------------
% 74.87/11.16    (1)   ~ (all_4_1 = e0)
% 74.87/11.16    (2)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 74.87/11.16    (3)  all_6_9 = all_4_21
% 74.87/11.16    (4)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 74.87/11.16    (5)  all_6_5 = all_4_1
% 74.87/11.16    (6)   ~ (all_4_1 = e1)
% 74.87/11.16    (7)   ~ (all_4_1 = all_4_21)
% 74.87/11.16    (8)  all_10_2 = all_4_1
% 74.87/11.16    (9)   ~ (all_4_21 = e1)
% 74.87/11.16    (10)   ~ (all_4_21 = e3)
% 74.87/11.16    (11)   ~ (all_4_21 = e0)
% 74.87/11.16    (12)   ~ (all_10_2 = e3)
% 74.87/11.16  
% 74.87/11.16  Begin of proof
% 74.87/11.16  | 
% 74.87/11.16  | REDUCE: (8), (12) imply:
% 74.87/11.16  |   (13)   ~ (all_4_1 = e3)
% 74.87/11.16  | 
% 74.87/11.16  | BETA: splitting (4) gives:
% 74.87/11.16  | 
% 74.87/11.16  | Case 1:
% 74.87/11.16  | | 
% 74.87/11.16  | |   (14)  all_6_9 = e4
% 74.87/11.16  | | 
% 74.87/11.16  | | COMBINE_EQS: (3), (14) imply:
% 74.87/11.16  | |   (15)  all_4_21 = e4
% 74.87/11.16  | | 
% 74.87/11.16  | | SIMP: (15) implies:
% 74.87/11.16  | |   (16)  all_4_21 = e4
% 74.87/11.16  | | 
% 74.87/11.16  | | REDUCE: (7), (16) imply:
% 74.87/11.16  | |   (17)   ~ (all_4_1 = e4)
% 74.87/11.16  | | 
% 74.87/11.16  | | BETA: splitting (2) gives:
% 74.87/11.16  | | 
% 74.87/11.16  | | Case 1:
% 74.87/11.16  | | | 
% 74.87/11.16  | | |   (18)  all_6_5 = e4
% 74.87/11.16  | | | 
% 74.87/11.16  | | | REF_CLOSE: (5), (17), (18) are inconsistent by sub-proof #81.
% 74.87/11.16  | | | 
% 74.87/11.16  | | Case 2:
% 74.87/11.16  | | | 
% 74.87/11.16  | | |   (19)  all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 74.87/11.16  | | | 
% 74.87/11.16  | | | REF_CLOSE: (1), (5), (6), (13), (19) are inconsistent by sub-proof #140.
% 74.87/11.16  | | | 
% 74.87/11.16  | | End of split
% 74.87/11.16  | | 
% 74.87/11.16  | Case 2:
% 74.87/11.16  | | 
% 74.87/11.16  | |   (20)  all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 74.87/11.16  | | 
% 74.87/11.16  | | REF_CLOSE: (3), (9), (10), (11), (20) are inconsistent by sub-proof #111.
% 74.87/11.16  | | 
% 74.87/11.16  | End of split
% 74.87/11.16  | 
% 74.87/11.16  End of proof
% 74.87/11.16  
% 74.87/11.16  Sub-proof #81 shows that the following formulas are inconsistent:
% 74.87/11.16  ----------------------------------------------------------------
% 74.87/11.16    (1)  all_6_5 = all_4_1
% 74.87/11.16    (2)  all_6_5 = e4
% 74.87/11.16    (3)   ~ (all_4_1 = e4)
% 74.87/11.16  
% 74.87/11.16  Begin of proof
% 74.87/11.16  | 
% 74.87/11.16  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.16  |   (4)  all_4_1 = e4
% 74.87/11.16  | 
% 74.87/11.16  | SIMP: (4) implies:
% 74.87/11.16  |   (5)  all_4_1 = e4
% 74.87/11.16  | 
% 74.87/11.16  | REDUCE: (3), (5) imply:
% 74.87/11.16  |   (6)  $false
% 74.87/11.16  | 
% 74.87/11.16  | CLOSE: (6) is inconsistent.
% 74.87/11.16  | 
% 74.87/11.16  End of proof
% 74.87/11.16  
% 74.87/11.16  Sub-proof #82 shows that the following formulas are inconsistent:
% 74.87/11.16  ----------------------------------------------------------------
% 74.87/11.16    (1)  all_10_23 = e3
% 74.87/11.16    (2)  all_10_15 = e4
% 74.87/11.16    (3)  all_10_15 = e3 | all_10_23 = e3
% 74.87/11.16    (4)   ~ (e4 = e3)
% 74.87/11.16    (5)   ~ (e3 = e0)
% 74.87/11.16    (6)  e3 = e0
% 74.87/11.16  
% 74.87/11.16  Begin of proof
% 74.87/11.16  | 
% 74.87/11.16  | COMBINE_EQS: (1), (6) imply:
% 74.87/11.17  |   (7)  all_10_23 = e0
% 74.87/11.17  | 
% 74.87/11.17  | BETA: splitting (3) gives:
% 74.87/11.17  | 
% 74.87/11.17  | Case 1:
% 74.87/11.17  | | 
% 74.87/11.17  | |   (8)  all_10_15 = e3
% 74.87/11.17  | | 
% 74.87/11.17  | | COMBINE_EQS: (2), (8) imply:
% 74.87/11.17  | |   (9)  e4 = e3
% 74.87/11.17  | | 
% 74.87/11.17  | | REDUCE: (4), (9) imply:
% 74.87/11.17  | |   (10)  $false
% 74.87/11.17  | | 
% 74.87/11.17  | | CLOSE: (10) is inconsistent.
% 74.87/11.17  | | 
% 74.87/11.17  | Case 2:
% 74.87/11.17  | | 
% 74.87/11.17  | | 
% 74.87/11.17  | | COMBINE_EQS: (1), (7) imply:
% 74.87/11.17  | |   (11)  e3 = e0
% 74.87/11.17  | | 
% 74.87/11.17  | | REDUCE: (5), (6) imply:
% 74.87/11.17  | |   (12)  $false
% 74.87/11.17  | | 
% 74.87/11.17  | | CLOSE: (12) is inconsistent.
% 74.87/11.17  | | 
% 74.87/11.17  | End of split
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #83 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.17    (1)  all_10_10 = e3
% 74.87/11.17    (2)  all_10_10 = e0
% 74.87/11.17    (3)   ~ (e3 = e0)
% 74.87/11.17  
% 74.87/11.17  Begin of proof
% 74.87/11.17  | 
% 74.87/11.17  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.17  |   (4)  e3 = e0
% 74.87/11.17  | 
% 74.87/11.17  | SIMP: (4) implies:
% 74.87/11.17  |   (5)  e3 = e0
% 74.87/11.17  | 
% 74.87/11.17  | REDUCE: (3), (5) imply:
% 74.87/11.17  |   (6)  $false
% 74.87/11.17  | 
% 74.87/11.17  | CLOSE: (6) is inconsistent.
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #84 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.17    (1)  all_10_9 = e3
% 74.87/11.17    (2)  all_10_9 = e1
% 74.87/11.17    (3)   ~ (e3 = e1)
% 74.87/11.17  
% 74.87/11.17  Begin of proof
% 74.87/11.17  | 
% 74.87/11.17  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.17  |   (4)  e3 = e1
% 74.87/11.17  | 
% 74.87/11.17  | SIMP: (4) implies:
% 74.87/11.17  |   (5)  e3 = e1
% 74.87/11.17  | 
% 74.87/11.17  | REDUCE: (3), (5) imply:
% 74.87/11.17  |   (6)  $false
% 74.87/11.17  | 
% 74.87/11.17  | CLOSE: (6) is inconsistent.
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #85 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.17    (1)  all_10_4 = all_4_10
% 74.87/11.17    (2)  all_10_4 = e1
% 74.87/11.17    (3)   ~ (all_4_10 = e1)
% 74.87/11.17  
% 74.87/11.17  Begin of proof
% 74.87/11.17  | 
% 74.87/11.17  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.17  |   (4)  all_4_10 = e1
% 74.87/11.17  | 
% 74.87/11.17  | SIMP: (4) implies:
% 74.87/11.17  |   (5)  all_4_10 = e1
% 74.87/11.17  | 
% 74.87/11.17  | REDUCE: (3), (5) imply:
% 74.87/11.17  |   (6)  $false
% 74.87/11.17  | 
% 74.87/11.17  | CLOSE: (6) is inconsistent.
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #86 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.17    (1)  all_10_6 = all_4_2
% 74.87/11.17    (2)  all_10_6 = e1
% 74.87/11.17    (3)   ~ (all_4_2 = e1)
% 74.87/11.17  
% 74.87/11.17  Begin of proof
% 74.87/11.17  | 
% 74.87/11.17  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.17  |   (4)  all_4_2 = e1
% 74.87/11.17  | 
% 74.87/11.17  | SIMP: (4) implies:
% 74.87/11.17  |   (5)  all_4_2 = e1
% 74.87/11.17  | 
% 74.87/11.17  | REDUCE: (3), (5) imply:
% 74.87/11.17  |   (6)  $false
% 74.87/11.17  | 
% 74.87/11.17  | CLOSE: (6) is inconsistent.
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #87 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.17    (1)   ~ (all_4_19 = e2)
% 74.87/11.17    (2)  all_10_15 = e4
% 74.87/11.17    (3)  all_10_23 = all_4_19
% 74.87/11.17    (4)  all_10_15 = e2 | all_10_23 = e2
% 74.87/11.17    (5)   ~ (e4 = e2)
% 74.87/11.17  
% 74.87/11.17  Begin of proof
% 74.87/11.17  | 
% 74.87/11.17  | BETA: splitting (4) gives:
% 74.87/11.17  | 
% 74.87/11.17  | Case 1:
% 74.87/11.17  | | 
% 74.87/11.17  | |   (6)  all_10_15 = e2
% 74.87/11.17  | | 
% 74.87/11.17  | | COMBINE_EQS: (2), (6) imply:
% 74.87/11.17  | |   (7)  e4 = e2
% 74.87/11.17  | | 
% 74.87/11.17  | | REDUCE: (5), (7) imply:
% 74.87/11.17  | |   (8)  $false
% 74.87/11.17  | | 
% 74.87/11.17  | | CLOSE: (8) is inconsistent.
% 74.87/11.17  | | 
% 74.87/11.17  | Case 2:
% 74.87/11.17  | | 
% 74.87/11.17  | |   (9)  all_10_23 = e2
% 74.87/11.17  | | 
% 74.87/11.17  | | COMBINE_EQS: (3), (9) imply:
% 74.87/11.17  | |   (10)  all_4_19 = e2
% 74.87/11.17  | | 
% 74.87/11.17  | | SIMP: (10) implies:
% 74.87/11.17  | |   (11)  all_4_19 = e2
% 74.87/11.17  | | 
% 74.87/11.17  | | REDUCE: (1), (11) imply:
% 74.87/11.17  | |   (12)  $false
% 74.87/11.17  | | 
% 74.87/11.17  | | CLOSE: (12) is inconsistent.
% 74.87/11.17  | | 
% 74.87/11.17  | End of split
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #88 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.17    (1)  all_10_13 = all_4_8
% 74.87/11.17    (2)  all_10_13 = e2
% 74.87/11.17    (3)   ~ (all_4_8 = e2)
% 74.87/11.17  
% 74.87/11.17  Begin of proof
% 74.87/11.17  | 
% 74.87/11.17  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.17  |   (4)  all_4_8 = e2
% 74.87/11.17  | 
% 74.87/11.17  | SIMP: (4) implies:
% 74.87/11.17  |   (5)  all_4_8 = e2
% 74.87/11.17  | 
% 74.87/11.17  | REDUCE: (3), (5) imply:
% 74.87/11.17  |   (6)  $false
% 74.87/11.17  | 
% 74.87/11.17  | CLOSE: (6) is inconsistent.
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #89 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.17    (1)  all_10_12 = all_4_3
% 74.87/11.17    (2)  all_10_12 = e2
% 74.87/11.17    (3)   ~ (all_4_3 = e2)
% 74.87/11.17  
% 74.87/11.17  Begin of proof
% 74.87/11.17  | 
% 74.87/11.17  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.17  |   (4)  all_4_3 = e2
% 74.87/11.17  | 
% 74.87/11.17  | SIMP: (4) implies:
% 74.87/11.17  |   (5)  all_4_3 = e2
% 74.87/11.17  | 
% 74.87/11.17  | REDUCE: (3), (5) imply:
% 74.87/11.17  |   (6)  $false
% 74.87/11.17  | 
% 74.87/11.17  | CLOSE: (6) is inconsistent.
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #90 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.17    (1)   ~ (all_4_11 = e0)
% 74.87/11.17    (2)   ~ (all_4_11 = e3)
% 74.87/11.17    (3)   ~ (all_4_11 = e1)
% 74.87/11.17    (4)   ~ (all_4_11 = e4)
% 74.87/11.17    (5)  all_6_7 = all_4_11
% 74.87/11.17    (6)  all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 74.87/11.17  
% 74.87/11.17  Begin of proof
% 74.87/11.17  | 
% 74.87/11.17  | BETA: splitting (6) gives:
% 74.87/11.17  | 
% 74.87/11.17  | Case 1:
% 74.87/11.17  | | 
% 74.87/11.17  | |   (7)  all_6_7 = e4
% 74.87/11.17  | | 
% 74.87/11.17  | | COMBINE_EQS: (5), (7) imply:
% 74.87/11.17  | |   (8)  all_4_11 = e4
% 74.87/11.17  | | 
% 74.87/11.17  | | REDUCE: (4), (8) imply:
% 74.87/11.17  | |   (9)  $false
% 74.87/11.17  | | 
% 74.87/11.17  | | CLOSE: (9) is inconsistent.
% 74.87/11.17  | | 
% 74.87/11.17  | Case 2:
% 74.87/11.17  | | 
% 74.87/11.17  | |   (10)  all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 74.87/11.17  | | 
% 74.87/11.17  | | REF_CLOSE: (1), (2), (3), (5), (10) are inconsistent by sub-proof #91.
% 74.87/11.17  | | 
% 74.87/11.17  | End of split
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #91 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.17    (1)   ~ (all_4_11 = e0)
% 74.87/11.17    (2)   ~ (all_4_11 = e3)
% 74.87/11.17    (3)  all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 74.87/11.17    (4)   ~ (all_4_11 = e1)
% 74.87/11.17    (5)  all_6_7 = all_4_11
% 74.87/11.17  
% 74.87/11.17  Begin of proof
% 74.87/11.17  | 
% 74.87/11.17  | BETA: splitting (3) gives:
% 74.87/11.17  | 
% 74.87/11.17  | Case 1:
% 74.87/11.17  | | 
% 74.87/11.17  | |   (6)  all_6_7 = e1
% 74.87/11.17  | | 
% 74.87/11.17  | | COMBINE_EQS: (5), (6) imply:
% 74.87/11.17  | |   (7)  all_4_11 = e1
% 74.87/11.17  | | 
% 74.87/11.17  | | REDUCE: (4), (7) imply:
% 74.87/11.17  | |   (8)  $false
% 74.87/11.17  | | 
% 74.87/11.17  | | CLOSE: (8) is inconsistent.
% 74.87/11.17  | | 
% 74.87/11.17  | Case 2:
% 74.87/11.17  | | 
% 74.87/11.17  | |   (9)  all_6_7 = e3 | all_6_7 = e0
% 74.87/11.17  | | 
% 74.87/11.17  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #92.
% 74.87/11.17  | | 
% 74.87/11.17  | End of split
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #92 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.17    (1)  all_6_7 = e3 | all_6_7 = e0
% 74.87/11.17    (2)  all_6_7 = all_4_11
% 74.87/11.17    (3)   ~ (all_4_11 = e3)
% 74.87/11.17    (4)   ~ (all_4_11 = e0)
% 74.87/11.17  
% 74.87/11.17  Begin of proof
% 74.87/11.17  | 
% 74.87/11.17  | BETA: splitting (1) gives:
% 74.87/11.17  | 
% 74.87/11.17  | Case 1:
% 74.87/11.17  | | 
% 74.87/11.17  | |   (5)  all_6_7 = e3
% 74.87/11.17  | | 
% 74.87/11.17  | | COMBINE_EQS: (2), (5) imply:
% 74.87/11.17  | |   (6)  all_4_11 = e3
% 74.87/11.17  | | 
% 74.87/11.17  | | REDUCE: (3), (6) imply:
% 74.87/11.17  | |   (7)  $false
% 74.87/11.17  | | 
% 74.87/11.17  | | CLOSE: (7) is inconsistent.
% 74.87/11.17  | | 
% 74.87/11.17  | Case 2:
% 74.87/11.17  | | 
% 74.87/11.17  | |   (8)  all_6_7 = e0
% 74.87/11.17  | | 
% 74.87/11.17  | | COMBINE_EQS: (2), (8) imply:
% 74.87/11.17  | |   (9)  all_4_11 = e0
% 74.87/11.17  | | 
% 74.87/11.17  | | REDUCE: (4), (9) imply:
% 74.87/11.17  | |   (10)  $false
% 74.87/11.17  | | 
% 74.87/11.17  | | CLOSE: (10) is inconsistent.
% 74.87/11.17  | | 
% 74.87/11.17  | End of split
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #93 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.17    (1)  all_8_36 = e0 &  ~ (all_8_37 = e2)
% 74.87/11.17    (2)  all_8_36 = e3
% 74.87/11.17    (3)   ~ (e3 = e0)
% 74.87/11.17  
% 74.87/11.17  Begin of proof
% 74.87/11.17  | 
% 74.87/11.17  | ALPHA: (1) implies:
% 74.87/11.17  |   (4)  all_8_36 = e0
% 74.87/11.17  | 
% 74.87/11.17  | COMBINE_EQS: (2), (4) imply:
% 74.87/11.17  |   (5)  e3 = e0
% 74.87/11.17  | 
% 74.87/11.17  | SIMP: (5) implies:
% 74.87/11.17  |   (6)  e3 = e0
% 74.87/11.17  | 
% 74.87/11.17  | REDUCE: (3), (6) imply:
% 74.87/11.17  |   (7)  $false
% 74.87/11.17  | 
% 74.87/11.17  | CLOSE: (7) is inconsistent.
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #94 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.17    (1)  all_6_19 = all_4_23
% 74.87/11.17    (2)  all_6_19 = e3 | all_6_19 = e0
% 74.87/11.17    (3)   ~ (all_4_3 = all_4_23)
% 74.87/11.17    (4)   ~ (all_4_3 = e0)
% 74.87/11.17    (5)  all_6_15 = all_4_3
% 74.87/11.17    (6)  all_6_15 = e3 | all_6_15 = e0
% 74.87/11.17    (7)   ~ (all_4_23 = e0)
% 74.87/11.17  
% 74.87/11.17  Begin of proof
% 74.87/11.17  | 
% 74.87/11.17  | BETA: splitting (6) gives:
% 74.87/11.17  | 
% 74.87/11.17  | Case 1:
% 74.87/11.17  | | 
% 74.87/11.17  | |   (8)  all_6_15 = e3
% 74.87/11.17  | | 
% 74.87/11.17  | | COMBINE_EQS: (5), (8) imply:
% 74.87/11.17  | |   (9)  all_4_3 = e3
% 74.87/11.17  | | 
% 74.87/11.17  | | SIMP: (9) implies:
% 74.87/11.17  | |   (10)  all_4_3 = e3
% 74.87/11.17  | | 
% 74.87/11.17  | | REDUCE: (3), (10) imply:
% 74.87/11.17  | |   (11)   ~ (all_4_23 = e3)
% 74.87/11.17  | | 
% 74.87/11.17  | | SIMP: (11) implies:
% 74.87/11.17  | |   (12)   ~ (all_4_23 = e3)
% 74.87/11.17  | | 
% 74.87/11.17  | | BETA: splitting (2) gives:
% 74.87/11.17  | | 
% 74.87/11.17  | | Case 1:
% 74.87/11.17  | | | 
% 74.87/11.17  | | |   (13)  all_6_19 = e3
% 74.87/11.17  | | | 
% 74.87/11.17  | | | COMBINE_EQS: (1), (13) imply:
% 74.87/11.17  | | |   (14)  all_4_23 = e3
% 74.87/11.17  | | | 
% 74.87/11.17  | | | REDUCE: (12), (14) imply:
% 74.87/11.17  | | |   (15)  $false
% 74.87/11.17  | | | 
% 74.87/11.17  | | | CLOSE: (15) is inconsistent.
% 74.87/11.17  | | | 
% 74.87/11.17  | | Case 2:
% 74.87/11.17  | | | 
% 74.87/11.17  | | |   (16)  all_6_19 = e0
% 74.87/11.17  | | | 
% 74.87/11.17  | | | COMBINE_EQS: (1), (16) imply:
% 74.87/11.17  | | |   (17)  all_4_23 = e0
% 74.87/11.17  | | | 
% 74.87/11.17  | | | REDUCE: (7), (17) imply:
% 74.87/11.17  | | |   (18)  $false
% 74.87/11.17  | | | 
% 74.87/11.17  | | | CLOSE: (18) is inconsistent.
% 74.87/11.17  | | | 
% 74.87/11.17  | | End of split
% 74.87/11.17  | | 
% 74.87/11.17  | Case 2:
% 74.87/11.17  | | 
% 74.87/11.17  | |   (19)  all_6_15 = e0
% 74.87/11.17  | | 
% 74.87/11.17  | | REF_CLOSE: (4), (5), (19) are inconsistent by sub-proof #124.
% 74.87/11.17  | | 
% 74.87/11.17  | End of split
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #95 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.17    (1)   ~ (all_4_20 = e1)
% 74.87/11.17    (2)   ~ (all_4_20 = e3)
% 74.87/11.17    (3)  all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 74.87/11.17    (4)  all_6_4 = all_4_20
% 74.87/11.17    (5)   ~ (all_4_20 = e0)
% 74.87/11.17  
% 74.87/11.17  Begin of proof
% 74.87/11.17  | 
% 74.87/11.17  | BETA: splitting (3) gives:
% 74.87/11.17  | 
% 74.87/11.17  | Case 1:
% 74.87/11.17  | | 
% 74.87/11.17  | |   (6)  all_6_4 = e1
% 74.87/11.17  | | 
% 74.87/11.17  | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #148.
% 74.87/11.17  | | 
% 74.87/11.17  | Case 2:
% 74.87/11.17  | | 
% 74.87/11.17  | |   (7)  all_6_4 = e3 | all_6_4 = e0
% 74.87/11.17  | | 
% 74.87/11.17  | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #147.
% 74.87/11.17  | | 
% 74.87/11.17  | End of split
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #96 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.17    (1)  all_8_61 = e1 &  ~ (all_8_62 = e0)
% 74.87/11.17    (2)  all_8_61 = all_4_9
% 74.87/11.17    (3)   ~ (all_4_9 = e1)
% 74.87/11.17  
% 74.87/11.17  Begin of proof
% 74.87/11.17  | 
% 74.87/11.17  | ALPHA: (1) implies:
% 74.87/11.17  |   (4)  all_8_61 = e1
% 74.87/11.17  | 
% 74.87/11.17  | COMBINE_EQS: (2), (4) imply:
% 74.87/11.17  |   (5)  all_4_9 = e1
% 74.87/11.17  | 
% 74.87/11.17  | SIMP: (5) implies:
% 74.87/11.17  |   (6)  all_4_9 = e1
% 74.87/11.17  | 
% 74.87/11.17  | REDUCE: (3), (6) imply:
% 74.87/11.17  |   (7)  $false
% 74.87/11.17  | 
% 74.87/11.17  | CLOSE: (7) is inconsistent.
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #97 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.17    (1)  all_8_55 = e3 &  ~ (all_8_56 = e0)
% 74.87/11.17    (2)  all_8_55 = e2
% 74.87/11.17    (3)   ~ (e3 = e2)
% 74.87/11.17  
% 74.87/11.17  Begin of proof
% 74.87/11.17  | 
% 74.87/11.17  | ALPHA: (1) implies:
% 74.87/11.17  |   (4)  all_8_55 = e3
% 74.87/11.17  | 
% 74.87/11.17  | COMBINE_EQS: (2), (4) imply:
% 74.87/11.17  |   (5)  e3 = e2
% 74.87/11.17  | 
% 74.87/11.17  | REDUCE: (3), (5) imply:
% 74.87/11.17  |   (6)  $false
% 74.87/11.17  | 
% 74.87/11.17  | CLOSE: (6) is inconsistent.
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #98 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.17    (1)  all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3
% 74.87/11.17    (2)  all_10_20 = e4
% 74.87/11.17    (3)   ~ (all_4_2 = e3)
% 74.87/11.17    (4)   ~ (e3 = e1)
% 74.87/11.17    (5)   ~ (e4 = e3)
% 74.87/11.17    (6)  all_10_12 = e1
% 74.87/11.17    (7)  all_10_6 = all_4_2
% 74.87/11.17  
% 74.87/11.17  Begin of proof
% 74.87/11.17  | 
% 74.87/11.17  | BETA: splitting (1) gives:
% 74.87/11.17  | 
% 74.87/11.17  | Case 1:
% 74.87/11.17  | | 
% 74.87/11.17  | |   (8)  all_10_6 = e3
% 74.87/11.17  | | 
% 74.87/11.17  | | REF_CLOSE: (3), (7), (8) are inconsistent by sub-proof #100.
% 74.87/11.17  | | 
% 74.87/11.17  | Case 2:
% 74.87/11.17  | | 
% 74.87/11.17  | |   (9)  all_10_12 = e3 | all_10_20 = e3
% 74.87/11.17  | | 
% 74.87/11.17  | | REF_CLOSE: (2), (4), (5), (6), (9) are inconsistent by sub-proof #99.
% 74.87/11.17  | | 
% 74.87/11.17  | End of split
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #99 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.17    (1)  all_10_20 = e4
% 74.87/11.17    (2)   ~ (e3 = e1)
% 74.87/11.17    (3)   ~ (e4 = e3)
% 74.87/11.17    (4)  all_10_12 = e1
% 74.87/11.17    (5)  all_10_12 = e3 | all_10_20 = e3
% 74.87/11.17  
% 74.87/11.17  Begin of proof
% 74.87/11.17  | 
% 74.87/11.17  | BETA: splitting (5) gives:
% 74.87/11.17  | 
% 74.87/11.17  | Case 1:
% 74.87/11.17  | | 
% 74.87/11.17  | |   (6)  all_10_12 = e3
% 74.87/11.17  | | 
% 74.87/11.17  | | COMBINE_EQS: (4), (6) imply:
% 74.87/11.17  | |   (7)  e3 = e1
% 74.87/11.17  | | 
% 74.87/11.17  | | REDUCE: (2), (7) imply:
% 74.87/11.17  | |   (8)  $false
% 74.87/11.17  | | 
% 74.87/11.17  | | CLOSE: (8) is inconsistent.
% 74.87/11.17  | | 
% 74.87/11.17  | Case 2:
% 74.87/11.17  | | 
% 74.87/11.17  | |   (9)  all_10_20 = e3
% 74.87/11.17  | | 
% 74.87/11.17  | | COMBINE_EQS: (1), (9) imply:
% 74.87/11.17  | |   (10)  e4 = e3
% 74.87/11.17  | | 
% 74.87/11.17  | | SIMP: (10) implies:
% 74.87/11.17  | |   (11)  e4 = e3
% 74.87/11.17  | | 
% 74.87/11.17  | | REDUCE: (3), (11) imply:
% 74.87/11.17  | |   (12)  $false
% 74.87/11.17  | | 
% 74.87/11.17  | | CLOSE: (12) is inconsistent.
% 74.87/11.17  | | 
% 74.87/11.17  | End of split
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #100 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.17    (1)  all_10_6 = all_4_2
% 74.87/11.17    (2)  all_10_6 = e3
% 74.87/11.17    (3)   ~ (all_4_2 = e3)
% 74.87/11.17  
% 74.87/11.17  Begin of proof
% 74.87/11.17  | 
% 74.87/11.17  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.17  |   (4)  all_4_2 = e3
% 74.87/11.17  | 
% 74.87/11.17  | SIMP: (4) implies:
% 74.87/11.17  |   (5)  all_4_2 = e3
% 74.87/11.17  | 
% 74.87/11.17  | REDUCE: (3), (5) imply:
% 74.87/11.17  |   (6)  $false
% 74.87/11.17  | 
% 74.87/11.17  | CLOSE: (6) is inconsistent.
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #101 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.17    (1)  all_8_7 = e1 &  ~ (all_8_8 = e4)
% 74.87/11.17    (2)  all_8_7 = e3
% 74.87/11.17    (3)   ~ (e3 = e1)
% 74.87/11.17  
% 74.87/11.17  Begin of proof
% 74.87/11.17  | 
% 74.87/11.17  | ALPHA: (1) implies:
% 74.87/11.17  |   (4)  all_8_7 = e1
% 74.87/11.17  | 
% 74.87/11.17  | COMBINE_EQS: (2), (4) imply:
% 74.87/11.17  |   (5)  e3 = e1
% 74.87/11.17  | 
% 74.87/11.17  | SIMP: (5) implies:
% 74.87/11.17  |   (6)  e3 = e1
% 74.87/11.17  | 
% 74.87/11.17  | REDUCE: (3), (6) imply:
% 74.87/11.17  |   (7)  $false
% 74.87/11.17  | 
% 74.87/11.17  | CLOSE: (7) is inconsistent.
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #102 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.17    (1)  all_6_10 = all_4_2
% 74.87/11.17    (2)  all_6_10 = e3
% 74.87/11.17    (3)   ~ (all_4_2 = e3)
% 74.87/11.17  
% 74.87/11.17  Begin of proof
% 74.87/11.17  | 
% 74.87/11.17  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.17  |   (4)  all_4_2 = e3
% 74.87/11.17  | 
% 74.87/11.17  | SIMP: (4) implies:
% 74.87/11.17  |   (5)  all_4_2 = e3
% 74.87/11.17  | 
% 74.87/11.17  | REDUCE: (3), (5) imply:
% 74.87/11.17  |   (6)  $false
% 74.87/11.17  | 
% 74.87/11.17  | CLOSE: (6) is inconsistent.
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #103 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.17    (1)  all_6_10 = all_4_2
% 74.87/11.17    (2)  all_6_10 = e1
% 74.87/11.17    (3)   ~ (all_4_2 = e1)
% 74.87/11.17  
% 74.87/11.17  Begin of proof
% 74.87/11.17  | 
% 74.87/11.17  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.17  |   (4)  all_4_2 = e1
% 74.87/11.17  | 
% 74.87/11.17  | SIMP: (4) implies:
% 74.87/11.17  |   (5)  all_4_2 = e1
% 74.87/11.17  | 
% 74.87/11.17  | REDUCE: (3), (5) imply:
% 74.87/11.17  |   (6)  $false
% 74.87/11.17  | 
% 74.87/11.17  | CLOSE: (6) is inconsistent.
% 74.87/11.17  | 
% 74.87/11.17  End of proof
% 74.87/11.17  
% 74.87/11.17  Sub-proof #104 shows that the following formulas are inconsistent:
% 74.87/11.17  ----------------------------------------------------------------
% 74.87/11.18    (1)  all_10_0 = e3
% 74.87/11.18    (2)  all_10_0 = e2
% 74.87/11.18    (3)   ~ (e3 = e2)
% 74.87/11.18  
% 74.87/11.18  Begin of proof
% 74.87/11.18  | 
% 74.87/11.18  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.18  |   (4)  e3 = e2
% 74.87/11.18  | 
% 74.87/11.18  | SIMP: (4) implies:
% 74.87/11.18  |   (5)  e3 = e2
% 74.87/11.18  | 
% 74.87/11.18  | REDUCE: (3), (5) imply:
% 74.87/11.18  |   (6)  $false
% 74.87/11.18  | 
% 74.87/11.18  | CLOSE: (6) is inconsistent.
% 74.87/11.18  | 
% 74.87/11.18  End of proof
% 74.87/11.18  
% 74.87/11.18  Sub-proof #105 shows that the following formulas are inconsistent:
% 74.87/11.18  ----------------------------------------------------------------
% 74.87/11.18    (1)  all_6_10 = all_4_2
% 74.87/11.18    (2)  all_6_10 = e4
% 74.87/11.18    (3)   ~ (all_4_2 = e4)
% 74.87/11.18  
% 74.87/11.18  Begin of proof
% 74.87/11.18  | 
% 74.87/11.18  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.18  |   (4)  all_4_2 = e4
% 74.87/11.18  | 
% 74.87/11.18  | SIMP: (4) implies:
% 74.87/11.18  |   (5)  all_4_2 = e4
% 74.87/11.18  | 
% 74.87/11.18  | REDUCE: (3), (5) imply:
% 74.87/11.18  |   (6)  $false
% 74.87/11.18  | 
% 74.87/11.18  | CLOSE: (6) is inconsistent.
% 74.87/11.18  | 
% 74.87/11.18  End of proof
% 74.87/11.18  
% 74.87/11.18  Sub-proof #106 shows that the following formulas are inconsistent:
% 74.87/11.18  ----------------------------------------------------------------
% 74.87/11.18    (1)  all_6_10 = all_4_2
% 74.87/11.18    (2)  all_6_10 = e2
% 74.87/11.18    (3)   ~ (all_4_2 = e2)
% 74.87/11.18  
% 74.87/11.18  Begin of proof
% 74.87/11.18  | 
% 74.87/11.18  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.18  |   (4)  all_4_2 = e2
% 74.87/11.18  | 
% 74.87/11.18  | SIMP: (4) implies:
% 74.87/11.18  |   (5)  all_4_2 = e2
% 74.87/11.18  | 
% 74.87/11.18  | REDUCE: (3), (5) imply:
% 74.87/11.18  |   (6)  $false
% 74.87/11.18  | 
% 74.87/11.18  | CLOSE: (6) is inconsistent.
% 74.87/11.18  | 
% 74.87/11.18  End of proof
% 74.87/11.18  
% 74.87/11.18  Sub-proof #107 shows that the following formulas are inconsistent:
% 74.87/11.18  ----------------------------------------------------------------
% 74.87/11.18    (1)  all_6_15 = all_4_3
% 74.87/11.18    (2)  all_6_15 = e4
% 74.87/11.18    (3)   ~ (all_4_3 = e4)
% 74.87/11.18  
% 74.87/11.18  Begin of proof
% 74.87/11.18  | 
% 74.87/11.18  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.18  |   (4)  all_4_3 = e4
% 74.87/11.18  | 
% 74.87/11.18  | SIMP: (4) implies:
% 74.87/11.18  |   (5)  all_4_3 = e4
% 74.87/11.18  | 
% 74.87/11.18  | REDUCE: (3), (5) imply:
% 74.87/11.18  |   (6)  $false
% 74.87/11.18  | 
% 74.87/11.18  | CLOSE: (6) is inconsistent.
% 74.87/11.18  | 
% 74.87/11.18  End of proof
% 74.87/11.18  
% 74.87/11.18  Sub-proof #108 shows that the following formulas are inconsistent:
% 74.87/11.18  ----------------------------------------------------------------
% 74.87/11.18    (1)   ~ (all_4_16 = e2)
% 74.87/11.18    (2)  all_10_15 = e4
% 74.87/11.18    (3)   ~ (e2 = e0)
% 74.87/11.18    (4)  all_10_10 = all_4_16
% 74.87/11.18    (5)  all_10_9 = e2 | all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 |
% 74.87/11.18         all_10_23 = e2
% 74.87/11.18    (6)   ~ (all_4_15 = e2)
% 74.87/11.18    (7)  all_10_9 = all_4_15
% 74.87/11.18    (8)   ~ (e4 = e2)
% 74.87/11.18    (9)   ~ (all_4_17 = e2)
% 74.87/11.18    (10)  all_10_11 = all_4_17
% 74.87/11.18    (11)  all_10_23 = e0
% 74.87/11.18  
% 74.87/11.18  Begin of proof
% 74.87/11.18  | 
% 74.87/11.18  | BETA: splitting (5) gives:
% 74.87/11.18  | 
% 74.87/11.18  | Case 1:
% 74.87/11.18  | | 
% 74.87/11.18  | |   (12)  all_10_9 = e2
% 74.87/11.18  | | 
% 74.87/11.18  | | COMBINE_EQS: (7), (12) imply:
% 74.87/11.18  | |   (13)  all_4_15 = e2
% 74.87/11.18  | | 
% 74.87/11.18  | | REDUCE: (6), (13) imply:
% 74.87/11.18  | |   (14)  $false
% 74.87/11.18  | | 
% 74.87/11.18  | | CLOSE: (14) is inconsistent.
% 74.87/11.18  | | 
% 74.87/11.18  | Case 2:
% 74.87/11.18  | | 
% 74.87/11.18  | |   (15)  all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2
% 74.87/11.18  | | 
% 74.87/11.18  | | REF_CLOSE: (1), (2), (3), (4), (8), (9), (10), (11), (15) are inconsistent
% 74.87/11.18  | |            by sub-proof #116.
% 74.87/11.18  | | 
% 74.87/11.18  | End of split
% 74.87/11.18  | 
% 74.87/11.18  End of proof
% 74.87/11.18  
% 74.87/11.18  Sub-proof #109 shows that the following formulas are inconsistent:
% 74.87/11.18  ----------------------------------------------------------------
% 74.87/11.18    (1)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.87/11.18    (2)   ~ (all_4_7 = e3)
% 74.87/11.18    (3)   ~ (all_4_7 = e0)
% 74.87/11.18    (4)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0
% 74.87/11.18    (5)   ~ (all_4_5 = e3)
% 74.87/11.18    (6)   ~ (all_4_5 = e1)
% 74.87/11.18    (7)   ~ (all_4_5 = e0)
% 74.87/11.18    (8)  all_6_1 = all_4_5
% 74.87/11.18    (9)   ~ (all_4_5 = all_4_7)
% 74.87/11.18    (10)  all_6_11 = all_4_7
% 74.87/11.18    (11)   ~ (all_4_7 = e1)
% 74.87/11.18  
% 74.87/11.18  Begin of proof
% 74.87/11.18  | 
% 74.87/11.18  | BETA: splitting (1) gives:
% 74.87/11.18  | 
% 74.87/11.18  | Case 1:
% 74.87/11.18  | | 
% 74.87/11.18  | |   (12)  all_6_1 = e4
% 74.87/11.18  | | 
% 74.87/11.18  | | COMBINE_EQS: (8), (12) imply:
% 74.87/11.18  | |   (13)  all_4_5 = e4
% 74.87/11.18  | | 
% 74.87/11.18  | | SIMP: (13) implies:
% 74.87/11.18  | |   (14)  all_4_5 = e4
% 74.87/11.18  | | 
% 74.87/11.18  | | REDUCE: (9), (14) imply:
% 74.87/11.18  | |   (15)   ~ (all_4_7 = e4)
% 74.87/11.18  | | 
% 74.87/11.18  | | SIMP: (15) implies:
% 74.87/11.18  | |   (16)   ~ (all_4_7 = e4)
% 74.87/11.18  | | 
% 74.87/11.18  | | REF_CLOSE: (2), (3), (4), (10), (11), (16) are inconsistent by sub-proof
% 74.87/11.18  | |            #132.
% 74.87/11.18  | | 
% 74.87/11.18  | Case 2:
% 74.87/11.18  | | 
% 74.87/11.18  | |   (17)  all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.87/11.18  | | 
% 74.87/11.18  | | REF_CLOSE: (5), (6), (7), (8), (17) are inconsistent by sub-proof #135.
% 74.87/11.18  | | 
% 74.87/11.18  | End of split
% 74.87/11.18  | 
% 74.87/11.18  End of proof
% 74.87/11.18  
% 74.87/11.18  Sub-proof #110 shows that the following formulas are inconsistent:
% 74.87/11.18  ----------------------------------------------------------------
% 74.87/11.18    (1)  all_6_9 = all_4_21
% 74.87/11.18    (2)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 74.87/11.18    (3)   ~ (all_4_21 = e4)
% 74.87/11.18    (4)   ~ (all_4_21 = e1)
% 74.87/11.18    (5)   ~ (all_4_21 = e3)
% 74.87/11.18    (6)   ~ (all_4_21 = e0)
% 74.87/11.18  
% 74.87/11.18  Begin of proof
% 74.87/11.18  | 
% 74.87/11.18  | BETA: splitting (2) gives:
% 74.87/11.18  | 
% 74.87/11.18  | Case 1:
% 74.87/11.18  | | 
% 74.87/11.18  | |   (7)  all_6_9 = e4
% 74.87/11.18  | | 
% 74.87/11.18  | | REF_CLOSE: (1), (3), (7) are inconsistent by sub-proof #114.
% 74.87/11.18  | | 
% 74.87/11.18  | Case 2:
% 74.87/11.18  | | 
% 74.87/11.18  | |   (8)  all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 74.87/11.18  | | 
% 74.87/11.18  | | REF_CLOSE: (1), (4), (5), (6), (8) are inconsistent by sub-proof #111.
% 74.87/11.18  | | 
% 74.87/11.18  | End of split
% 74.87/11.18  | 
% 74.87/11.18  End of proof
% 74.87/11.18  
% 74.87/11.18  Sub-proof #111 shows that the following formulas are inconsistent:
% 74.87/11.18  ----------------------------------------------------------------
% 74.87/11.18    (1)  all_6_9 = all_4_21
% 74.87/11.18    (2)  all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 74.87/11.18    (3)   ~ (all_4_21 = e1)
% 74.87/11.18    (4)   ~ (all_4_21 = e3)
% 74.87/11.18    (5)   ~ (all_4_21 = e0)
% 74.87/11.18  
% 74.87/11.18  Begin of proof
% 74.87/11.18  | 
% 74.87/11.18  | BETA: splitting (2) gives:
% 74.87/11.18  | 
% 74.87/11.18  | Case 1:
% 74.87/11.18  | | 
% 74.87/11.18  | |   (6)  all_6_9 = e1
% 74.87/11.18  | | 
% 74.87/11.18  | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #113.
% 74.87/11.18  | | 
% 74.87/11.18  | Case 2:
% 74.87/11.18  | | 
% 74.87/11.18  | |   (7)  all_6_9 = e3 | all_6_9 = e0
% 74.87/11.18  | | 
% 74.87/11.18  | | BETA: splitting (7) gives:
% 74.87/11.18  | | 
% 74.87/11.18  | | Case 1:
% 74.87/11.18  | | | 
% 74.87/11.18  | | |   (8)  all_6_9 = e3
% 74.87/11.18  | | | 
% 74.87/11.18  | | | COMBINE_EQS: (1), (8) imply:
% 74.87/11.18  | | |   (9)  all_4_21 = e3
% 74.87/11.18  | | | 
% 74.87/11.18  | | | SIMP: (9) implies:
% 74.87/11.18  | | |   (10)  all_4_21 = e3
% 74.87/11.18  | | | 
% 74.87/11.18  | | | REDUCE: (4), (10) imply:
% 74.87/11.18  | | |   (11)  $false
% 74.87/11.18  | | | 
% 74.87/11.18  | | | CLOSE: (11) is inconsistent.
% 74.87/11.18  | | | 
% 74.87/11.18  | | Case 2:
% 74.87/11.18  | | | 
% 74.87/11.18  | | |   (12)  all_6_9 = e0
% 74.87/11.18  | | | 
% 74.87/11.18  | | | REF_CLOSE: (1), (5), (12) are inconsistent by sub-proof #112.
% 74.87/11.18  | | | 
% 74.87/11.18  | | End of split
% 74.87/11.18  | | 
% 74.87/11.18  | End of split
% 74.87/11.18  | 
% 74.87/11.18  End of proof
% 74.87/11.18  
% 74.87/11.18  Sub-proof #112 shows that the following formulas are inconsistent:
% 74.87/11.18  ----------------------------------------------------------------
% 74.87/11.18    (1)  all_6_9 = all_4_21
% 74.87/11.18    (2)  all_6_9 = e0
% 74.87/11.18    (3)   ~ (all_4_21 = e0)
% 74.87/11.18  
% 74.87/11.18  Begin of proof
% 74.87/11.18  | 
% 74.87/11.18  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.18  |   (4)  all_4_21 = e0
% 74.87/11.18  | 
% 74.87/11.18  | SIMP: (4) implies:
% 74.87/11.18  |   (5)  all_4_21 = e0
% 74.87/11.18  | 
% 74.87/11.18  | REDUCE: (3), (5) imply:
% 74.87/11.18  |   (6)  $false
% 74.87/11.18  | 
% 74.87/11.18  | CLOSE: (6) is inconsistent.
% 74.87/11.18  | 
% 74.87/11.18  End of proof
% 74.87/11.18  
% 74.87/11.18  Sub-proof #113 shows that the following formulas are inconsistent:
% 74.87/11.18  ----------------------------------------------------------------
% 74.87/11.18    (1)  all_6_9 = all_4_21
% 74.87/11.18    (2)  all_6_9 = e1
% 74.87/11.18    (3)   ~ (all_4_21 = e1)
% 74.87/11.18  
% 74.87/11.18  Begin of proof
% 74.87/11.18  | 
% 74.87/11.18  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.18  |   (4)  all_4_21 = e1
% 74.87/11.18  | 
% 74.87/11.18  | SIMP: (4) implies:
% 74.87/11.18  |   (5)  all_4_21 = e1
% 74.87/11.18  | 
% 74.87/11.18  | REDUCE: (3), (5) imply:
% 74.87/11.18  |   (6)  $false
% 74.87/11.18  | 
% 74.87/11.18  | CLOSE: (6) is inconsistent.
% 74.87/11.18  | 
% 74.87/11.18  End of proof
% 74.87/11.18  
% 74.87/11.18  Sub-proof #114 shows that the following formulas are inconsistent:
% 74.87/11.18  ----------------------------------------------------------------
% 74.87/11.18    (1)  all_6_9 = all_4_21
% 74.87/11.18    (2)  all_6_9 = e4
% 74.87/11.18    (3)   ~ (all_4_21 = e4)
% 74.87/11.18  
% 74.87/11.18  Begin of proof
% 74.87/11.18  | 
% 74.87/11.18  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.18  |   (4)  all_4_21 = e4
% 74.87/11.18  | 
% 74.87/11.18  | SIMP: (4) implies:
% 74.87/11.18  |   (5)  all_4_21 = e4
% 74.87/11.18  | 
% 74.87/11.18  | REDUCE: (3), (5) imply:
% 74.87/11.18  |   (6)  $false
% 74.87/11.18  | 
% 74.87/11.18  | CLOSE: (6) is inconsistent.
% 74.87/11.18  | 
% 74.87/11.18  End of proof
% 74.87/11.18  
% 74.87/11.18  Sub-proof #115 shows that the following formulas are inconsistent:
% 74.87/11.18  ----------------------------------------------------------------
% 74.87/11.18    (1)  all_10_8 = e3
% 74.87/11.18    (2)  all_10_14 = e0
% 74.87/11.18    (3)  all_10_22 = e2
% 74.87/11.18    (4)   ~ (e4 = e0)
% 74.87/11.18    (5)   ~ (e4 = e3)
% 74.87/11.18    (6)  all_10_8 = e4 | all_10_14 = e4 | all_10_22 = e4
% 74.87/11.18    (7)   ~ (e4 = e2)
% 74.87/11.18  
% 74.87/11.18  Begin of proof
% 74.87/11.18  | 
% 74.87/11.18  | BETA: splitting (6) gives:
% 74.87/11.18  | 
% 74.87/11.18  | Case 1:
% 74.87/11.18  | | 
% 74.87/11.18  | |   (8)  all_10_8 = e4
% 74.87/11.18  | | 
% 74.87/11.18  | | COMBINE_EQS: (1), (8) imply:
% 74.87/11.18  | |   (9)  e4 = e3
% 74.87/11.18  | | 
% 74.87/11.18  | | SIMP: (9) implies:
% 74.87/11.18  | |   (10)  e4 = e3
% 74.87/11.18  | | 
% 74.87/11.18  | | REDUCE: (5), (10) imply:
% 74.87/11.18  | |   (11)  $false
% 74.87/11.18  | | 
% 74.87/11.18  | | CLOSE: (11) is inconsistent.
% 74.87/11.18  | | 
% 74.87/11.18  | Case 2:
% 74.87/11.18  | | 
% 74.87/11.18  | |   (12)  all_10_14 = e4 | all_10_22 = e4
% 74.87/11.18  | | 
% 74.87/11.18  | | BETA: splitting (12) gives:
% 74.87/11.18  | | 
% 74.87/11.18  | | Case 1:
% 74.87/11.18  | | | 
% 74.87/11.18  | | |   (13)  all_10_14 = e4
% 74.87/11.18  | | | 
% 74.87/11.18  | | | COMBINE_EQS: (2), (13) imply:
% 74.87/11.18  | | |   (14)  e4 = e0
% 74.87/11.18  | | | 
% 74.87/11.18  | | | REDUCE: (4), (14) imply:
% 74.87/11.18  | | |   (15)  $false
% 74.87/11.18  | | | 
% 74.87/11.18  | | | CLOSE: (15) is inconsistent.
% 74.87/11.18  | | | 
% 74.87/11.18  | | Case 2:
% 74.87/11.18  | | | 
% 74.87/11.18  | | |   (16)  all_10_22 = e4
% 74.87/11.18  | | | 
% 74.87/11.18  | | | COMBINE_EQS: (3), (16) imply:
% 74.87/11.18  | | |   (17)  e4 = e2
% 74.87/11.18  | | | 
% 74.87/11.18  | | | SIMP: (17) implies:
% 74.87/11.18  | | |   (18)  e4 = e2
% 74.87/11.18  | | | 
% 74.87/11.18  | | | REDUCE: (7), (18) imply:
% 74.87/11.18  | | |   (19)  $false
% 74.87/11.18  | | | 
% 74.87/11.18  | | | CLOSE: (19) is inconsistent.
% 74.87/11.18  | | | 
% 74.87/11.18  | | End of split
% 74.87/11.18  | | 
% 74.87/11.18  | End of split
% 74.87/11.18  | 
% 74.87/11.18  End of proof
% 74.87/11.18  
% 74.87/11.18  Sub-proof #116 shows that the following formulas are inconsistent:
% 74.87/11.18  ----------------------------------------------------------------
% 74.87/11.18    (1)   ~ (all_4_16 = e2)
% 74.87/11.18    (2)  all_10_15 = e4
% 74.87/11.18    (3)   ~ (e2 = e0)
% 74.87/11.18    (4)  all_10_10 = all_4_16
% 74.87/11.18    (5)   ~ (e4 = e2)
% 74.87/11.18    (6)  all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2
% 74.87/11.18    (7)   ~ (all_4_17 = e2)
% 74.87/11.18    (8)  all_10_11 = all_4_17
% 74.87/11.18    (9)  all_10_23 = e0
% 74.87/11.18  
% 74.87/11.18  Begin of proof
% 74.87/11.18  | 
% 74.87/11.18  | BETA: splitting (6) gives:
% 74.87/11.18  | 
% 74.87/11.18  | Case 1:
% 74.87/11.18  | | 
% 74.87/11.18  | |   (10)  all_10_10 = e2
% 74.87/11.18  | | 
% 74.87/11.18  | | COMBINE_EQS: (4), (10) imply:
% 74.87/11.18  | |   (11)  all_4_16 = e2
% 74.87/11.18  | | 
% 74.87/11.18  | | REDUCE: (1), (11) imply:
% 74.87/11.18  | |   (12)  $false
% 74.87/11.18  | | 
% 74.87/11.18  | | CLOSE: (12) is inconsistent.
% 74.87/11.18  | | 
% 74.87/11.18  | Case 2:
% 74.87/11.18  | | 
% 74.87/11.18  | |   (13)  all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2
% 74.87/11.18  | | 
% 74.87/11.18  | | REF_CLOSE: (2), (3), (5), (7), (8), (9), (13) are inconsistent by sub-proof
% 74.87/11.18  | |            #117.
% 74.87/11.18  | | 
% 74.87/11.18  | End of split
% 74.87/11.18  | 
% 74.87/11.18  End of proof
% 74.87/11.18  
% 74.87/11.18  Sub-proof #117 shows that the following formulas are inconsistent:
% 74.87/11.18  ----------------------------------------------------------------
% 74.87/11.18    (1)  all_10_15 = e4
% 74.87/11.18    (2)   ~ (e2 = e0)
% 74.87/11.18    (3)  all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2
% 74.87/11.18    (4)   ~ (e4 = e2)
% 74.87/11.18    (5)   ~ (all_4_17 = e2)
% 74.87/11.18    (6)  all_10_11 = all_4_17
% 74.87/11.18    (7)  all_10_23 = e0
% 74.87/11.18  
% 74.87/11.18  Begin of proof
% 74.87/11.18  | 
% 74.87/11.18  | BETA: splitting (3) gives:
% 74.87/11.18  | 
% 74.87/11.18  | Case 1:
% 74.87/11.18  | | 
% 74.87/11.18  | |   (8)  all_10_11 = e2
% 74.87/11.18  | | 
% 74.87/11.18  | | COMBINE_EQS: (6), (8) imply:
% 74.87/11.18  | |   (9)  all_4_17 = e2
% 74.87/11.18  | | 
% 74.87/11.18  | | REDUCE: (5), (9) imply:
% 74.87/11.18  | |   (10)  $false
% 74.87/11.18  | | 
% 74.87/11.18  | | CLOSE: (10) is inconsistent.
% 74.87/11.18  | | 
% 74.87/11.18  | Case 2:
% 74.87/11.18  | | 
% 74.87/11.18  | |   (11)  all_10_15 = e2 | all_10_23 = e2
% 74.87/11.18  | | 
% 74.87/11.18  | | BETA: splitting (11) gives:
% 74.87/11.18  | | 
% 74.87/11.18  | | Case 1:
% 74.87/11.18  | | | 
% 74.87/11.18  | | |   (12)  all_10_15 = e2
% 74.87/11.18  | | | 
% 74.87/11.18  | | | COMBINE_EQS: (1), (12) imply:
% 74.87/11.18  | | |   (13)  e4 = e2
% 74.87/11.18  | | | 
% 74.87/11.18  | | | REDUCE: (4), (13) imply:
% 74.87/11.18  | | |   (14)  $false
% 74.87/11.18  | | | 
% 74.87/11.18  | | | CLOSE: (14) is inconsistent.
% 74.87/11.18  | | | 
% 74.87/11.18  | | Case 2:
% 74.87/11.18  | | | 
% 74.87/11.18  | | |   (15)  all_10_23 = e2
% 74.87/11.18  | | | 
% 74.87/11.18  | | | REF_CLOSE: (2), (7), (15) are inconsistent by sub-proof #118.
% 74.87/11.18  | | | 
% 74.87/11.18  | | End of split
% 74.87/11.18  | | 
% 74.87/11.18  | End of split
% 74.87/11.18  | 
% 74.87/11.18  End of proof
% 74.87/11.18  
% 74.87/11.18  Sub-proof #118 shows that the following formulas are inconsistent:
% 74.87/11.18  ----------------------------------------------------------------
% 74.87/11.18    (1)  all_10_23 = e2
% 74.87/11.18    (2)  all_10_23 = e0
% 74.87/11.18    (3)   ~ (e2 = e0)
% 74.87/11.18  
% 74.87/11.18  Begin of proof
% 74.87/11.18  | 
% 74.87/11.18  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.18  |   (4)  e2 = e0
% 74.87/11.18  | 
% 74.87/11.18  | SIMP: (4) implies:
% 74.87/11.18  |   (5)  e2 = e0
% 74.87/11.18  | 
% 74.87/11.18  | REDUCE: (3), (5) imply:
% 74.87/11.18  |   (6)  $false
% 74.87/11.18  | 
% 74.87/11.18  | CLOSE: (6) is inconsistent.
% 74.87/11.18  | 
% 74.87/11.18  End of proof
% 74.87/11.18  
% 74.87/11.18  Sub-proof #119 shows that the following formulas are inconsistent:
% 74.87/11.18  ----------------------------------------------------------------
% 74.87/11.18    (1)  all_10_2 = all_4_1
% 74.87/11.18    (2)  all_10_2 = e0
% 74.87/11.18    (3)   ~ (all_4_1 = e0)
% 74.87/11.18  
% 74.87/11.18  Begin of proof
% 74.87/11.18  | 
% 74.87/11.18  | COMBINE_EQS: (1), (2) imply:
% 74.87/11.18  |   (4)  all_4_1 = e0
% 74.87/11.18  | 
% 74.87/11.18  | SIMP: (4) implies:
% 74.87/11.18  |   (5)  all_4_1 = e0
% 74.87/11.18  | 
% 74.87/11.18  | REDUCE: (3), (5) imply:
% 74.87/11.18  |   (6)  $false
% 74.87/11.18  | 
% 74.87/11.18  | CLOSE: (6) is inconsistent.
% 74.87/11.18  | 
% 74.87/11.18  End of proof
% 74.87/11.18  
% 74.87/11.18  Sub-proof #120 shows that the following formulas are inconsistent:
% 74.87/11.18  ----------------------------------------------------------------
% 74.87/11.18    (1)  all_10_8 = e3
% 74.87/11.18    (2)  all_10_14 = e0
% 74.87/11.18    (3)   ~ (all_4_10 = e3)
% 74.87/11.18    (4)   ~ (all_4_14 = e3)
% 74.87/11.18    (5)  all_10_4 = all_4_10
% 74.87/11.18    (6)   ~ (all_4_16 = e2)
% 74.87/11.18    (7)  all_10_15 = e4
% 74.87/11.18    (8)  all_10_5 = e2
% 74.87/11.18    (9)   ~ (e3 = e1)
% 74.87/11.18    (10)   ~ (all_4_10 = all_4_14)
% 74.87/11.18    (11)   ~ (all_4_14 = e0)
% 74.87/11.18    (12)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 74.87/11.18    (13)  all_10_23 = all_4_19
% 74.87/11.18    (14)   ~ (all_4_10 = e0)
% 74.87/11.18    (15)   ~ (all_8_37 = e2)
% 74.87/11.18    (16)  op(e0, e1) = all_4_19
% 74.87/11.18    (17)   ~ (e2 = e1)
% 74.87/11.18    (18)  all_10_22 = all_4_14
% 74.87/11.19    (19)  all_10_10 = all_4_16
% 74.87/11.19    (20)   ~ (all_10_4 = e1)
% 74.87/11.19    (21)   ~ (e1 = e0)
% 74.87/11.19    (22)  op(e0, all_4_14) = all_8_37
% 74.87/11.19    (23)  all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2
% 74.87/11.19    (24)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 74.87/11.19            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 74.87/11.19    (25)   ~ (all_4_17 = e2)
% 74.87/11.19    (26)  all_6_2 = all_4_10
% 74.87/11.19    (27)  all_6_22 = all_4_14
% 74.87/11.19    (28)  all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 74.87/11.19          all_10_22 = e4
% 74.87/11.19    (29)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.87/11.19    (30)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0
% 74.87/11.19    (31)   ~ (all_4_10 = e2)
% 74.87/11.19    (32)  all_10_11 = all_4_17
% 74.87/11.19    (33)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 74.87/11.19          all_10_22 = e1
% 74.87/11.19  
% 74.87/11.19  Begin of proof
% 74.87/11.19  | 
% 74.87/11.19  | REDUCE: (5), (20) imply:
% 74.87/11.19  |   (34)   ~ (all_4_10 = e1)
% 74.87/11.19  | 
% 74.87/11.19  | BETA: splitting (29) gives:
% 74.87/11.19  | 
% 74.87/11.19  | Case 1:
% 74.87/11.19  | | 
% 74.87/11.19  | |   (35)  all_6_2 = e4
% 74.87/11.19  | | 
% 74.87/11.19  | | COMBINE_EQS: (26), (35) imply:
% 74.87/11.19  | |   (36)  all_4_10 = e4
% 74.87/11.19  | | 
% 74.87/11.19  | | SIMP: (36) implies:
% 74.87/11.19  | |   (37)  all_4_10 = e4
% 74.87/11.19  | | 
% 74.87/11.19  | | REDUCE: (10), (37) imply:
% 74.87/11.19  | |   (38)   ~ (all_4_14 = e4)
% 74.87/11.19  | | 
% 74.87/11.19  | | SIMP: (38) implies:
% 74.87/11.19  | |   (39)   ~ (all_4_14 = e4)
% 74.87/11.19  | | 
% 74.87/11.19  | | REDUCE: (34), (37) imply:
% 74.87/11.19  | |   (40)   ~ (e4 = e1)
% 74.87/11.19  | | 
% 74.87/11.19  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 74.87/11.19  | |            (13), (14), (15), (16), (17), (18), (19), (21), (22), (23), (24),
% 74.87/11.19  | |            (25), (26), (27), (28), (30), (31), (32), (33), (39), (40) are
% 74.87/11.19  | |            inconsistent by sub-proof #128.
% 74.87/11.19  | | 
% 74.87/11.19  | Case 2:
% 74.87/11.19  | | 
% 74.87/11.19  | |   (41)  all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.87/11.19  | | 
% 74.87/11.19  | | REF_CLOSE: (3), (14), (26), (34), (41) are inconsistent by sub-proof #162.
% 74.87/11.19  | | 
% 74.87/11.19  | End of split
% 74.87/11.19  | 
% 74.87/11.19  End of proof
% 74.87/11.19  
% 74.87/11.19  Sub-proof #121 shows that the following formulas are inconsistent:
% 74.87/11.19  ----------------------------------------------------------------
% 74.87/11.19    (1)  all_6_20 = all_4_4
% 75.19/11.19    (2)   ~ (all_4_9 = e0)
% 75.19/11.19    (3)   ~ (all_4_14 = e3)
% 75.19/11.19    (4)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 75.19/11.19    (5)   ~ (all_10_20 = e1)
% 75.19/11.19    (6)   ~ (all_4_14 = e0)
% 75.19/11.19    (7)   ~ (all_4_4 = all_4_9)
% 75.19/11.19    (8)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 75.19/11.19    (9)  all_6_21 = all_4_9
% 75.19/11.19    (10)  all_10_20 = all_4_4
% 75.19/11.19    (11)   ~ (all_4_9 = all_4_14)
% 75.19/11.19    (12)   ~ (all_4_4 = e0)
% 75.19/11.19    (13)   ~ (all_4_14 = e1)
% 75.19/11.19    (14)   ~ (all_4_4 = all_4_14)
% 75.19/11.19    (15)   ~ (all_4_9 = e1)
% 75.19/11.19    (16)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 75.19/11.19    (17)  all_6_22 = all_4_14
% 75.19/11.19  
% 75.19/11.19  Begin of proof
% 75.19/11.19  | 
% 75.19/11.19  | REDUCE: (5), (10) imply:
% 75.19/11.19  |   (18)   ~ (all_4_4 = e1)
% 75.19/11.19  | 
% 75.19/11.19  | BETA: splitting (8) gives:
% 75.19/11.19  | 
% 75.19/11.19  | Case 1:
% 75.19/11.19  | | 
% 75.19/11.19  | |   (19)  all_6_22 = e4
% 75.19/11.19  | | 
% 75.19/11.19  | | COMBINE_EQS: (17), (19) imply:
% 75.19/11.19  | |   (20)  all_4_14 = e4
% 75.19/11.19  | | 
% 75.19/11.19  | | SIMP: (20) implies:
% 75.19/11.19  | |   (21)  all_4_14 = e4
% 75.19/11.19  | | 
% 75.19/11.19  | | REDUCE: (14), (21) imply:
% 75.19/11.19  | |   (22)   ~ (all_4_4 = e4)
% 75.19/11.19  | | 
% 75.19/11.19  | | REDUCE: (11), (21) imply:
% 75.19/11.19  | |   (23)   ~ (all_4_9 = e4)
% 75.19/11.19  | | 
% 75.19/11.19  | | BETA: splitting (16) gives:
% 75.19/11.19  | | 
% 75.19/11.19  | | Case 1:
% 75.19/11.19  | | | 
% 75.19/11.19  | | |   (24)  all_6_21 = e4
% 75.19/11.19  | | | 
% 75.19/11.19  | | | COMBINE_EQS: (9), (24) imply:
% 75.19/11.19  | | |   (25)  all_4_9 = e4
% 75.19/11.19  | | | 
% 75.19/11.19  | | | REDUCE: (23), (25) imply:
% 75.19/11.19  | | |   (26)  $false
% 75.19/11.19  | | | 
% 75.19/11.19  | | | CLOSE: (26) is inconsistent.
% 75.19/11.19  | | | 
% 75.19/11.19  | | Case 2:
% 75.19/11.19  | | | 
% 75.19/11.19  | | |   (27)  all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 75.19/11.19  | | | 
% 75.19/11.19  | | | BETA: splitting (27) gives:
% 75.19/11.19  | | | 
% 75.19/11.19  | | | Case 1:
% 75.19/11.19  | | | | 
% 75.19/11.19  | | | |   (28)  all_6_21 = e1
% 75.19/11.19  | | | | 
% 75.19/11.19  | | | | COMBINE_EQS: (9), (28) imply:
% 75.19/11.19  | | | |   (29)  all_4_9 = e1
% 75.19/11.19  | | | | 
% 75.19/11.19  | | | | REDUCE: (15), (29) imply:
% 75.19/11.19  | | | |   (30)  $false
% 75.19/11.19  | | | | 
% 75.19/11.19  | | | | CLOSE: (30) is inconsistent.
% 75.19/11.19  | | | | 
% 75.19/11.19  | | | Case 2:
% 75.19/11.19  | | | | 
% 75.19/11.19  | | | |   (31)  all_6_21 = e3 | all_6_21 = e0
% 75.19/11.19  | | | | 
% 75.19/11.19  | | | | BETA: splitting (4) gives:
% 75.19/11.19  | | | | 
% 75.19/11.19  | | | | Case 1:
% 75.19/11.19  | | | | | 
% 75.19/11.19  | | | | |   (32)  all_6_20 = e4
% 75.19/11.19  | | | | | 
% 75.19/11.19  | | | | | COMBINE_EQS: (1), (32) imply:
% 75.19/11.19  | | | | |   (33)  all_4_4 = e4
% 75.19/11.19  | | | | | 
% 75.19/11.19  | | | | | REDUCE: (22), (33) imply:
% 75.19/11.19  | | | | |   (34)  $false
% 75.19/11.19  | | | | | 
% 75.19/11.19  | | | | | CLOSE: (34) is inconsistent.
% 75.19/11.19  | | | | | 
% 75.19/11.19  | | | | Case 2:
% 75.19/11.19  | | | | | 
% 75.19/11.19  | | | | |   (35)  all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 75.19/11.19  | | | | | 
% 75.19/11.19  | | | | | BETA: splitting (35) gives:
% 75.19/11.19  | | | | | 
% 75.19/11.19  | | | | | Case 1:
% 75.19/11.19  | | | | | | 
% 75.19/11.19  | | | | | |   (36)  all_6_20 = e1
% 75.19/11.19  | | | | | | 
% 75.19/11.19  | | | | | | COMBINE_EQS: (1), (36) imply:
% 75.19/11.19  | | | | | |   (37)  all_4_4 = e1
% 75.19/11.19  | | | | | | 
% 75.19/11.19  | | | | | | REDUCE: (18), (37) imply:
% 75.19/11.19  | | | | | |   (38)  $false
% 75.19/11.19  | | | | | | 
% 75.19/11.19  | | | | | | CLOSE: (38) is inconsistent.
% 75.19/11.19  | | | | | | 
% 75.19/11.19  | | | | | Case 2:
% 75.19/11.19  | | | | | | 
% 75.19/11.19  | | | | | |   (39)  all_6_20 = e3 | all_6_20 = e0
% 75.19/11.19  | | | | | | 
% 75.19/11.19  | | | | | | BETA: splitting (31) gives:
% 75.19/11.19  | | | | | | 
% 75.19/11.19  | | | | | | Case 1:
% 75.19/11.19  | | | | | | | 
% 75.19/11.19  | | | | | | |   (40)  all_6_21 = e3
% 75.19/11.19  | | | | | | | 
% 75.19/11.19  | | | | | | | COMBINE_EQS: (9), (40) imply:
% 75.19/11.19  | | | | | | |   (41)  all_4_9 = e3
% 75.19/11.19  | | | | | | | 
% 75.19/11.19  | | | | | | | SIMP: (41) implies:
% 75.19/11.19  | | | | | | |   (42)  all_4_9 = e3
% 75.19/11.19  | | | | | | | 
% 75.19/11.19  | | | | | | | REDUCE: (7), (42) imply:
% 75.19/11.19  | | | | | | |   (43)   ~ (all_4_4 = e3)
% 75.19/11.19  | | | | | | | 
% 75.19/11.19  | | | | | | | REF_CLOSE: (1), (12), (39), (43) are inconsistent by sub-proof
% 75.19/11.19  | | | | | | |            #122.
% 75.19/11.19  | | | | | | | 
% 75.19/11.19  | | | | | | Case 2:
% 75.19/11.19  | | | | | | | 
% 75.19/11.19  | | | | | | |   (44)  all_6_21 = e0
% 75.19/11.19  | | | | | | | 
% 75.19/11.19  | | | | | | | REF_CLOSE: (2), (9), (44) are inconsistent by sub-proof #127.
% 75.19/11.19  | | | | | | | 
% 75.19/11.19  | | | | | | End of split
% 75.19/11.19  | | | | | | 
% 75.19/11.19  | | | | | End of split
% 75.19/11.19  | | | | | 
% 75.19/11.19  | | | | End of split
% 75.19/11.19  | | | | 
% 75.19/11.19  | | | End of split
% 75.19/11.19  | | | 
% 75.19/11.19  | | End of split
% 75.19/11.19  | | 
% 75.19/11.19  | Case 2:
% 75.19/11.19  | | 
% 75.19/11.19  | |   (45)  all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 75.19/11.19  | | 
% 75.19/11.19  | | REF_CLOSE: (3), (6), (13), (17), (45) are inconsistent by sub-proof #130.
% 75.19/11.19  | | 
% 75.19/11.19  | End of split
% 75.19/11.19  | 
% 75.19/11.19  End of proof
% 75.19/11.19  
% 75.19/11.19  Sub-proof #122 shows that the following formulas are inconsistent:
% 75.19/11.19  ----------------------------------------------------------------
% 75.19/11.19    (1)  all_6_20 = e3 | all_6_20 = e0
% 75.19/11.19    (2)  all_6_20 = all_4_4
% 75.19/11.19    (3)   ~ (all_4_4 = e3)
% 75.19/11.19    (4)   ~ (all_4_4 = e0)
% 75.19/11.19  
% 75.19/11.19  Begin of proof
% 75.19/11.19  | 
% 75.19/11.19  | BETA: splitting (1) gives:
% 75.19/11.19  | 
% 75.19/11.19  | Case 1:
% 75.19/11.19  | | 
% 75.19/11.19  | |   (5)  all_6_20 = e3
% 75.19/11.19  | | 
% 75.19/11.19  | | COMBINE_EQS: (2), (5) imply:
% 75.19/11.19  | |   (6)  all_4_4 = e3
% 75.19/11.19  | | 
% 75.19/11.19  | | REDUCE: (3), (6) imply:
% 75.19/11.19  | |   (7)  $false
% 75.19/11.19  | | 
% 75.19/11.19  | | CLOSE: (7) is inconsistent.
% 75.19/11.19  | | 
% 75.19/11.19  | Case 2:
% 75.19/11.19  | | 
% 75.19/11.19  | |   (8)  all_6_20 = e0
% 75.19/11.19  | | 
% 75.19/11.19  | | COMBINE_EQS: (2), (8) imply:
% 75.19/11.19  | |   (9)  all_4_4 = e0
% 75.19/11.19  | | 
% 75.19/11.19  | | REDUCE: (4), (9) imply:
% 75.19/11.19  | |   (10)  $false
% 75.19/11.19  | | 
% 75.19/11.19  | | CLOSE: (10) is inconsistent.
% 75.19/11.19  | | 
% 75.19/11.19  | End of split
% 75.19/11.19  | 
% 75.19/11.19  End of proof
% 75.19/11.19  
% 75.19/11.19  Sub-proof #123 shows that the following formulas are inconsistent:
% 75.19/11.19  ----------------------------------------------------------------
% 75.19/11.19    (1)   ~ (all_4_3 = e4)
% 75.19/11.19    (2)  all_10_12 = all_4_3
% 75.19/11.19    (3)   ~ (all_4_3 = e0)
% 75.19/11.19    (4)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e1 | all_6_15 = e0
% 75.19/11.19    (5)  all_6_15 = all_4_3
% 75.19/11.19    (6)   ~ (all_10_12 = e3)
% 75.19/11.19    (7)   ~ (all_4_3 = e1)
% 75.19/11.19  
% 75.19/11.19  Begin of proof
% 75.19/11.19  | 
% 75.19/11.19  | REDUCE: (2), (6) imply:
% 75.19/11.19  |   (8)   ~ (all_4_3 = e3)
% 75.19/11.19  | 
% 75.19/11.19  | BETA: splitting (4) gives:
% 75.19/11.19  | 
% 75.19/11.19  | Case 1:
% 75.19/11.19  | | 
% 75.19/11.19  | |   (9)  all_6_15 = e4
% 75.19/11.19  | | 
% 75.19/11.19  | | COMBINE_EQS: (5), (9) imply:
% 75.19/11.19  | |   (10)  all_4_3 = e4
% 75.19/11.19  | | 
% 75.19/11.19  | | REDUCE: (1), (10) imply:
% 75.19/11.19  | |   (11)  $false
% 75.19/11.19  | | 
% 75.19/11.19  | | CLOSE: (11) is inconsistent.
% 75.19/11.19  | | 
% 75.19/11.19  | Case 2:
% 75.19/11.19  | | 
% 75.19/11.19  | |   (12)  all_6_15 = e3 | all_6_15 = e1 | all_6_15 = e0
% 75.19/11.19  | | 
% 75.19/11.19  | | BETA: splitting (12) gives:
% 75.19/11.19  | | 
% 75.19/11.19  | | Case 1:
% 75.19/11.19  | | | 
% 75.19/11.19  | | |   (13)  all_6_15 = e1
% 75.19/11.19  | | | 
% 75.19/11.19  | | | COMBINE_EQS: (5), (13) imply:
% 75.19/11.19  | | |   (14)  all_4_3 = e1
% 75.19/11.19  | | | 
% 75.19/11.19  | | | REDUCE: (7), (14) imply:
% 75.19/11.19  | | |   (15)  $false
% 75.19/11.19  | | | 
% 75.19/11.19  | | | CLOSE: (15) is inconsistent.
% 75.19/11.19  | | | 
% 75.19/11.19  | | Case 2:
% 75.19/11.19  | | | 
% 75.19/11.19  | | |   (16)  all_6_15 = e3 | all_6_15 = e0
% 75.19/11.19  | | | 
% 75.19/11.19  | | | BETA: splitting (16) gives:
% 75.19/11.19  | | | 
% 75.19/11.19  | | | Case 1:
% 75.19/11.19  | | | | 
% 75.19/11.19  | | | |   (17)  all_6_15 = e3
% 75.19/11.19  | | | | 
% 75.19/11.19  | | | | COMBINE_EQS: (5), (17) imply:
% 75.19/11.19  | | | |   (18)  all_4_3 = e3
% 75.19/11.19  | | | | 
% 75.19/11.19  | | | | SIMP: (18) implies:
% 75.19/11.19  | | | |   (19)  all_4_3 = e3
% 75.19/11.19  | | | | 
% 75.19/11.19  | | | | REDUCE: (8), (19) imply:
% 75.19/11.19  | | | |   (20)  $false
% 75.19/11.19  | | | | 
% 75.19/11.19  | | | | CLOSE: (20) is inconsistent.
% 75.19/11.19  | | | | 
% 75.19/11.19  | | | Case 2:
% 75.19/11.19  | | | | 
% 75.19/11.19  | | | |   (21)  all_6_15 = e0
% 75.19/11.19  | | | | 
% 75.19/11.19  | | | | REF_CLOSE: (3), (5), (21) are inconsistent by sub-proof #124.
% 75.19/11.19  | | | | 
% 75.19/11.19  | | | End of split
% 75.19/11.19  | | | 
% 75.19/11.19  | | End of split
% 75.19/11.19  | | 
% 75.19/11.19  | End of split
% 75.19/11.19  | 
% 75.19/11.19  End of proof
% 75.19/11.19  
% 75.19/11.19  Sub-proof #124 shows that the following formulas are inconsistent:
% 75.19/11.19  ----------------------------------------------------------------
% 75.19/11.19    (1)  all_6_15 = all_4_3
% 75.19/11.19    (2)  all_6_15 = e0
% 75.19/11.19    (3)   ~ (all_4_3 = e0)
% 75.19/11.19  
% 75.19/11.19  Begin of proof
% 75.19/11.19  | 
% 75.19/11.19  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.19  |   (4)  all_4_3 = e0
% 75.19/11.19  | 
% 75.19/11.19  | SIMP: (4) implies:
% 75.19/11.19  |   (5)  all_4_3 = e0
% 75.19/11.19  | 
% 75.19/11.19  | REDUCE: (3), (5) imply:
% 75.19/11.19  |   (6)  $false
% 75.19/11.19  | 
% 75.19/11.19  | CLOSE: (6) is inconsistent.
% 75.19/11.19  | 
% 75.19/11.19  End of proof
% 75.19/11.19  
% 75.19/11.19  Sub-proof #125 shows that the following formulas are inconsistent:
% 75.19/11.19  ----------------------------------------------------------------
% 75.19/11.19    (1)  all_10_8 = e3
% 75.19/11.19    (2)  all_10_14 = e0
% 75.19/11.19    (3)   ~ (all_4_9 = e0)
% 75.19/11.19    (4)   ~ (all_4_10 = e3)
% 75.19/11.19    (5)   ~ (all_4_14 = e3)
% 75.19/11.19    (6)  all_10_4 = all_4_10
% 75.19/11.19    (7)   ~ (all_4_16 = e2)
% 75.19/11.19    (8)  all_10_15 = e4
% 75.19/11.19    (9)  all_10_5 = e2
% 75.19/11.19    (10)   ~ (e3 = e1)
% 75.19/11.19    (11)   ~ (all_4_10 = all_4_14)
% 75.19/11.19    (12)   ~ (all_4_14 = e0)
% 75.19/11.19    (13)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 75.19/11.19    (14)  all_10_23 = all_4_19
% 75.19/11.19    (15)   ~ (all_4_10 = e0)
% 75.19/11.19    (16)   ~ (all_8_37 = e2)
% 75.19/11.19    (17)   ~ (all_4_9 = e3)
% 75.19/11.19    (18)  all_6_21 = all_4_9
% 75.19/11.19    (19)  op(e0, e1) = all_4_19
% 75.19/11.19    (20)   ~ (e2 = e1)
% 75.19/11.19    (21)   ~ (all_4_9 = all_4_14)
% 75.19/11.19    (22)  all_10_22 = all_4_14
% 75.19/11.19    (23)  all_10_10 = all_4_16
% 75.19/11.19    (24)  all_10_9 = e2 | all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 |
% 75.19/11.19          all_10_23 = e2
% 75.19/11.19    (25)   ~ (all_4_15 = e2)
% 75.19/11.19    (26)  all_10_9 = all_4_15
% 75.19/11.19    (27)   ~ (all_4_9 = e1)
% 75.19/11.19    (28)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 75.19/11.19    (29)   ~ (e1 = e0)
% 75.19/11.19    (30)  op(e0, all_4_14) = all_8_37
% 75.19/11.19    (31)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 75.19/11.19            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 75.19/11.19    (32)   ~ (all_4_17 = e2)
% 75.19/11.19    (33)  all_6_2 = all_4_10
% 75.19/11.19    (34)  all_6_22 = all_4_14
% 75.19/11.19    (35)  all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 75.19/11.19          all_10_22 = e4
% 75.19/11.19    (36)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0
% 75.19/11.19    (37)   ~ (all_4_10 = e2)
% 75.19/11.19    (38)  all_10_11 = all_4_17
% 75.19/11.19    (39)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 75.19/11.19          all_10_22 = e1
% 75.19/11.19  
% 75.19/11.19  Begin of proof
% 75.19/11.19  | 
% 75.19/11.19  | BETA: splitting (28) gives:
% 75.19/11.19  | 
% 75.19/11.19  | Case 1:
% 75.19/11.19  | | 
% 75.19/11.19  | |   (40)  all_6_21 = e4
% 75.19/11.19  | | 
% 75.19/11.19  | | COMBINE_EQS: (18), (40) imply:
% 75.19/11.19  | |   (41)  all_4_9 = e4
% 75.19/11.19  | | 
% 75.19/11.19  | | SIMP: (41) implies:
% 75.19/11.19  | |   (42)  all_4_9 = e4
% 75.19/11.19  | | 
% 75.19/11.19  | | REDUCE: (21), (42) imply:
% 75.19/11.19  | |   (43)   ~ (all_4_14 = e4)
% 75.19/11.19  | | 
% 75.19/11.19  | | SIMP: (43) implies:
% 75.19/11.19  | |   (44)   ~ (all_4_14 = e4)
% 75.19/11.19  | | 
% 75.19/11.19  | | REDUCE: (27), (42) imply:
% 75.19/11.19  | |   (45)   ~ (e4 = e1)
% 75.19/11.19  | | 
% 75.19/11.19  | | BETA: splitting (24) gives:
% 75.19/11.20  | | 
% 75.19/11.20  | | Case 1:
% 75.19/11.20  | | | 
% 75.19/11.20  | | |   (46)  all_10_9 = e2
% 75.19/11.20  | | | 
% 75.19/11.20  | | | COMBINE_EQS: (26), (46) imply:
% 75.19/11.20  | | |   (47)  all_4_15 = e2
% 75.19/11.20  | | | 
% 75.19/11.20  | | | REDUCE: (25), (47) imply:
% 75.19/11.20  | | |   (48)  $false
% 75.19/11.20  | | | 
% 75.19/11.20  | | | CLOSE: (48) is inconsistent.
% 75.19/11.20  | | | 
% 75.19/11.20  | | Case 2:
% 75.19/11.20  | | | 
% 75.19/11.20  | | |   (49)  all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2
% 75.19/11.20  | | | 
% 75.19/11.20  | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 75.19/11.20  | | |            (14), (15), (16), (19), (20), (22), (23), (29), (30), (31),
% 75.19/11.20  | | |            (32), (33), (34), (35), (36), (37), (38), (39), (44), (45),
% 75.19/11.20  | | |            (49) are inconsistent by sub-proof #128.
% 75.19/11.20  | | | 
% 75.19/11.20  | | End of split
% 75.19/11.20  | | 
% 75.19/11.20  | Case 2:
% 75.19/11.20  | | 
% 75.19/11.20  | |   (50)  all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 75.19/11.20  | | 
% 75.19/11.20  | | REF_CLOSE: (3), (17), (18), (27), (50) are inconsistent by sub-proof #126.
% 75.19/11.20  | | 
% 75.19/11.20  | End of split
% 75.19/11.20  | 
% 75.19/11.20  End of proof
% 75.19/11.20  
% 75.19/11.20  Sub-proof #126 shows that the following formulas are inconsistent:
% 75.19/11.20  ----------------------------------------------------------------
% 75.19/11.20    (1)   ~ (all_4_9 = e0)
% 75.19/11.20    (2)   ~ (all_4_9 = e3)
% 75.19/11.20    (3)  all_6_21 = all_4_9
% 75.19/11.20    (4)  all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 75.19/11.20    (5)   ~ (all_4_9 = e1)
% 75.19/11.20  
% 75.19/11.20  Begin of proof
% 75.19/11.20  | 
% 75.19/11.20  | BETA: splitting (4) gives:
% 75.19/11.20  | 
% 75.19/11.20  | Case 1:
% 75.19/11.20  | | 
% 75.19/11.20  | |   (6)  all_6_21 = e1
% 75.19/11.20  | | 
% 75.19/11.20  | | COMBINE_EQS: (3), (6) imply:
% 75.19/11.20  | |   (7)  all_4_9 = e1
% 75.19/11.20  | | 
% 75.19/11.20  | | SIMP: (7) implies:
% 75.19/11.20  | |   (8)  all_4_9 = e1
% 75.19/11.20  | | 
% 75.19/11.20  | | REDUCE: (5), (8) imply:
% 75.19/11.20  | |   (9)  $false
% 75.19/11.20  | | 
% 75.19/11.20  | | CLOSE: (9) is inconsistent.
% 75.19/11.20  | | 
% 75.19/11.20  | Case 2:
% 75.19/11.20  | | 
% 75.19/11.20  | |   (10)  all_6_21 = e3 | all_6_21 = e0
% 75.19/11.20  | | 
% 75.19/11.20  | | BETA: splitting (10) gives:
% 75.19/11.20  | | 
% 75.19/11.20  | | Case 1:
% 75.19/11.20  | | | 
% 75.19/11.20  | | |   (11)  all_6_21 = e3
% 75.19/11.20  | | | 
% 75.19/11.20  | | | COMBINE_EQS: (3), (11) imply:
% 75.19/11.20  | | |   (12)  all_4_9 = e3
% 75.19/11.20  | | | 
% 75.19/11.20  | | | SIMP: (12) implies:
% 75.19/11.20  | | |   (13)  all_4_9 = e3
% 75.19/11.20  | | | 
% 75.19/11.20  | | | REDUCE: (2), (13) imply:
% 75.19/11.20  | | |   (14)  $false
% 75.19/11.20  | | | 
% 75.19/11.20  | | | CLOSE: (14) is inconsistent.
% 75.19/11.20  | | | 
% 75.19/11.20  | | Case 2:
% 75.19/11.20  | | | 
% 75.19/11.20  | | |   (15)  all_6_21 = e0
% 75.19/11.20  | | | 
% 75.19/11.20  | | | REF_CLOSE: (1), (3), (15) are inconsistent by sub-proof #127.
% 75.19/11.20  | | | 
% 75.19/11.20  | | End of split
% 75.19/11.20  | | 
% 75.19/11.20  | End of split
% 75.19/11.20  | 
% 75.19/11.20  End of proof
% 75.19/11.20  
% 75.19/11.20  Sub-proof #127 shows that the following formulas are inconsistent:
% 75.19/11.20  ----------------------------------------------------------------
% 75.19/11.20    (1)  all_6_21 = all_4_9
% 75.19/11.20    (2)  all_6_21 = e0
% 75.19/11.20    (3)   ~ (all_4_9 = e0)
% 75.19/11.20  
% 75.19/11.20  Begin of proof
% 75.19/11.20  | 
% 75.19/11.20  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.20  |   (4)  all_4_9 = e0
% 75.19/11.20  | 
% 75.19/11.20  | SIMP: (4) implies:
% 75.19/11.20  |   (5)  all_4_9 = e0
% 75.19/11.20  | 
% 75.19/11.20  | REDUCE: (3), (5) imply:
% 75.19/11.20  |   (6)  $false
% 75.19/11.20  | 
% 75.19/11.20  | CLOSE: (6) is inconsistent.
% 75.19/11.20  | 
% 75.19/11.20  End of proof
% 75.19/11.20  
% 75.19/11.20  Sub-proof #128 shows that the following formulas are inconsistent:
% 75.19/11.20  ----------------------------------------------------------------
% 75.19/11.20    (1)  all_10_8 = e3
% 75.19/11.20    (2)  all_10_14 = e0
% 75.19/11.20    (3)   ~ (all_4_10 = e3)
% 75.19/11.20    (4)   ~ (all_4_14 = e3)
% 75.19/11.20    (5)  all_10_4 = all_4_10
% 75.19/11.20    (6)   ~ (all_4_16 = e2)
% 75.19/11.20    (7)  all_10_15 = e4
% 75.19/11.20    (8)  all_10_5 = e2
% 75.19/11.20    (9)   ~ (e3 = e1)
% 75.19/11.20    (10)   ~ (all_4_10 = all_4_14)
% 75.19/11.20    (11)   ~ (all_4_14 = e0)
% 75.19/11.20    (12)   ~ (all_4_14 = e4)
% 75.19/11.20    (13)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 75.19/11.20    (14)  all_10_23 = all_4_19
% 75.19/11.20    (15)   ~ (all_4_10 = e0)
% 75.19/11.20    (16)   ~ (all_8_37 = e2)
% 75.19/11.20    (17)  op(e0, e1) = all_4_19
% 75.19/11.20    (18)   ~ (e2 = e1)
% 75.19/11.20    (19)  all_10_22 = all_4_14
% 75.19/11.20    (20)  all_10_10 = all_4_16
% 75.19/11.20    (21)   ~ (e1 = e0)
% 75.19/11.20    (22)  op(e0, all_4_14) = all_8_37
% 75.19/11.20    (23)  all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2
% 75.19/11.20    (24)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 75.19/11.20            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 75.19/11.20    (25)   ~ (all_4_17 = e2)
% 75.19/11.20    (26)  all_6_2 = all_4_10
% 75.19/11.20    (27)  all_6_22 = all_4_14
% 75.19/11.20    (28)   ~ (e4 = e1)
% 75.19/11.20    (29)  all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 75.19/11.20          all_10_22 = e4
% 75.19/11.20    (30)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0
% 75.19/11.20    (31)   ~ (all_4_10 = e2)
% 75.19/11.20    (32)  all_10_11 = all_4_17
% 75.19/11.20    (33)  all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 75.19/11.20          all_10_22 = e1
% 75.19/11.20  
% 75.19/11.20  Begin of proof
% 75.19/11.20  | 
% 75.19/11.20  | BETA: splitting (23) gives:
% 75.19/11.20  | 
% 75.19/11.20  | Case 1:
% 75.19/11.20  | | 
% 75.19/11.20  | |   (34)  all_10_10 = e2
% 75.19/11.20  | | 
% 75.19/11.20  | | COMBINE_EQS: (20), (34) imply:
% 75.19/11.20  | |   (35)  all_4_16 = e2
% 75.19/11.20  | | 
% 75.19/11.20  | | REDUCE: (6), (35) imply:
% 75.19/11.20  | |   (36)  $false
% 75.19/11.20  | | 
% 75.19/11.20  | | CLOSE: (36) is inconsistent.
% 75.19/11.20  | | 
% 75.19/11.20  | Case 2:
% 75.19/11.20  | | 
% 75.19/11.20  | |   (37)  all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2
% 75.19/11.20  | | 
% 75.19/11.20  | | BETA: splitting (37) gives:
% 75.19/11.20  | | 
% 75.19/11.20  | | Case 1:
% 75.19/11.20  | | | 
% 75.19/11.20  | | |   (38)  all_10_11 = e2
% 75.19/11.20  | | | 
% 75.19/11.20  | | | COMBINE_EQS: (32), (38) imply:
% 75.19/11.20  | | |   (39)  all_4_17 = e2
% 75.19/11.20  | | | 
% 75.19/11.20  | | | REDUCE: (25), (39) imply:
% 75.19/11.20  | | |   (40)  $false
% 75.19/11.20  | | | 
% 75.19/11.20  | | | CLOSE: (40) is inconsistent.
% 75.19/11.20  | | | 
% 75.19/11.20  | | Case 2:
% 75.19/11.20  | | | 
% 75.19/11.20  | | |   (41)  all_10_15 = e2 | all_10_23 = e2
% 75.19/11.20  | | | 
% 75.19/11.20  | | | BETA: splitting (13) gives:
% 75.19/11.20  | | | 
% 75.19/11.20  | | | Case 1:
% 75.19/11.20  | | | | 
% 75.19/11.20  | | | |   (42)  all_6_22 = e4
% 75.19/11.20  | | | | 
% 75.19/11.20  | | | | COMBINE_EQS: (27), (42) imply:
% 75.19/11.20  | | | |   (43)  all_4_14 = e4
% 75.19/11.20  | | | | 
% 75.19/11.20  | | | | REDUCE: (12), (43) imply:
% 75.19/11.20  | | | |   (44)  $false
% 75.19/11.20  | | | | 
% 75.19/11.20  | | | | CLOSE: (44) is inconsistent.
% 75.19/11.20  | | | | 
% 75.19/11.20  | | | Case 2:
% 75.19/11.20  | | | | 
% 75.19/11.20  | | | |   (45)  all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 75.19/11.20  | | | | 
% 75.19/11.20  | | | | BETA: splitting (29) gives:
% 75.19/11.20  | | | | 
% 75.19/11.20  | | | | Case 1:
% 75.19/11.20  | | | | | 
% 75.19/11.20  | | | | |   (46)  all_10_4 = e4
% 75.19/11.20  | | | | | 
% 75.19/11.20  | | | | | COMBINE_EQS: (5), (46) imply:
% 75.19/11.20  | | | | |   (47)  all_4_10 = e4
% 75.19/11.20  | | | | | 
% 75.19/11.20  | | | | | REDUCE: (31), (47) imply:
% 75.19/11.20  | | | | |   (48)   ~ (e4 = e2)
% 75.19/11.20  | | | | | 
% 75.19/11.20  | | | | | BETA: splitting (33) gives:
% 75.19/11.20  | | | | | 
% 75.19/11.20  | | | | | Case 1:
% 75.19/11.20  | | | | | | 
% 75.19/11.20  | | | | | |   (49)  all_10_4 = e1
% 75.19/11.20  | | | | | | 
% 75.19/11.20  | | | | | | COMBINE_EQS: (46), (49) imply:
% 75.19/11.20  | | | | | |   (50)  e4 = e1
% 75.19/11.20  | | | | | | 
% 75.19/11.20  | | | | | | REDUCE: (28), (50) imply:
% 75.19/11.20  | | | | | |   (51)  $false
% 75.19/11.20  | | | | | | 
% 75.19/11.20  | | | | | | CLOSE: (51) is inconsistent.
% 75.19/11.20  | | | | | | 
% 75.19/11.20  | | | | | Case 2:
% 75.19/11.20  | | | | | | 
% 75.19/11.20  | | | | | |   (52)  all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 | all_10_22 =
% 75.19/11.20  | | | | | |         e1
% 75.19/11.20  | | | | | | 
% 75.19/11.20  | | | | | | BETA: splitting (52) gives:
% 75.19/11.20  | | | | | | 
% 75.19/11.20  | | | | | | Case 1:
% 75.19/11.20  | | | | | | | 
% 75.19/11.20  | | | | | | |   (53)  all_10_5 = e1
% 75.19/11.20  | | | | | | | 
% 75.19/11.20  | | | | | | | COMBINE_EQS: (8), (53) imply:
% 75.19/11.20  | | | | | | |   (54)  e2 = e1
% 75.19/11.20  | | | | | | | 
% 75.19/11.20  | | | | | | | REDUCE: (18), (54) imply:
% 75.19/11.20  | | | | | | |   (55)  $false
% 75.19/11.20  | | | | | | | 
% 75.19/11.20  | | | | | | | CLOSE: (55) is inconsistent.
% 75.19/11.20  | | | | | | | 
% 75.19/11.20  | | | | | | Case 2:
% 75.19/11.20  | | | | | | | 
% 75.19/11.20  | | | | | | |   (56)  all_10_8 = e1 | all_10_14 = e1 | all_10_22 = e1
% 75.19/11.20  | | | | | | | 
% 75.19/11.20  | | | | | | | BETA: splitting (56) gives:
% 75.19/11.20  | | | | | | | 
% 75.19/11.20  | | | | | | | Case 1:
% 75.19/11.20  | | | | | | | | 
% 75.19/11.20  | | | | | | | |   (57)  all_10_8 = e1
% 75.19/11.20  | | | | | | | | 
% 75.19/11.20  | | | | | | | | COMBINE_EQS: (1), (57) imply:
% 75.19/11.20  | | | | | | | |   (58)  e3 = e1
% 75.19/11.20  | | | | | | | | 
% 75.19/11.20  | | | | | | | | REDUCE: (9), (58) imply:
% 75.19/11.20  | | | | | | | |   (59)  $false
% 75.19/11.20  | | | | | | | | 
% 75.19/11.20  | | | | | | | | CLOSE: (59) is inconsistent.
% 75.19/11.20  | | | | | | | | 
% 75.19/11.20  | | | | | | | Case 2:
% 75.19/11.20  | | | | | | | | 
% 75.19/11.20  | | | | | | | |   (60)  all_10_14 = e1 | all_10_22 = e1
% 75.19/11.20  | | | | | | | | 
% 75.19/11.20  | | | | | | | | BETA: splitting (41) gives:
% 75.19/11.20  | | | | | | | | 
% 75.19/11.20  | | | | | | | | Case 1:
% 75.19/11.20  | | | | | | | | | 
% 75.19/11.20  | | | | | | | | |   (61)  all_10_15 = e2
% 75.19/11.20  | | | | | | | | | 
% 75.19/11.20  | | | | | | | | | COMBINE_EQS: (7), (61) imply:
% 75.19/11.20  | | | | | | | | |   (62)  e4 = e2
% 75.19/11.20  | | | | | | | | | 
% 75.19/11.20  | | | | | | | | | REDUCE: (48), (62) imply:
% 75.19/11.20  | | | | | | | | |   (63)  $false
% 75.19/11.20  | | | | | | | | | 
% 75.19/11.20  | | | | | | | | | CLOSE: (63) is inconsistent.
% 75.19/11.20  | | | | | | | | | 
% 75.19/11.20  | | | | | | | | Case 2:
% 75.19/11.20  | | | | | | | | | 
% 75.19/11.20  | | | | | | | | |   (64)  all_10_23 = e2
% 75.19/11.20  | | | | | | | | | 
% 75.19/11.20  | | | | | | | | | COMBINE_EQS: (14), (64) imply:
% 75.19/11.20  | | | | | | | | |   (65)  all_4_19 = e2
% 75.19/11.20  | | | | | | | | | 
% 75.19/11.20  | | | | | | | | | REDUCE: (17), (65) imply:
% 75.19/11.20  | | | | | | | | |   (66)  op(e0, e1) = e2
% 75.19/11.20  | | | | | | | | | 
% 75.19/11.20  | | | | | | | | | BETA: splitting (60) gives:
% 75.19/11.20  | | | | | | | | | 
% 75.19/11.20  | | | | | | | | | Case 1:
% 75.19/11.20  | | | | | | | | | | 
% 75.19/11.20  | | | | | | | | | |   (67)  all_10_14 = e1
% 75.19/11.20  | | | | | | | | | | 
% 75.19/11.20  | | | | | | | | | | COMBINE_EQS: (2), (67) imply:
% 75.19/11.20  | | | | | | | | | |   (68)  e1 = e0
% 75.19/11.20  | | | | | | | | | | 
% 75.19/11.20  | | | | | | | | | | REDUCE: (21), (68) imply:
% 75.19/11.20  | | | | | | | | | |   (69)  $false
% 75.19/11.20  | | | | | | | | | | 
% 75.19/11.20  | | | | | | | | | | CLOSE: (69) is inconsistent.
% 75.19/11.20  | | | | | | | | | | 
% 75.19/11.20  | | | | | | | | | Case 2:
% 75.19/11.20  | | | | | | | | | | 
% 75.19/11.20  | | | | | | | | | |   (70)  all_10_22 = e1
% 75.19/11.20  | | | | | | | | | | 
% 75.19/11.20  | | | | | | | | | | COMBINE_EQS: (19), (70) imply:
% 75.19/11.20  | | | | | | | | | |   (71)  all_4_14 = e1
% 75.19/11.20  | | | | | | | | | | 
% 75.19/11.20  | | | | | | | | | | REDUCE: (22), (71) imply:
% 75.19/11.20  | | | | | | | | | |   (72)  op(e0, e1) = all_8_37
% 75.19/11.20  | | | | | | | | | | 
% 75.19/11.20  | | | | | | | | | | GROUND_INST: instantiating (24) with e2, all_8_37, e1, e0,
% 75.19/11.20  | | | | | | | | | |              simplifying with (66), (72) gives:
% 75.19/11.20  | | | | | | | | | |   (73)  all_8_37 = e2
% 75.19/11.20  | | | | | | | | | | 
% 75.19/11.20  | | | | | | | | | | REDUCE: (16), (73) imply:
% 75.19/11.20  | | | | | | | | | |   (74)  $false
% 75.19/11.20  | | | | | | | | | | 
% 75.19/11.20  | | | | | | | | | | CLOSE: (74) is inconsistent.
% 75.19/11.20  | | | | | | | | | | 
% 75.19/11.20  | | | | | | | | | End of split
% 75.19/11.20  | | | | | | | | | 
% 75.19/11.20  | | | | | | | | End of split
% 75.19/11.20  | | | | | | | | 
% 75.19/11.20  | | | | | | | End of split
% 75.19/11.20  | | | | | | | 
% 75.19/11.20  | | | | | | End of split
% 75.19/11.20  | | | | | | 
% 75.19/11.20  | | | | | End of split
% 75.19/11.20  | | | | | 
% 75.19/11.20  | | | | Case 2:
% 75.19/11.20  | | | | | 
% 75.19/11.20  | | | | |   (75)   ~ (all_10_4 = e4)
% 75.19/11.20  | | | | | 
% 75.19/11.20  | | | | | REDUCE: (5), (75) imply:
% 75.19/11.20  | | | | |   (76)   ~ (all_4_10 = e4)
% 75.19/11.20  | | | | | 
% 75.19/11.20  | | | | | REF_CLOSE: (3), (4), (10), (11), (15), (26), (27), (30), (31), (45),
% 75.19/11.20  | | | | |            (76) are inconsistent by sub-proof #129.
% 75.19/11.20  | | | | | 
% 75.19/11.20  | | | | End of split
% 75.19/11.20  | | | | 
% 75.19/11.20  | | | End of split
% 75.19/11.20  | | | 
% 75.19/11.20  | | End of split
% 75.19/11.20  | | 
% 75.19/11.20  | End of split
% 75.19/11.20  | 
% 75.19/11.20  End of proof
% 75.19/11.20  
% 75.19/11.20  Sub-proof #129 shows that the following formulas are inconsistent:
% 75.19/11.20  ----------------------------------------------------------------
% 75.19/11.20    (1)   ~ (all_4_10 = e3)
% 75.19/11.20    (2)  all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 75.19/11.20    (3)   ~ (all_4_14 = e3)
% 75.19/11.20    (4)   ~ (all_4_10 = all_4_14)
% 75.19/11.20    (5)   ~ (all_4_14 = e0)
% 75.19/11.20    (6)   ~ (all_4_10 = e0)
% 75.19/11.20    (7)   ~ (all_4_10 = e4)
% 75.19/11.20    (8)  all_6_2 = all_4_10
% 75.19/11.20    (9)  all_6_22 = all_4_14
% 75.19/11.20    (10)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0
% 75.19/11.20    (11)   ~ (all_4_10 = e2)
% 75.19/11.20  
% 75.19/11.20  Begin of proof
% 75.19/11.20  | 
% 75.19/11.20  | BETA: splitting (10) gives:
% 75.19/11.20  | 
% 75.19/11.20  | Case 1:
% 75.19/11.20  | | 
% 75.19/11.20  | |   (12)  all_6_2 = e2
% 75.19/11.20  | | 
% 75.19/11.20  | | REF_CLOSE: (8), (11), (12) are inconsistent by sub-proof #168.
% 75.19/11.20  | | 
% 75.19/11.20  | Case 2:
% 75.19/11.20  | | 
% 75.19/11.20  | |   (13)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 75.19/11.20  | | 
% 75.19/11.20  | | BETA: splitting (2) gives:
% 75.19/11.20  | | 
% 75.19/11.20  | | Case 1:
% 75.19/11.20  | | | 
% 75.19/11.20  | | |   (14)  all_6_22 = e1
% 75.19/11.20  | | | 
% 75.19/11.20  | | | COMBINE_EQS: (9), (14) imply:
% 75.19/11.20  | | |   (15)  all_4_14 = e1
% 75.19/11.20  | | | 
% 75.19/11.20  | | | REDUCE: (4), (15) imply:
% 75.19/11.20  | | |   (16)   ~ (all_4_10 = e1)
% 75.19/11.20  | | | 
% 75.19/11.20  | | | REF_CLOSE: (1), (6), (7), (8), (13), (16) are inconsistent by sub-proof
% 75.19/11.20  | | |            #161.
% 75.19/11.20  | | | 
% 75.19/11.20  | | Case 2:
% 75.19/11.20  | | | 
% 75.19/11.20  | | |   (17)  all_6_22 = e3 | all_6_22 = e0
% 75.19/11.20  | | | 
% 75.19/11.20  | | | REF_CLOSE: (3), (5), (9), (17) are inconsistent by sub-proof #131.
% 75.19/11.20  | | | 
% 75.19/11.20  | | End of split
% 75.19/11.20  | | 
% 75.19/11.20  | End of split
% 75.19/11.20  | 
% 75.19/11.20  End of proof
% 75.19/11.20  
% 75.19/11.20  Sub-proof #130 shows that the following formulas are inconsistent:
% 75.19/11.20  ----------------------------------------------------------------
% 75.19/11.20    (1)  all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 75.19/11.20    (2)   ~ (all_4_14 = e3)
% 75.19/11.20    (3)   ~ (all_4_14 = e0)
% 75.19/11.20    (4)   ~ (all_4_14 = e1)
% 75.19/11.20    (5)  all_6_22 = all_4_14
% 75.19/11.20  
% 75.19/11.20  Begin of proof
% 75.19/11.20  | 
% 75.19/11.20  | BETA: splitting (1) gives:
% 75.19/11.20  | 
% 75.19/11.20  | Case 1:
% 75.19/11.20  | | 
% 75.19/11.20  | |   (6)  all_6_22 = e1
% 75.19/11.20  | | 
% 75.19/11.20  | | COMBINE_EQS: (5), (6) imply:
% 75.19/11.20  | |   (7)  all_4_14 = e1
% 75.19/11.20  | | 
% 75.19/11.20  | | SIMP: (7) implies:
% 75.19/11.20  | |   (8)  all_4_14 = e1
% 75.19/11.20  | | 
% 75.19/11.20  | | REDUCE: (4), (8) imply:
% 75.19/11.20  | |   (9)  $false
% 75.19/11.20  | | 
% 75.19/11.20  | | CLOSE: (9) is inconsistent.
% 75.19/11.20  | | 
% 75.19/11.20  | Case 2:
% 75.19/11.20  | | 
% 75.19/11.20  | |   (10)  all_6_22 = e3 | all_6_22 = e0
% 75.19/11.20  | | 
% 75.19/11.20  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #131.
% 75.19/11.20  | | 
% 75.19/11.20  | End of split
% 75.19/11.20  | 
% 75.19/11.20  End of proof
% 75.19/11.20  
% 75.19/11.20  Sub-proof #131 shows that the following formulas are inconsistent:
% 75.19/11.20  ----------------------------------------------------------------
% 75.19/11.20    (1)  all_6_22 = e3 | all_6_22 = e0
% 75.19/11.20    (2)  all_6_22 = all_4_14
% 75.19/11.20    (3)   ~ (all_4_14 = e3)
% 75.19/11.20    (4)   ~ (all_4_14 = e0)
% 75.19/11.20  
% 75.19/11.20  Begin of proof
% 75.19/11.20  | 
% 75.19/11.20  | BETA: splitting (1) gives:
% 75.19/11.20  | 
% 75.19/11.20  | Case 1:
% 75.19/11.20  | | 
% 75.19/11.20  | |   (5)  all_6_22 = e3
% 75.19/11.20  | | 
% 75.19/11.20  | | COMBINE_EQS: (2), (5) imply:
% 75.19/11.20  | |   (6)  all_4_14 = e3
% 75.19/11.20  | | 
% 75.19/11.20  | | SIMP: (6) implies:
% 75.19/11.20  | |   (7)  all_4_14 = e3
% 75.19/11.20  | | 
% 75.19/11.20  | | REDUCE: (3), (7) imply:
% 75.19/11.20  | |   (8)  $false
% 75.19/11.20  | | 
% 75.19/11.20  | | CLOSE: (8) is inconsistent.
% 75.19/11.20  | | 
% 75.19/11.20  | Case 2:
% 75.19/11.20  | | 
% 75.19/11.20  | |   (9)  all_6_22 = e0
% 75.19/11.20  | | 
% 75.19/11.20  | | COMBINE_EQS: (2), (9) imply:
% 75.19/11.20  | |   (10)  all_4_14 = e0
% 75.19/11.20  | | 
% 75.19/11.20  | | SIMP: (10) implies:
% 75.19/11.20  | |   (11)  all_4_14 = e0
% 75.19/11.20  | | 
% 75.19/11.20  | | REDUCE: (4), (11) imply:
% 75.19/11.20  | |   (12)  $false
% 75.19/11.20  | | 
% 75.19/11.20  | | CLOSE: (12) is inconsistent.
% 75.19/11.20  | | 
% 75.19/11.20  | End of split
% 75.19/11.20  | 
% 75.19/11.20  End of proof
% 75.19/11.20  
% 75.19/11.20  Sub-proof #132 shows that the following formulas are inconsistent:
% 75.19/11.20  ----------------------------------------------------------------
% 75.19/11.20    (1)   ~ (all_4_7 = e4)
% 75.19/11.20    (2)   ~ (all_4_7 = e3)
% 75.19/11.20    (3)   ~ (all_4_7 = e0)
% 75.19/11.20    (4)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0
% 75.19/11.20    (5)  all_6_11 = all_4_7
% 75.19/11.20    (6)   ~ (all_4_7 = e1)
% 75.19/11.20  
% 75.19/11.20  Begin of proof
% 75.19/11.20  | 
% 75.19/11.20  | BETA: splitting (4) gives:
% 75.19/11.20  | 
% 75.19/11.20  | Case 1:
% 75.19/11.20  | | 
% 75.19/11.20  | |   (7)  all_6_11 = e4
% 75.19/11.20  | | 
% 75.19/11.20  | | COMBINE_EQS: (5), (7) imply:
% 75.19/11.20  | |   (8)  all_4_7 = e4
% 75.19/11.20  | | 
% 75.19/11.20  | | SIMP: (8) implies:
% 75.19/11.20  | |   (9)  all_4_7 = e4
% 75.19/11.20  | | 
% 75.19/11.20  | | REDUCE: (1), (9) imply:
% 75.19/11.20  | |   (10)  $false
% 75.19/11.20  | | 
% 75.19/11.20  | | CLOSE: (10) is inconsistent.
% 75.19/11.20  | | 
% 75.19/11.20  | Case 2:
% 75.19/11.20  | | 
% 75.19/11.20  | |   (11)  all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0
% 75.19/11.20  | | 
% 75.19/11.20  | | REF_CLOSE: (2), (3), (5), (6), (11) are inconsistent by sub-proof #133.
% 75.19/11.20  | | 
% 75.19/11.20  | End of split
% 75.19/11.20  | 
% 75.19/11.20  End of proof
% 75.19/11.20  
% 75.19/11.20  Sub-proof #133 shows that the following formulas are inconsistent:
% 75.19/11.20  ----------------------------------------------------------------
% 75.19/11.21    (1)   ~ (all_4_7 = e3)
% 75.19/11.21    (2)   ~ (all_4_7 = e0)
% 75.19/11.21    (3)  all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0
% 75.19/11.21    (4)  all_6_11 = all_4_7
% 75.19/11.21    (5)   ~ (all_4_7 = e1)
% 75.19/11.21  
% 75.19/11.21  Begin of proof
% 75.19/11.21  | 
% 75.19/11.21  | BETA: splitting (3) gives:
% 75.19/11.21  | 
% 75.19/11.21  | Case 1:
% 75.19/11.21  | | 
% 75.19/11.21  | |   (6)  all_6_11 = e1
% 75.19/11.21  | | 
% 75.19/11.21  | | COMBINE_EQS: (4), (6) imply:
% 75.19/11.21  | |   (7)  all_4_7 = e1
% 75.19/11.21  | | 
% 75.19/11.21  | | SIMP: (7) implies:
% 75.19/11.21  | |   (8)  all_4_7 = e1
% 75.19/11.21  | | 
% 75.19/11.21  | | REDUCE: (5), (8) imply:
% 75.19/11.21  | |   (9)  $false
% 75.19/11.21  | | 
% 75.19/11.21  | | CLOSE: (9) is inconsistent.
% 75.19/11.21  | | 
% 75.19/11.21  | Case 2:
% 75.19/11.21  | | 
% 75.19/11.21  | |   (10)  all_6_11 = e3 | all_6_11 = e0
% 75.19/11.21  | | 
% 75.19/11.21  | | BETA: splitting (10) gives:
% 75.19/11.21  | | 
% 75.19/11.21  | | Case 1:
% 75.19/11.21  | | | 
% 75.19/11.21  | | |   (11)  all_6_11 = e3
% 75.19/11.21  | | | 
% 75.19/11.21  | | | COMBINE_EQS: (4), (11) imply:
% 75.19/11.21  | | |   (12)  all_4_7 = e3
% 75.19/11.21  | | | 
% 75.19/11.21  | | | SIMP: (12) implies:
% 75.19/11.21  | | |   (13)  all_4_7 = e3
% 75.19/11.21  | | | 
% 75.19/11.21  | | | REDUCE: (1), (13) imply:
% 75.19/11.21  | | |   (14)  $false
% 75.19/11.21  | | | 
% 75.19/11.21  | | | CLOSE: (14) is inconsistent.
% 75.19/11.21  | | | 
% 75.19/11.21  | | Case 2:
% 75.19/11.21  | | | 
% 75.19/11.21  | | |   (15)  all_6_11 = e0
% 75.19/11.21  | | | 
% 75.19/11.21  | | | COMBINE_EQS: (4), (15) imply:
% 75.19/11.21  | | |   (16)  all_4_7 = e0
% 75.19/11.21  | | | 
% 75.19/11.21  | | | SIMP: (16) implies:
% 75.19/11.21  | | |   (17)  all_4_7 = e0
% 75.19/11.21  | | | 
% 75.19/11.21  | | | REDUCE: (2), (17) imply:
% 75.19/11.21  | | |   (18)  $false
% 75.19/11.21  | | | 
% 75.19/11.21  | | | CLOSE: (18) is inconsistent.
% 75.19/11.21  | | | 
% 75.19/11.21  | | End of split
% 75.19/11.21  | | 
% 75.19/11.21  | End of split
% 75.19/11.21  | 
% 75.19/11.21  End of proof
% 75.19/11.21  
% 75.19/11.21  Sub-proof #134 shows that the following formulas are inconsistent:
% 75.19/11.21  ----------------------------------------------------------------
% 75.19/11.21    (1)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 75.19/11.21    (2)   ~ (all_4_5 = e3)
% 75.19/11.21    (3)   ~ (all_4_5 = e1)
% 75.19/11.21    (4)   ~ (all_4_5 = e0)
% 75.19/11.21    (5)   ~ (all_4_5 = e4)
% 75.19/11.21    (6)  all_6_1 = all_4_5
% 75.19/11.21  
% 75.19/11.21  Begin of proof
% 75.19/11.21  | 
% 75.19/11.21  | BETA: splitting (1) gives:
% 75.19/11.21  | 
% 75.19/11.21  | Case 1:
% 75.19/11.21  | | 
% 75.19/11.21  | |   (7)  all_6_1 = e4
% 75.19/11.21  | | 
% 75.19/11.21  | | REF_CLOSE: (5), (6), (7) are inconsistent by sub-proof #138.
% 75.19/11.21  | | 
% 75.19/11.21  | Case 2:
% 75.19/11.21  | | 
% 75.19/11.21  | |   (8)  all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 75.19/11.21  | | 
% 75.19/11.21  | | REF_CLOSE: (2), (3), (4), (6), (8) are inconsistent by sub-proof #135.
% 75.19/11.21  | | 
% 75.19/11.21  | End of split
% 75.19/11.21  | 
% 75.19/11.21  End of proof
% 75.19/11.21  
% 75.19/11.21  Sub-proof #135 shows that the following formulas are inconsistent:
% 75.19/11.21  ----------------------------------------------------------------
% 75.19/11.21    (1)   ~ (all_4_5 = e3)
% 75.19/11.21    (2)   ~ (all_4_5 = e1)
% 75.19/11.21    (3)  all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 75.19/11.21    (4)   ~ (all_4_5 = e0)
% 75.19/11.21    (5)  all_6_1 = all_4_5
% 75.19/11.21  
% 75.19/11.21  Begin of proof
% 75.19/11.21  | 
% 75.19/11.21  | BETA: splitting (3) gives:
% 75.19/11.21  | 
% 75.19/11.21  | Case 1:
% 75.19/11.21  | | 
% 75.19/11.21  | |   (6)  all_6_1 = e1
% 75.19/11.21  | | 
% 75.19/11.21  | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #137.
% 75.19/11.21  | | 
% 75.19/11.21  | Case 2:
% 75.19/11.21  | | 
% 75.19/11.21  | |   (7)  all_6_1 = e3 | all_6_1 = e0
% 75.19/11.21  | | 
% 75.19/11.21  | | REF_CLOSE: (1), (4), (5), (7) are inconsistent by sub-proof #136.
% 75.19/11.21  | | 
% 75.19/11.21  | End of split
% 75.19/11.21  | 
% 75.19/11.21  End of proof
% 75.19/11.21  
% 75.19/11.21  Sub-proof #136 shows that the following formulas are inconsistent:
% 75.19/11.21  ----------------------------------------------------------------
% 75.19/11.21    (1)  all_6_1 = e3 | all_6_1 = e0
% 75.19/11.21    (2)  all_6_1 = all_4_5
% 75.19/11.21    (3)   ~ (all_4_5 = e3)
% 75.19/11.21    (4)   ~ (all_4_5 = e0)
% 75.19/11.21  
% 75.19/11.21  Begin of proof
% 75.19/11.21  | 
% 75.19/11.21  | BETA: splitting (1) gives:
% 75.19/11.21  | 
% 75.19/11.21  | Case 1:
% 75.19/11.21  | | 
% 75.19/11.21  | |   (5)  all_6_1 = e3
% 75.19/11.21  | | 
% 75.19/11.21  | | COMBINE_EQS: (2), (5) imply:
% 75.19/11.21  | |   (6)  all_4_5 = e3
% 75.19/11.21  | | 
% 75.19/11.21  | | SIMP: (6) implies:
% 75.19/11.21  | |   (7)  all_4_5 = e3
% 75.19/11.21  | | 
% 75.19/11.21  | | REDUCE: (3), (7) imply:
% 75.19/11.21  | |   (8)  $false
% 75.19/11.21  | | 
% 75.19/11.21  | | CLOSE: (8) is inconsistent.
% 75.19/11.21  | | 
% 75.19/11.21  | Case 2:
% 75.19/11.21  | | 
% 75.19/11.21  | |   (9)  all_6_1 = e0
% 75.19/11.21  | | 
% 75.19/11.21  | | COMBINE_EQS: (2), (9) imply:
% 75.19/11.21  | |   (10)  all_4_5 = e0
% 75.19/11.21  | | 
% 75.19/11.21  | | SIMP: (10) implies:
% 75.19/11.21  | |   (11)  all_4_5 = e0
% 75.19/11.21  | | 
% 75.19/11.21  | | REDUCE: (4), (11) imply:
% 75.19/11.21  | |   (12)  $false
% 75.19/11.21  | | 
% 75.19/11.21  | | CLOSE: (12) is inconsistent.
% 75.19/11.21  | | 
% 75.19/11.21  | End of split
% 75.19/11.21  | 
% 75.19/11.21  End of proof
% 75.19/11.21  
% 75.19/11.21  Sub-proof #137 shows that the following formulas are inconsistent:
% 75.19/11.21  ----------------------------------------------------------------
% 75.19/11.21    (1)  all_6_1 = all_4_5
% 75.19/11.21    (2)  all_6_1 = e1
% 75.19/11.21    (3)   ~ (all_4_5 = e1)
% 75.19/11.21  
% 75.19/11.21  Begin of proof
% 75.19/11.21  | 
% 75.19/11.21  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.21  |   (4)  all_4_5 = e1
% 75.19/11.21  | 
% 75.19/11.21  | SIMP: (4) implies:
% 75.19/11.21  |   (5)  all_4_5 = e1
% 75.19/11.21  | 
% 75.19/11.21  | REDUCE: (3), (5) imply:
% 75.19/11.21  |   (6)  $false
% 75.19/11.21  | 
% 75.19/11.21  | CLOSE: (6) is inconsistent.
% 75.19/11.21  | 
% 75.19/11.21  End of proof
% 75.19/11.21  
% 75.19/11.21  Sub-proof #138 shows that the following formulas are inconsistent:
% 75.19/11.21  ----------------------------------------------------------------
% 75.19/11.21    (1)  all_6_1 = all_4_5
% 75.19/11.21    (2)  all_6_1 = e4
% 75.19/11.21    (3)   ~ (all_4_5 = e4)
% 75.19/11.21  
% 75.19/11.21  Begin of proof
% 75.19/11.21  | 
% 75.19/11.21  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.21  |   (4)  all_4_5 = e4
% 75.19/11.21  | 
% 75.19/11.21  | SIMP: (4) implies:
% 75.19/11.21  |   (5)  all_4_5 = e4
% 75.19/11.21  | 
% 75.19/11.21  | REDUCE: (3), (5) imply:
% 75.19/11.21  |   (6)  $false
% 75.19/11.21  | 
% 75.19/11.21  | CLOSE: (6) is inconsistent.
% 75.19/11.21  | 
% 75.19/11.21  End of proof
% 75.19/11.21  
% 75.19/11.21  Sub-proof #139 shows that the following formulas are inconsistent:
% 75.19/11.21  ----------------------------------------------------------------
% 75.19/11.21    (1)   ~ (all_4_1 = e0)
% 75.19/11.21    (2)   ~ (all_4_20 = e1)
% 75.19/11.21    (3)   ~ (all_4_15 = all_4_20)
% 75.19/11.21    (4)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 75.19/11.21    (5)   ~ (e3 = e2)
% 75.19/11.21    (6)  all_10_1 = all_4_5
% 75.19/11.21    (7)  all_10_16 = e4 | all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 |
% 75.19/11.21         all_10_24 = e4
% 75.19/11.21    (8)  all_10_1 = e0
% 75.19/11.21    (9)   ~ (all_4_1 = e3)
% 75.19/11.21    (10)  all_10_16 = all_4_20
% 75.19/11.21    (11)   ~ (all_4_5 = all_4_15)
% 75.19/11.21    (12)  op(e4, e4) = e2
% 75.19/11.21    (13)   ~ (all_4_5 = all_4_20)
% 75.19/11.21    (14)  all_6_5 = all_4_1
% 75.19/11.21    (15)  all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 75.19/11.21          all_10_23 = e3
% 75.19/11.21    (16)   ~ (all_4_1 = e1)
% 75.19/11.21    (17)  all_6_3 = all_4_15
% 75.19/11.21    (18)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 75.19/11.21    (19)  op(e4, all_4_20) = all_8_53
% 75.19/11.21    (20)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 75.19/11.21    (21)  all_10_9 = all_4_15
% 75.19/11.21    (22)  all_6_4 = all_4_20
% 75.19/11.21    (23)  op(e4, all_4_1) = e3
% 75.19/11.21    (24)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 75.19/11.21            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 75.19/11.21    (25)   ~ (all_4_15 = e1)
% 75.19/11.21    (26)   ~ (all_4_15 = e4)
% 75.19/11.21  
% 75.19/11.21  Begin of proof
% 75.19/11.21  | 
% 75.19/11.21  | COMBINE_EQS: (6), (8) imply:
% 75.19/11.21  |   (27)  all_4_5 = e0
% 75.19/11.21  | 
% 75.19/11.21  | REDUCE: (11), (27) imply:
% 75.19/11.21  |   (28)   ~ (all_4_15 = e0)
% 75.19/11.21  | 
% 75.19/11.21  | SIMP: (28) implies:
% 75.19/11.21  |   (29)   ~ (all_4_15 = e0)
% 75.19/11.21  | 
% 75.19/11.21  | REDUCE: (13), (27) imply:
% 75.19/11.21  |   (30)   ~ (all_4_20 = e0)
% 75.19/11.21  | 
% 75.19/11.21  | SIMP: (30) implies:
% 75.19/11.21  |   (31)   ~ (all_4_20 = e0)
% 75.19/11.21  | 
% 75.19/11.21  | BETA: splitting (4) gives:
% 75.19/11.21  | 
% 75.19/11.21  | Case 1:
% 75.19/11.21  | | 
% 75.19/11.21  | |   (32)  all_6_5 = e4
% 75.19/11.21  | | 
% 75.19/11.21  | | COMBINE_EQS: (14), (32) imply:
% 75.19/11.21  | |   (33)  all_4_1 = e4
% 75.19/11.21  | | 
% 75.19/11.21  | | SIMP: (33) implies:
% 75.19/11.21  | |   (34)  all_4_1 = e4
% 75.19/11.21  | | 
% 75.19/11.21  | | REDUCE: (23), (34) imply:
% 75.19/11.21  | |   (35)  op(e4, e4) = e3
% 75.19/11.21  | | 
% 75.19/11.21  | | BETA: splitting (7) gives:
% 75.19/11.21  | | 
% 75.19/11.21  | | Case 1:
% 75.19/11.21  | | | 
% 75.19/11.21  | | |   (36)  all_10_16 = e4
% 75.19/11.21  | | | 
% 75.19/11.21  | | | COMBINE_EQS: (10), (36) imply:
% 75.19/11.21  | | |   (37)  all_4_20 = e4
% 75.19/11.21  | | | 
% 75.19/11.21  | | | REDUCE: (19), (37) imply:
% 75.19/11.21  | | |   (38)  op(e4, e4) = all_8_53
% 75.19/11.21  | | | 
% 75.19/11.21  | | | GROUND_INST: instantiating (24) with e2, all_8_53, e4, e4, simplifying
% 75.19/11.21  | | |              with (12), (38) gives:
% 75.19/11.21  | | |   (39)  all_8_53 = e2
% 75.19/11.21  | | | 
% 75.19/11.21  | | | GROUND_INST: instantiating (24) with e3, all_8_53, e4, e4, simplifying
% 75.19/11.21  | | |              with (35), (38) gives:
% 75.19/11.21  | | |   (40)  all_8_53 = e3
% 75.19/11.21  | | | 
% 75.19/11.21  | | | COMBINE_EQS: (39), (40) imply:
% 75.19/11.21  | | |   (41)  e3 = e2
% 75.19/11.21  | | | 
% 75.19/11.21  | | | SIMP: (41) implies:
% 75.19/11.21  | | |   (42)  e3 = e2
% 75.19/11.21  | | | 
% 75.19/11.21  | | | REDUCE: (5), (42) imply:
% 75.19/11.21  | | |   (43)  $false
% 75.19/11.21  | | | 
% 75.19/11.21  | | | CLOSE: (43) is inconsistent.
% 75.19/11.21  | | | 
% 75.19/11.21  | | Case 2:
% 75.19/11.21  | | | 
% 75.19/11.21  | | |   (44)   ~ (all_10_16 = e4)
% 75.19/11.21  | | | 
% 75.19/11.21  | | | REDUCE: (10), (44) imply:
% 75.19/11.21  | | |   (45)   ~ (all_4_20 = e4)
% 75.19/11.21  | | | 
% 75.19/11.21  | | | REF_CLOSE: (2), (3), (15), (17), (18), (20), (21), (22), (25), (26), (29),
% 75.19/11.21  | | |            (31), (45) are inconsistent by sub-proof #143.
% 75.19/11.21  | | | 
% 75.19/11.21  | | End of split
% 75.19/11.21  | | 
% 75.19/11.21  | Case 2:
% 75.19/11.21  | | 
% 75.19/11.21  | |   (46)  all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 75.19/11.21  | | 
% 75.19/11.21  | | REF_CLOSE: (1), (9), (14), (16), (46) are inconsistent by sub-proof #140.
% 75.19/11.21  | | 
% 75.19/11.21  | End of split
% 75.19/11.21  | 
% 75.19/11.21  End of proof
% 75.19/11.21  
% 75.19/11.21  Sub-proof #140 shows that the following formulas are inconsistent:
% 75.19/11.21  ----------------------------------------------------------------
% 75.19/11.21    (1)   ~ (all_4_1 = e0)
% 75.19/11.21    (2)   ~ (all_4_1 = e3)
% 75.19/11.21    (3)  all_6_5 = all_4_1
% 75.19/11.21    (4)   ~ (all_4_1 = e1)
% 75.19/11.21    (5)  all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 75.19/11.21  
% 75.19/11.21  Begin of proof
% 75.19/11.21  | 
% 75.19/11.21  | BETA: splitting (5) gives:
% 75.19/11.21  | 
% 75.19/11.21  | Case 1:
% 75.19/11.21  | | 
% 75.19/11.21  | |   (6)  all_6_5 = e1
% 75.19/11.21  | | 
% 75.19/11.21  | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #142.
% 75.19/11.21  | | 
% 75.19/11.21  | Case 2:
% 75.19/11.21  | | 
% 75.19/11.21  | |   (7)  all_6_5 = e3 | all_6_5 = e0
% 75.19/11.21  | | 
% 75.19/11.21  | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #141.
% 75.19/11.21  | | 
% 75.19/11.21  | End of split
% 75.19/11.21  | 
% 75.19/11.21  End of proof
% 75.19/11.21  
% 75.19/11.21  Sub-proof #141 shows that the following formulas are inconsistent:
% 75.19/11.21  ----------------------------------------------------------------
% 75.19/11.21    (1)  all_6_5 = e3 | all_6_5 = e0
% 75.19/11.21    (2)  all_6_5 = all_4_1
% 75.19/11.21    (3)   ~ (all_4_1 = e3)
% 75.19/11.21    (4)   ~ (all_4_1 = e0)
% 75.19/11.21  
% 75.19/11.21  Begin of proof
% 75.19/11.21  | 
% 75.19/11.21  | BETA: splitting (1) gives:
% 75.19/11.21  | 
% 75.19/11.21  | Case 1:
% 75.19/11.21  | | 
% 75.19/11.21  | |   (5)  all_6_5 = e3
% 75.19/11.21  | | 
% 75.19/11.21  | | COMBINE_EQS: (2), (5) imply:
% 75.19/11.21  | |   (6)  all_4_1 = e3
% 75.19/11.21  | | 
% 75.19/11.21  | | SIMP: (6) implies:
% 75.19/11.21  | |   (7)  all_4_1 = e3
% 75.19/11.21  | | 
% 75.19/11.21  | | REDUCE: (3), (7) imply:
% 75.19/11.21  | |   (8)  $false
% 75.19/11.21  | | 
% 75.19/11.21  | | CLOSE: (8) is inconsistent.
% 75.19/11.21  | | 
% 75.19/11.21  | Case 2:
% 75.19/11.21  | | 
% 75.19/11.21  | |   (9)  all_6_5 = e0
% 75.19/11.21  | | 
% 75.19/11.21  | | COMBINE_EQS: (2), (9) imply:
% 75.19/11.21  | |   (10)  all_4_1 = e0
% 75.19/11.21  | | 
% 75.19/11.21  | | SIMP: (10) implies:
% 75.19/11.21  | |   (11)  all_4_1 = e0
% 75.19/11.21  | | 
% 75.19/11.21  | | REDUCE: (4), (11) imply:
% 75.19/11.21  | |   (12)  $false
% 75.19/11.21  | | 
% 75.19/11.21  | | CLOSE: (12) is inconsistent.
% 75.19/11.21  | | 
% 75.19/11.21  | End of split
% 75.19/11.21  | 
% 75.19/11.21  End of proof
% 75.19/11.21  
% 75.19/11.21  Sub-proof #142 shows that the following formulas are inconsistent:
% 75.19/11.21  ----------------------------------------------------------------
% 75.19/11.21    (1)  all_6_5 = all_4_1
% 75.19/11.21    (2)  all_6_5 = e1
% 75.19/11.21    (3)   ~ (all_4_1 = e1)
% 75.19/11.21  
% 75.19/11.21  Begin of proof
% 75.19/11.21  | 
% 75.19/11.21  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.21  |   (4)  all_4_1 = e1
% 75.19/11.21  | 
% 75.19/11.21  | SIMP: (4) implies:
% 75.19/11.21  |   (5)  all_4_1 = e1
% 75.19/11.21  | 
% 75.19/11.21  | REDUCE: (3), (5) imply:
% 75.19/11.21  |   (6)  $false
% 75.19/11.21  | 
% 75.19/11.21  | CLOSE: (6) is inconsistent.
% 75.19/11.21  | 
% 75.19/11.21  End of proof
% 75.19/11.21  
% 75.19/11.21  Sub-proof #143 shows that the following formulas are inconsistent:
% 75.19/11.21  ----------------------------------------------------------------
% 75.19/11.21    (1)   ~ (all_4_20 = e1)
% 75.19/11.21    (2)   ~ (all_4_15 = all_4_20)
% 75.19/11.21    (3)   ~ (all_4_15 = e0)
% 75.19/11.21    (4)   ~ (all_4_20 = e4)
% 75.19/11.21    (5)  all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 75.19/11.21         all_10_23 = e3
% 75.19/11.21    (6)  all_6_3 = all_4_15
% 75.19/11.21    (7)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 75.19/11.21    (8)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 75.19/11.21    (9)  all_10_9 = all_4_15
% 75.19/11.21    (10)  all_6_4 = all_4_20
% 75.19/11.21    (11)   ~ (all_4_20 = e0)
% 75.19/11.21    (12)   ~ (all_4_15 = e1)
% 75.19/11.21    (13)   ~ (all_4_15 = e4)
% 75.19/11.21  
% 75.19/11.21  Begin of proof
% 75.19/11.21  | 
% 75.19/11.21  | BETA: splitting (7) gives:
% 75.19/11.21  | 
% 75.19/11.21  | Case 1:
% 75.19/11.21  | | 
% 75.19/11.21  | |   (14)  all_6_3 = e4
% 75.19/11.21  | | 
% 75.19/11.21  | | REF_CLOSE: (6), (13), (14) are inconsistent by sub-proof #149.
% 75.19/11.21  | | 
% 75.19/11.21  | Case 2:
% 75.19/11.21  | | 
% 75.19/11.21  | |   (15)  all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 75.19/11.21  | | 
% 75.19/11.21  | | BETA: splitting (8) gives:
% 75.19/11.21  | | 
% 75.19/11.21  | | Case 1:
% 75.19/11.21  | | | 
% 75.19/11.21  | | |   (16)  all_6_4 = e4
% 75.19/11.21  | | | 
% 75.19/11.21  | | | COMBINE_EQS: (10), (16) imply:
% 75.19/11.21  | | |   (17)  all_4_20 = e4
% 75.19/11.21  | | | 
% 75.19/11.21  | | | SIMP: (17) implies:
% 75.19/11.21  | | |   (18)  all_4_20 = e4
% 75.19/11.21  | | | 
% 75.19/11.21  | | | REDUCE: (4), (18) imply:
% 75.19/11.21  | | |   (19)  $false
% 75.19/11.21  | | | 
% 75.19/11.21  | | | CLOSE: (19) is inconsistent.
% 75.19/11.21  | | | 
% 75.19/11.21  | | Case 2:
% 75.19/11.21  | | | 
% 75.19/11.21  | | |   (20)  all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 75.19/11.21  | | | 
% 75.19/11.21  | | | BETA: splitting (20) gives:
% 75.19/11.21  | | | 
% 75.19/11.21  | | | Case 1:
% 75.19/11.21  | | | | 
% 75.19/11.21  | | | |   (21)  all_6_4 = e1
% 75.19/11.21  | | | | 
% 75.19/11.21  | | | | REF_CLOSE: (1), (10), (21) are inconsistent by sub-proof #148.
% 75.19/11.21  | | | | 
% 75.19/11.21  | | | Case 2:
% 75.19/11.21  | | | | 
% 75.19/11.21  | | | |   (22)  all_6_4 = e3 | all_6_4 = e0
% 75.19/11.21  | | | | 
% 75.19/11.21  | | | | BETA: splitting (5) gives:
% 75.19/11.21  | | | | 
% 75.19/11.21  | | | | Case 1:
% 75.19/11.21  | | | | | 
% 75.19/11.21  | | | | |   (23)  all_10_9 = e3
% 75.19/11.21  | | | | | 
% 75.19/11.21  | | | | | COMBINE_EQS: (9), (23) imply:
% 75.19/11.21  | | | | |   (24)  all_4_15 = e3
% 75.19/11.21  | | | | | 
% 75.19/11.21  | | | | | REDUCE: (2), (24) imply:
% 75.19/11.21  | | | | |   (25)   ~ (all_4_20 = e3)
% 75.19/11.21  | | | | | 
% 75.19/11.21  | | | | | SIMP: (25) implies:
% 75.19/11.21  | | | | |   (26)   ~ (all_4_20 = e3)
% 75.19/11.21  | | | | | 
% 75.19/11.21  | | | | | REF_CLOSE: (10), (11), (22), (26) are inconsistent by sub-proof #147.
% 75.19/11.21  | | | | | 
% 75.19/11.21  | | | | Case 2:
% 75.19/11.21  | | | | | 
% 75.19/11.21  | | | | |   (27)   ~ (all_10_9 = e3)
% 75.19/11.21  | | | | | 
% 75.19/11.21  | | | | | REF_CLOSE: (3), (6), (9), (12), (15), (27) are inconsistent by
% 75.19/11.21  | | | | |            sub-proof #144.
% 75.19/11.21  | | | | | 
% 75.19/11.21  | | | | End of split
% 75.19/11.21  | | | | 
% 75.19/11.21  | | | End of split
% 75.19/11.21  | | | 
% 75.19/11.21  | | End of split
% 75.19/11.21  | | 
% 75.19/11.21  | End of split
% 75.19/11.21  | 
% 75.19/11.21  End of proof
% 75.19/11.21  
% 75.19/11.21  Sub-proof #144 shows that the following formulas are inconsistent:
% 75.19/11.21  ----------------------------------------------------------------
% 75.19/11.21    (1)   ~ (all_4_15 = e0)
% 75.19/11.21    (2)  all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 75.19/11.21    (3)  all_6_3 = all_4_15
% 75.19/11.21    (4)  all_10_9 = all_4_15
% 75.19/11.21    (5)   ~ (all_10_9 = e3)
% 75.19/11.21    (6)   ~ (all_4_15 = e1)
% 75.19/11.21  
% 75.19/11.21  Begin of proof
% 75.19/11.21  | 
% 75.19/11.21  | REDUCE: (4), (5) imply:
% 75.19/11.21  |   (7)   ~ (all_4_15 = e3)
% 75.19/11.21  | 
% 75.19/11.21  | BETA: splitting (2) gives:
% 75.19/11.21  | 
% 75.19/11.21  | Case 1:
% 75.19/11.21  | | 
% 75.19/11.21  | |   (8)  all_6_3 = e1
% 75.19/11.21  | | 
% 75.19/11.21  | | REF_CLOSE: (3), (6), (8) are inconsistent by sub-proof #146.
% 75.19/11.21  | | 
% 75.19/11.21  | Case 2:
% 75.19/11.21  | | 
% 75.19/11.22  | |   (9)  all_6_3 = e3 | all_6_3 = e0
% 75.19/11.22  | | 
% 75.19/11.22  | | BETA: splitting (9) gives:
% 75.19/11.22  | | 
% 75.19/11.22  | | Case 1:
% 75.19/11.22  | | | 
% 75.19/11.22  | | |   (10)  all_6_3 = e3
% 75.19/11.22  | | | 
% 75.19/11.22  | | | COMBINE_EQS: (3), (10) imply:
% 75.19/11.22  | | |   (11)  all_4_15 = e3
% 75.19/11.22  | | | 
% 75.19/11.22  | | | SIMP: (11) implies:
% 75.19/11.22  | | |   (12)  all_4_15 = e3
% 75.19/11.22  | | | 
% 75.19/11.22  | | | REDUCE: (7), (12) imply:
% 75.19/11.22  | | |   (13)  $false
% 75.19/11.22  | | | 
% 75.19/11.22  | | | CLOSE: (13) is inconsistent.
% 75.19/11.22  | | | 
% 75.19/11.22  | | Case 2:
% 75.19/11.22  | | | 
% 75.19/11.22  | | |   (14)  all_6_3 = e0
% 75.19/11.22  | | | 
% 75.19/11.22  | | | REF_CLOSE: (1), (3), (14) are inconsistent by sub-proof #145.
% 75.19/11.22  | | | 
% 75.19/11.22  | | End of split
% 75.19/11.22  | | 
% 75.19/11.22  | End of split
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #145 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)  all_6_3 = all_4_15
% 75.19/11.22    (2)  all_6_3 = e0
% 75.19/11.22    (3)   ~ (all_4_15 = e0)
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.22  |   (4)  all_4_15 = e0
% 75.19/11.22  | 
% 75.19/11.22  | SIMP: (4) implies:
% 75.19/11.22  |   (5)  all_4_15 = e0
% 75.19/11.22  | 
% 75.19/11.22  | REDUCE: (3), (5) imply:
% 75.19/11.22  |   (6)  $false
% 75.19/11.22  | 
% 75.19/11.22  | CLOSE: (6) is inconsistent.
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #146 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)  all_6_3 = all_4_15
% 75.19/11.22    (2)  all_6_3 = e1
% 75.19/11.22    (3)   ~ (all_4_15 = e1)
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.22  |   (4)  all_4_15 = e1
% 75.19/11.22  | 
% 75.19/11.22  | SIMP: (4) implies:
% 75.19/11.22  |   (5)  all_4_15 = e1
% 75.19/11.22  | 
% 75.19/11.22  | REDUCE: (3), (5) imply:
% 75.19/11.22  |   (6)  $false
% 75.19/11.22  | 
% 75.19/11.22  | CLOSE: (6) is inconsistent.
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #147 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)  all_6_4 = e3 | all_6_4 = e0
% 75.19/11.22    (2)  all_6_4 = all_4_20
% 75.19/11.22    (3)   ~ (all_4_20 = e3)
% 75.19/11.22    (4)   ~ (all_4_20 = e0)
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | BETA: splitting (1) gives:
% 75.19/11.22  | 
% 75.19/11.22  | Case 1:
% 75.19/11.22  | | 
% 75.19/11.22  | |   (5)  all_6_4 = e3
% 75.19/11.22  | | 
% 75.19/11.22  | | COMBINE_EQS: (2), (5) imply:
% 75.19/11.22  | |   (6)  all_4_20 = e3
% 75.19/11.22  | | 
% 75.19/11.22  | | SIMP: (6) implies:
% 75.19/11.22  | |   (7)  all_4_20 = e3
% 75.19/11.22  | | 
% 75.19/11.22  | | REDUCE: (3), (7) imply:
% 75.19/11.22  | |   (8)  $false
% 75.19/11.22  | | 
% 75.19/11.22  | | CLOSE: (8) is inconsistent.
% 75.19/11.22  | | 
% 75.19/11.22  | Case 2:
% 75.19/11.22  | | 
% 75.19/11.22  | |   (9)  all_6_4 = e0
% 75.19/11.22  | | 
% 75.19/11.22  | | COMBINE_EQS: (2), (9) imply:
% 75.19/11.22  | |   (10)  all_4_20 = e0
% 75.19/11.22  | | 
% 75.19/11.22  | | SIMP: (10) implies:
% 75.19/11.22  | |   (11)  all_4_20 = e0
% 75.19/11.22  | | 
% 75.19/11.22  | | REDUCE: (4), (11) imply:
% 75.19/11.22  | |   (12)  $false
% 75.19/11.22  | | 
% 75.19/11.22  | | CLOSE: (12) is inconsistent.
% 75.19/11.22  | | 
% 75.19/11.22  | End of split
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #148 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)  all_6_4 = all_4_20
% 75.19/11.22    (2)  all_6_4 = e1
% 75.19/11.22    (3)   ~ (all_4_20 = e1)
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.22  |   (4)  all_4_20 = e1
% 75.19/11.22  | 
% 75.19/11.22  | SIMP: (4) implies:
% 75.19/11.22  |   (5)  all_4_20 = e1
% 75.19/11.22  | 
% 75.19/11.22  | REDUCE: (3), (5) imply:
% 75.19/11.22  |   (6)  $false
% 75.19/11.22  | 
% 75.19/11.22  | CLOSE: (6) is inconsistent.
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #149 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)  all_6_3 = all_4_15
% 75.19/11.22    (2)  all_6_3 = e4
% 75.19/11.22    (3)   ~ (all_4_15 = e4)
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.22  |   (4)  all_4_15 = e4
% 75.19/11.22  | 
% 75.19/11.22  | SIMP: (4) implies:
% 75.19/11.22  |   (5)  all_4_15 = e4
% 75.19/11.22  | 
% 75.19/11.22  | REDUCE: (3), (5) imply:
% 75.19/11.22  |   (6)  $false
% 75.19/11.22  | 
% 75.19/11.22  | CLOSE: (6) is inconsistent.
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #150 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)  all_10_6 = e4
% 75.19/11.22    (2)  all_10_6 = e0
% 75.19/11.22    (3)   ~ (e4 = e0)
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.22  |   (4)  e4 = e0
% 75.19/11.22  | 
% 75.19/11.22  | SIMP: (4) implies:
% 75.19/11.22  |   (5)  e4 = e0
% 75.19/11.22  | 
% 75.19/11.22  | REDUCE: (3), (5) imply:
% 75.19/11.22  |   (6)  $false
% 75.19/11.22  | 
% 75.19/11.22  | CLOSE: (6) is inconsistent.
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #151 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)  all_10_20 = e3
% 75.19/11.22    (2)  all_10_20 = e1
% 75.19/11.22    (3)   ~ (e3 = e1)
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.22  |   (4)  e3 = e1
% 75.19/11.22  | 
% 75.19/11.22  | SIMP: (4) implies:
% 75.19/11.22  |   (5)  e3 = e1
% 75.19/11.22  | 
% 75.19/11.22  | REDUCE: (3), (5) imply:
% 75.19/11.22  |   (6)  $false
% 75.19/11.22  | 
% 75.19/11.22  | CLOSE: (6) is inconsistent.
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #152 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)  all_6_3 = all_4_15
% 75.19/11.22    (2)  all_6_3 = e2
% 75.19/11.22    (3)   ~ (all_4_15 = e2)
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.22  |   (4)  all_4_15 = e2
% 75.19/11.22  | 
% 75.19/11.22  | SIMP: (4) implies:
% 75.19/11.22  |   (5)  all_4_15 = e2
% 75.19/11.22  | 
% 75.19/11.22  | REDUCE: (3), (5) imply:
% 75.19/11.22  |   (6)  $false
% 75.19/11.22  | 
% 75.19/11.22  | CLOSE: (6) is inconsistent.
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #153 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)  all_6_5 = all_4_1
% 75.19/11.22    (2)  all_6_5 = e2
% 75.19/11.22    (3)   ~ (all_4_1 = e2)
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.22  |   (4)  all_4_1 = e2
% 75.19/11.22  | 
% 75.19/11.22  | SIMP: (4) implies:
% 75.19/11.22  |   (5)  all_4_1 = e2
% 75.19/11.22  | 
% 75.19/11.22  | REDUCE: (3), (5) imply:
% 75.19/11.22  |   (6)  $false
% 75.19/11.22  | 
% 75.19/11.22  | CLOSE: (6) is inconsistent.
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #154 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)  all_6_4 = all_4_20
% 75.19/11.22    (2)  all_6_4 = e2
% 75.19/11.22    (3)   ~ (all_4_20 = e2)
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.22  |   (4)  all_4_20 = e2
% 75.19/11.22  | 
% 75.19/11.22  | SIMP: (4) implies:
% 75.19/11.22  |   (5)  all_4_20 = e2
% 75.19/11.22  | 
% 75.19/11.22  | REDUCE: (3), (5) imply:
% 75.19/11.22  |   (6)  $false
% 75.19/11.22  | 
% 75.19/11.22  | CLOSE: (6) is inconsistent.
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #155 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)  all_6_1 = all_4_5
% 75.19/11.22    (2)  all_6_1 = e2
% 75.19/11.22    (3)   ~ (all_4_5 = e2)
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.22  |   (4)  all_4_5 = e2
% 75.19/11.22  | 
% 75.19/11.22  | SIMP: (4) implies:
% 75.19/11.22  |   (5)  all_4_5 = e2
% 75.19/11.22  | 
% 75.19/11.22  | REDUCE: (3), (5) imply:
% 75.19/11.22  |   (6)  $false
% 75.19/11.22  | 
% 75.19/11.22  | CLOSE: (6) is inconsistent.
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #156 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)  all_6_22 = all_4_14
% 75.19/11.22    (2)  all_6_22 = e2
% 75.19/11.22    (3)   ~ (all_4_14 = e2)
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.22  |   (4)  all_4_14 = e2
% 75.19/11.22  | 
% 75.19/11.22  | SIMP: (4) implies:
% 75.19/11.22  |   (5)  all_4_14 = e2
% 75.19/11.22  | 
% 75.19/11.22  | REDUCE: (3), (5) imply:
% 75.19/11.22  |   (6)  $false
% 75.19/11.22  | 
% 75.19/11.22  | CLOSE: (6) is inconsistent.
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #157 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)  all_6_21 = all_4_9
% 75.19/11.22    (2)  all_6_21 = e2
% 75.19/11.22    (3)   ~ (all_4_9 = e2)
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.22  |   (4)  all_4_9 = e2
% 75.19/11.22  | 
% 75.19/11.22  | SIMP: (4) implies:
% 75.19/11.22  |   (5)  all_4_9 = e2
% 75.19/11.22  | 
% 75.19/11.22  | REDUCE: (3), (5) imply:
% 75.19/11.22  |   (6)  $false
% 75.19/11.22  | 
% 75.19/11.22  | CLOSE: (6) is inconsistent.
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #158 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)  all_6_9 = all_4_21
% 75.19/11.22    (2)  all_6_9 = e2
% 75.19/11.22    (3)   ~ (all_4_21 = e2)
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.22  |   (4)  all_4_21 = e2
% 75.19/11.22  | 
% 75.19/11.22  | SIMP: (4) implies:
% 75.19/11.22  |   (5)  all_4_21 = e2
% 75.19/11.22  | 
% 75.19/11.22  | REDUCE: (3), (5) imply:
% 75.19/11.22  |   (6)  $false
% 75.19/11.22  | 
% 75.19/11.22  | CLOSE: (6) is inconsistent.
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #159 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)  all_6_11 = all_4_7
% 75.19/11.22    (2)  all_6_11 = e2
% 75.19/11.22    (3)   ~ (all_4_7 = e2)
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.22  |   (4)  all_4_7 = e2
% 75.19/11.22  | 
% 75.19/11.22  | SIMP: (4) implies:
% 75.19/11.22  |   (5)  all_4_7 = e2
% 75.19/11.22  | 
% 75.19/11.22  | REDUCE: (3), (5) imply:
% 75.19/11.22  |   (6)  $false
% 75.19/11.22  | 
% 75.19/11.22  | CLOSE: (6) is inconsistent.
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #160 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)   ~ (all_4_10 = e1)
% 75.19/11.22    (2)   ~ (all_4_10 = e3)
% 75.19/11.22    (3)  all_10_4 = all_4_10
% 75.19/11.22    (4)   ~ (all_4_10 = e0)
% 75.19/11.22    (5)  op(e4, e4) = e2
% 75.19/11.22    (6)   ~ (all_8_27 = e2)
% 75.19/11.22    (7)  op(e4, all_4_10) = all_8_27
% 75.19/11.22    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 75.19/11.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 75.19/11.22    (9)  all_6_2 = all_4_10
% 75.19/11.22    (10)  all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 75.19/11.22          all_10_22 = e4
% 75.19/11.22    (11)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | BETA: splitting (10) gives:
% 75.19/11.22  | 
% 75.19/11.22  | Case 1:
% 75.19/11.22  | | 
% 75.19/11.22  | |   (12)  all_10_4 = e4
% 75.19/11.22  | | 
% 75.19/11.22  | | REF_CLOSE: (3), (5), (6), (7), (8), (12) are inconsistent by sub-proof #165.
% 75.19/11.22  | | 
% 75.19/11.22  | Case 2:
% 75.19/11.22  | | 
% 75.19/11.22  | |   (13)   ~ (all_10_4 = e4)
% 75.19/11.22  | | 
% 75.19/11.22  | | REDUCE: (3), (13) imply:
% 75.19/11.22  | |   (14)   ~ (all_4_10 = e4)
% 75.19/11.22  | | 
% 75.19/11.22  | | REF_CLOSE: (1), (2), (4), (9), (11), (14) are inconsistent by sub-proof
% 75.19/11.22  | |            #161.
% 75.19/11.22  | | 
% 75.19/11.22  | End of split
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #161 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)   ~ (all_4_10 = e1)
% 75.19/11.22    (2)   ~ (all_4_10 = e3)
% 75.19/11.22    (3)   ~ (all_4_10 = e0)
% 75.19/11.22    (4)   ~ (all_4_10 = e4)
% 75.19/11.22    (5)  all_6_2 = all_4_10
% 75.19/11.22    (6)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | BETA: splitting (6) gives:
% 75.19/11.22  | 
% 75.19/11.22  | Case 1:
% 75.19/11.22  | | 
% 75.19/11.22  | |   (7)  all_6_2 = e4
% 75.19/11.22  | | 
% 75.19/11.22  | | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #164.
% 75.19/11.22  | | 
% 75.19/11.22  | Case 2:
% 75.19/11.22  | | 
% 75.19/11.22  | |   (8)  all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 75.19/11.22  | | 
% 75.19/11.22  | | REF_CLOSE: (1), (2), (3), (5), (8) are inconsistent by sub-proof #162.
% 75.19/11.22  | | 
% 75.19/11.22  | End of split
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #162 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)   ~ (all_4_10 = e1)
% 75.19/11.22    (2)   ~ (all_4_10 = e3)
% 75.19/11.22    (3)   ~ (all_4_10 = e0)
% 75.19/11.22    (4)  all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 75.19/11.22    (5)  all_6_2 = all_4_10
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | BETA: splitting (4) gives:
% 75.19/11.22  | 
% 75.19/11.22  | Case 1:
% 75.19/11.22  | | 
% 75.19/11.22  | |   (6)  all_6_2 = e1
% 75.19/11.22  | | 
% 75.19/11.22  | | COMBINE_EQS: (5), (6) imply:
% 75.19/11.22  | |   (7)  all_4_10 = e1
% 75.19/11.22  | | 
% 75.19/11.22  | | SIMP: (7) implies:
% 75.19/11.22  | |   (8)  all_4_10 = e1
% 75.19/11.22  | | 
% 75.19/11.22  | | REDUCE: (1), (8) imply:
% 75.19/11.22  | |   (9)  $false
% 75.19/11.22  | | 
% 75.19/11.22  | | CLOSE: (9) is inconsistent.
% 75.19/11.22  | | 
% 75.19/11.22  | Case 2:
% 75.19/11.22  | | 
% 75.19/11.22  | |   (10)  all_6_2 = e3 | all_6_2 = e0
% 75.19/11.22  | | 
% 75.19/11.22  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #163.
% 75.19/11.22  | | 
% 75.19/11.22  | End of split
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #163 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)  all_6_2 = e3 | all_6_2 = e0
% 75.19/11.22    (2)  all_6_2 = all_4_10
% 75.19/11.22    (3)   ~ (all_4_10 = e3)
% 75.19/11.22    (4)   ~ (all_4_10 = e0)
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | BETA: splitting (1) gives:
% 75.19/11.22  | 
% 75.19/11.22  | Case 1:
% 75.19/11.22  | | 
% 75.19/11.22  | |   (5)  all_6_2 = e3
% 75.19/11.22  | | 
% 75.19/11.22  | | COMBINE_EQS: (2), (5) imply:
% 75.19/11.22  | |   (6)  all_4_10 = e3
% 75.19/11.22  | | 
% 75.19/11.22  | | SIMP: (6) implies:
% 75.19/11.22  | |   (7)  all_4_10 = e3
% 75.19/11.22  | | 
% 75.19/11.22  | | REDUCE: (3), (7) imply:
% 75.19/11.22  | |   (8)  $false
% 75.19/11.22  | | 
% 75.19/11.22  | | CLOSE: (8) is inconsistent.
% 75.19/11.22  | | 
% 75.19/11.22  | Case 2:
% 75.19/11.22  | | 
% 75.19/11.22  | |   (9)  all_6_2 = e0
% 75.19/11.22  | | 
% 75.19/11.22  | | COMBINE_EQS: (2), (9) imply:
% 75.19/11.22  | |   (10)  all_4_10 = e0
% 75.19/11.22  | | 
% 75.19/11.22  | | SIMP: (10) implies:
% 75.19/11.22  | |   (11)  all_4_10 = e0
% 75.19/11.22  | | 
% 75.19/11.22  | | REDUCE: (4), (11) imply:
% 75.19/11.22  | |   (12)  $false
% 75.19/11.22  | | 
% 75.19/11.22  | | CLOSE: (12) is inconsistent.
% 75.19/11.22  | | 
% 75.19/11.22  | End of split
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #164 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)  all_6_2 = all_4_10
% 75.19/11.22    (2)  all_6_2 = e4
% 75.19/11.22    (3)   ~ (all_4_10 = e4)
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.22  |   (4)  all_4_10 = e4
% 75.19/11.22  | 
% 75.19/11.22  | SIMP: (4) implies:
% 75.19/11.22  |   (5)  all_4_10 = e4
% 75.19/11.22  | 
% 75.19/11.22  | REDUCE: (3), (5) imply:
% 75.19/11.22  |   (6)  $false
% 75.19/11.22  | 
% 75.19/11.22  | CLOSE: (6) is inconsistent.
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #165 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)  all_10_4 = all_4_10
% 75.19/11.22    (2)  op(e4, e4) = e2
% 75.19/11.22    (3)   ~ (all_8_27 = e2)
% 75.19/11.22    (4)  all_10_4 = e4
% 75.19/11.22    (5)  op(e4, all_4_10) = all_8_27
% 75.19/11.22    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 75.19/11.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | COMBINE_EQS: (1), (4) imply:
% 75.19/11.22  |   (7)  all_4_10 = e4
% 75.19/11.22  | 
% 75.19/11.22  | REDUCE: (5), (7) imply:
% 75.19/11.22  |   (8)  op(e4, e4) = all_8_27
% 75.19/11.22  | 
% 75.19/11.22  | GROUND_INST: instantiating (6) with e2, all_8_27, e4, e4, simplifying with
% 75.19/11.22  |              (2), (8) gives:
% 75.19/11.22  |   (9)  all_8_27 = e2
% 75.19/11.22  | 
% 75.19/11.22  | REDUCE: (3), (9) imply:
% 75.19/11.22  |   (10)  $false
% 75.19/11.22  | 
% 75.19/11.22  | CLOSE: (10) is inconsistent.
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #166 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)  all_10_15 = e4
% 75.19/11.22    (2)   ~ (e2 = e1)
% 75.19/11.22    (3)  all_10_23 = e2
% 75.19/11.22    (4)  all_10_15 = e1 | all_10_23 = e1
% 75.19/11.22    (5)   ~ (e4 = e1)
% 75.19/11.22  
% 75.19/11.22  Begin of proof
% 75.19/11.22  | 
% 75.19/11.22  | BETA: splitting (4) gives:
% 75.19/11.22  | 
% 75.19/11.22  | Case 1:
% 75.19/11.22  | | 
% 75.19/11.22  | |   (6)  all_10_15 = e1
% 75.19/11.22  | | 
% 75.19/11.22  | | COMBINE_EQS: (1), (6) imply:
% 75.19/11.22  | |   (7)  e4 = e1
% 75.19/11.22  | | 
% 75.19/11.22  | | REDUCE: (5), (7) imply:
% 75.19/11.22  | |   (8)  $false
% 75.19/11.22  | | 
% 75.19/11.22  | | CLOSE: (8) is inconsistent.
% 75.19/11.22  | | 
% 75.19/11.22  | Case 2:
% 75.19/11.22  | | 
% 75.19/11.22  | |   (9)  all_10_23 = e1
% 75.19/11.22  | | 
% 75.19/11.22  | | COMBINE_EQS: (3), (9) imply:
% 75.19/11.22  | |   (10)  e2 = e1
% 75.19/11.22  | | 
% 75.19/11.22  | | SIMP: (10) implies:
% 75.19/11.22  | |   (11)  e2 = e1
% 75.19/11.22  | | 
% 75.19/11.22  | | REDUCE: (2), (11) imply:
% 75.19/11.22  | |   (12)  $false
% 75.19/11.22  | | 
% 75.19/11.22  | | CLOSE: (12) is inconsistent.
% 75.19/11.22  | | 
% 75.19/11.22  | End of split
% 75.19/11.22  | 
% 75.19/11.22  End of proof
% 75.19/11.22  
% 75.19/11.22  Sub-proof #167 shows that the following formulas are inconsistent:
% 75.19/11.22  ----------------------------------------------------------------
% 75.19/11.22    (1)  op(e2, all_4_17) = all_8_46
% 75.19/11.22    (2)  op(e2, e1) = e4
% 75.19/11.22    (3)  op(e2, e1) = all_4_17
% 75.19/11.22    (4)   ~ (all_4_17 = e4)
% 75.19/11.23    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 75.19/11.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 75.19/11.23    (6)  all_4_17 = e1
% 75.19/11.23  
% 75.19/11.23  Begin of proof
% 75.19/11.23  | 
% 75.19/11.23  | SIMP: (6) implies:
% 75.19/11.23  |   (7)  all_4_17 = e1
% 75.19/11.23  | 
% 75.19/11.23  | REDUCE: (4), (7) imply:
% 75.19/11.23  |   (8)   ~ (e4 = e1)
% 75.19/11.23  | 
% 75.19/11.23  | SIMP: (8) implies:
% 75.19/11.23  |   (9)   ~ (e4 = e1)
% 75.19/11.23  | 
% 75.19/11.23  | REDUCE: (1), (7) imply:
% 75.19/11.23  |   (10)  op(e2, e1) = all_8_46
% 75.19/11.23  | 
% 75.19/11.23  | REDUCE: (3), (7) imply:
% 75.19/11.23  |   (11)  op(e2, e1) = e1
% 75.19/11.23  | 
% 75.19/11.23  | GROUND_INST: instantiating (5) with e4, all_8_46, e1, e2, simplifying with
% 75.19/11.23  |              (2), (10) gives:
% 75.19/11.23  |   (12)  all_8_46 = e4
% 75.19/11.23  | 
% 75.19/11.23  | GROUND_INST: instantiating (5) with e1, all_8_46, e1, e2, simplifying with
% 75.19/11.23  |              (10), (11) gives:
% 75.19/11.23  |   (13)  all_8_46 = e1
% 75.19/11.23  | 
% 75.19/11.23  | COMBINE_EQS: (12), (13) imply:
% 75.19/11.23  |   (14)  e4 = e1
% 75.19/11.23  | 
% 75.19/11.23  | SIMP: (14) implies:
% 75.19/11.23  |   (15)  e4 = e1
% 75.19/11.23  | 
% 75.19/11.23  | REDUCE: (9), (15) imply:
% 75.19/11.23  |   (16)  $false
% 75.19/11.23  | 
% 75.19/11.23  | CLOSE: (16) is inconsistent.
% 75.19/11.23  | 
% 75.19/11.23  End of proof
% 75.19/11.23  
% 75.19/11.23  Sub-proof #168 shows that the following formulas are inconsistent:
% 75.19/11.23  ----------------------------------------------------------------
% 75.19/11.23    (1)  all_6_2 = all_4_10
% 75.19/11.23    (2)  all_6_2 = e2
% 75.19/11.23    (3)   ~ (all_4_10 = e2)
% 75.19/11.23  
% 75.19/11.23  Begin of proof
% 75.19/11.23  | 
% 75.19/11.23  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.23  |   (4)  all_4_10 = e2
% 75.19/11.23  | 
% 75.19/11.23  | SIMP: (4) implies:
% 75.19/11.23  |   (5)  all_4_10 = e2
% 75.19/11.23  | 
% 75.19/11.23  | REDUCE: (3), (5) imply:
% 75.19/11.23  |   (6)  $false
% 75.19/11.23  | 
% 75.19/11.23  | CLOSE: (6) is inconsistent.
% 75.19/11.23  | 
% 75.19/11.23  End of proof
% 75.19/11.23  
% 75.19/11.23  Sub-proof #169 shows that the following formulas are inconsistent:
% 75.19/11.23  ----------------------------------------------------------------
% 75.19/11.23    (1)  all_6_15 = all_4_3
% 75.19/11.23    (2)  all_6_15 = e2
% 75.19/11.23    (3)   ~ (all_4_3 = e2)
% 75.19/11.23  
% 75.19/11.23  Begin of proof
% 75.19/11.23  | 
% 75.19/11.23  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.23  |   (4)  all_4_3 = e2
% 75.19/11.23  | 
% 75.19/11.23  | SIMP: (4) implies:
% 75.19/11.23  |   (5)  all_4_3 = e2
% 75.19/11.23  | 
% 75.19/11.23  | REDUCE: (3), (5) imply:
% 75.19/11.23  |   (6)  $false
% 75.19/11.23  | 
% 75.19/11.23  | CLOSE: (6) is inconsistent.
% 75.19/11.23  | 
% 75.19/11.23  End of proof
% 75.19/11.23  
% 75.19/11.23  Sub-proof #170 shows that the following formulas are inconsistent:
% 75.19/11.23  ----------------------------------------------------------------
% 75.19/11.23    (1)  all_8_65 = e2
% 75.19/11.23    (2)  all_8_65 = e1
% 75.19/11.23    (3)   ~ (e2 = e1)
% 75.19/11.23  
% 75.19/11.23  Begin of proof
% 75.19/11.23  | 
% 75.19/11.23  | COMBINE_EQS: (1), (2) imply:
% 75.19/11.23  |   (4)  e2 = e1
% 75.19/11.23  | 
% 75.19/11.23  | SIMP: (4) implies:
% 75.19/11.23  |   (5)  e2 = e1
% 75.19/11.23  | 
% 75.19/11.23  | REDUCE: (3), (5) imply:
% 75.19/11.23  |   (6)  $false
% 75.19/11.23  | 
% 75.19/11.23  | CLOSE: (6) is inconsistent.
% 75.19/11.23  | 
% 75.19/11.23  End of proof
% 75.19/11.23  % SZS output end Proof for theBenchmark
% 75.19/11.23  
% 75.19/11.23  10634ms
%------------------------------------------------------------------------------